Grupo de Física Estadística de la UEx

Publicaciones – Santos Bravo Yuste

  1. Santos Bravo Yuste. Note on a classical case of self-organization: The Persian Immortals. American Journal of Physics (accepted) 2025 [preprint: pdf]
  2. Rubén Gómez-Gónzalez, Santos Bravo Yuste, Vicente Garzó. Mean square displacement of intruders in freely cooling multicomponent granular mixtures. Phys. Rev. E (accepted) 2024. arXiv: https://doi.org/10.48550/arXiv.2409.08726
  3. Santos Bravo Yuste, Rubén Gómez-Gónzalez, Vicente Garzó. Gaseous diffusion as a correlated random walk. Phys. Rev. E 110, 014102 (2024) DOI:10.1103/PhysRevE.110.014102 [pdf]
  4. J. Quintana-Murillo, J., Santos B. Yuste. An Adaptive Difference Method for Variable-Order Diffusion Equations. Mediterr. J. Math. 21, 145 (2024). DOI: 10.1007/s00009-024-02681-6 [pdf]
  5. A. M. Montero, A. Rodríguez-Rivas, S. B. Yuste, A. Santos, and M. López de Haro. On a conjecture concerning the Fisher-Widom line and the line of vanishing excess isothermal compressibility in simple fluids, Molecular Physics, 122 e2357270 (2024) DOI:10.1080/00268976.2024.2357270 [pdf]
  6. R. Gómez-Gónzalez, E. Abad, S. B. Yuste, V. Garzó. Diffusion of intruders in granular suspensions: Enskog theory and random walk interpretation. Physical Review E, 108, 024903 (2023) DOI:10.1103/PhysRevE.108.024903 [pdf]
  7. E. Abad, S. B. Yuste, V. Garzó. On the mean square displacement of intruders in freely cooling granular gases. Granular Matter, 24:111, pp. 1-19 (2022). DOI:10.1007/s10035-022-01256-0  [pdf]
  8. S. B. Yuste, A. Santos, M. López de Haro. Structural and thermodynamic properties of fluids whose molecules interact via one-, two-, and three-step potentials. J. Mol. Phys. 364, 119890, pp. 1-10 (2022). DOI:10.1016/j.molliq.2022.119890  [pdf]
  9. F. Le Vot, S. B. Yuste, E. Abad, D. Grebenkov. First-encounter time of two diffusing particles in two- and three-dimensional confinement. Phy. Rev. E 105, 044119, pp. 1-20 (2022). DOI:10.1103/PhysRevE.105.044119  [pdf]
  10. S. Pieprzyk, S. B. Yuste, A. Santos, M. López de Haro, A. C. Brańka. Structural properties of additive binary hard-sphere mixtures. III. Direct correlation functions. Phys. Rev. E 104, 054142, pp. 1-10 (2021). DOI:10.1103/PhysRevE.104.054142  [pdf]
  11. S. Pieprzyk, S. B. Yuste, A. Santos, M. López de Haro, A. C. Brańka. Structural properties of additive binary hard-sphere mixtures. II. Asymptotic behavior and structural crossovers. Phys. Rev. E 104, 024128, pp. 1-14 (2021). DOI:10.1103/PhysRevE.104.024128  [pdf]
  12. M. A. López-Castaño, J. F. González-Saavedra, A. Rodríguez-Rivas, E. Abad, S. B. Yuste, F. Vega Reyes. Pseudo-two-dimensional dynamics in a system of macroscopic rolling spheres . Phys. Rev. E 103, 042903, pp. 1-13 (2021). DOI:10.1103/PhysRevE.103.042903  [pdf]
  13. A. Santos, S. B. Yuste, M. López de Haro. Structural and thermodynamic properties of hard-sphere fluids. J. Chem. Phys. 153, 120901, pp. 1-30 (2020). DOI:10.1063/5.0023903  [pdf]
  14. F. Le Vot, S. B. Yuste, E. Abad, D. Grebenkov. First-encounter time of two diffusing particles in confinement. Phy. Rev. E 102, 032118, pp. 1-16 (2020). DOI:10.1103/PhysRevE.102.032118  [pdf]
  15. E. Abad, C. N. Angstmann, B. I. Henry, A. V. McGann, F. Le Vot, S. B. Yuste. Reaction-diffusion and reaction-subdiffusion equations on arbitrarily evolving domains. Phy. Rev. E 102, 032111, pp. 1-20 (2020). DOI:10.1103/PhysRevE.102.032111  [pdf]
  16. F. Le Vot, E. Abad, R. Metzler, S. B. Yuste. Continuous time random walk in a velocity field: role of domain growth, Galilei-invariant advection-diffusion, and kinetics of particle mixing. New Journal of Physics 22, 073048, pp. 1-26 (2020). DOI:10.1088/1367-2630/ab9ae2  [pdf]
  17. M. López de Haro, A. Santos, S. B. Yuste. Equation of State of Four- and Five-Dimensional Hard-Hypersphere Mixtures. Entropy 22, 469, pp. 1-18 (2020) . DOI:10.3390/e22040469  [pdf]
  18. S. Pieprzyk, A. C. Brańka, S. B. Yuste, A. Santos, M. López de Haro. Structural properties of additive binary hard-sphere mixtures. Phys. Rev. E 101, 012117, pp. 1-10 (2020). DOI:10.1103/PhysRevE.101.012117  [pdf]
  19. E. Abad, C. Escudero, F. Le Vot,  S. B. Yuste, First-Passage Processes and Encounter-Controlled Reactions in Growing Domains, in Chemical Kinetics: Beyond the Textbook, edited by K. Lindenberg, R. Metzler and G. Oshanin (World Scientific, New Jersey, 2019). ISBN: 978-1786347008.
  20. F. Le Vot, S. B. Yuste, E. Abad. Standard and fractional Ornstein-Uhlenbeck process on a growing domain. Phys. Rev. E 100, 012142, pp. 1-17 (2019) . DOI:10.1103/PhysRevE.100.012142  [pdf]
  21. F. Le Vot, S. B. Yuste. Continuous-time random walks and Fokker-Planck equation in expanding media. Phys. Rev. E 98, 042117, pp. 1-12 (2018). DOI:10.1103/PhysRevE.98.042117  [pdf]
  22. C. Escudero, S. B. Yuste, E. Abad, F. Le Vot, Reaction-diffusion kinetics in growing domains, in Integrated Population Biology and Modeling, edited by A. S. R. Srinivasa Rao and C. R. Rao, Handbook of Statistics, Part A, Vol. 39 (Elsevier, Amsterdam, 2018). ISBN: 9780444640727 (preprint: https://arxiv.org/abs/1803.01061)
  23. F. Le Vot, C. Escudero, E. Abad, S. B. Yuste. Encounter-controlled coalescence and annihilation on a one-dimensional growing domain. Phys.Rev. E 98, 032137, pp. 1-15 (2018). DOI:10.1103/PhysRevE.98.032137  [pdf] 
  24. M. López de Haro, A. Rodríguez-Rivas, S. B. Yuste, A. Santos. Structural properties of the Jagla fluid. Phys. Rev. E  98, 012138, pp. 1-11 (2018). DOI:10.1103/PhysRevE.98.012138  [pdf] 
  25. A. Santos, S. B. Yuste, M. López de Haro, V. Ogarko. Equation of state of polydisperse hard-disk mixtures in the high-density regime. Phys. Rev. E  96, 062603, pp. 1-11 (2017). DOI:10.1103/PhysRevE.96.062603  [pdf] 
  26. Giacomo Fiumara, Franz Saija, Giuseppe Pellicane, Mariano López de Haro, Andrés Santos,  Santos B. Yuste. Virial coefficients, equation of state, and demixing of binary asymmetric nonadditive hard-disk mixtures. J. Chem. Phys. 147, 164502, pp. 1-11 (2017). DOI:10.1063/1.4990614  [pdf] 
  27. Felipe Le Vot, Enrique Abad, Santos B. Yuste. Continuous-time random-walk model for anomalous diffusion in expanding media. Phys. Rev. E 96 032117 pp. 1-16 (2017). DOI:10.1103/PhysRevE.94.032118  [pdf]
  28. M. López de Haro, S. B. Yuste, A. Santos. Theoretical approaches to the structural properties of the square-shoulder fluid. Mol. Phys. 114, pp. 2382-2390 (2016). DOI:10.1080/00268976.2016.1154199  [pdf]
  29. Santos Bravo Yuste, Enrique Abad, Carlos Escudero. Diffusion in an expanding medium: Fokker-Planck equation, Green’s function, and first-passage properties. Phys. Rev. E 94  032118 pp. 1-13 (2016). DOI:10.1103/PhysRevE.94.032118  [pdf]
  30. S. B. Yuste, E. Abad and K. Baumgaertner. Anomalous diffusion and dynamics of fluorescence recovery after photobleaching in the random-comb model. Phys. Rev. E 94, 012118  pp. 1-15 (2016). DOI:  10.1103/PhysRevE.94.012118  [pdf] 
  31. Felipe Le Vot, Juan J. Meléndez, Santos B. Yuste. Numerical matrix method for quantum periodic potentials. American Journal of Physics, vol 84 (2016) pp. 426-433. DOI:10.1119/1.4944706.  arXiv:1606.00211v1 [quant-ph].   [pdf]   Mathematica codes employed in this paper can be found here or in https://pubs.aip.org/ajp/article-supplement/1038232/zip/426_1_supplements/ A Phyton version can be downloaded from here.
  32. Santos B. Yuste, J. Quintana-Murillo. Fast, Accurate and Robust Adaptive Finite Difference Methods for Fractional Diffusion Equations. Numerical Algorithms, 71 (1) pp. 207-228 (2016). DOI:110.1007/s11075-015-9998-1.  [pdf]    Mathematica codes employed in this paper can be found here.
  33. M. López de Haro, C. F. Tejero, A. Santos, S. B. Yuste, G. Fiumara, F. Saija. Virial coefficients and demixing in the Asakura-Oosawa model. J. Chem. Phys. 142, 014902, pp. 1-8 (2015). [pdf ]; Erratum, 143, 029902 (2015).  [pdf] 
  34. D. Campos, E. Abad, V. Mendez, S. B. Yuste, K. Lindenberg. Optimal search strategies of space-time coupled random walkers with finite lifetimes. Physical Review E 91, 052115 (2015). DOI: 10.1103/PhysRevE.91.052115  [pdf] 
  35. E. Abad, S. B. Yuste,  K. Lindenberg. Fractional Reaction-Transport Equations Arising from Evanescent Continuous Time Random Walks in «Fractional Calculus: Theory«, Roy Abi Zeid Daou  and Xavier Moreau (Eds.) (Nova Science Publishers, 2014) pp.183-202, chapter 8. ISBN: 978-1-63463-002-3 [pdf]
  36. S. B. Yuste, E. Abad and K. Lindenberg. A reaction-subdiffusion model of fluorescence recovery after photobleaching (FRAP). Journal of Statistical Mechanics: Theory and Experiment P11014 (2014). DOI:  10.1088/1742-5468/2014/11/P11014  [pdf] 
  37. S. B. Yuste, E. Abad, and K. Lindenberg. Arrival Statistics and Explorations Properties of Mortal Walkers in «First-Passage Phenomena and their Applications «, R. Metzler, G. Oshanin, and S. Redner (Eds.) (World Scientific, 2014). pp. 1-20, chapter 1, ISBN: 9789814590280.   [pdf]
  38. A. Santos, S. B. Yuste, M. López de Haro, G. Odriozola, V. Ogarko. A simple effective rule to estimate the jamming packing fraction of polydisperse hard spheres. Phys. Rev. E  89, 040302(R)  (2014). DOI:10.1103/PhysRevE.89.040302  [pdf] 
  39. Enrique Abad, Santos B. Yuste, Katja Lindenberg. Evanescent continuous-time random walks. Phys. Rev. E  88, 062110 (2013). DOI:10.1103/PhysRevE.88.062110  [pdf] 
  40. J. Quintana-Murillo, Santos B. Yuste. A finite difference method with non-uniform timesteps for fractional diffusion and diffusion-wave equations. The European Physical Journal Special Topics, Volume 222, No. 8, September 2013, Pages 1987-1998. DOI:10.1140/epjst/e2013-01979-7.  [pdf]  
  41. A. Santos, S. B. Yuste , M. López de Haro, M. Bárcenas, P. Orea. Structural properties of fluids interacting via piece-wise constant potentials with a hard core.  J. Chem. Phys. 139, 074505 (2013). DOI: 10.1063/1.4818601. Copyright (2013) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. This article may be found at  http://link.aip.org/link/?jcp/139/074505 .
  42. S. B. Yuste, E. Abad and K. Lindenberg. Exploration and Trapping of Mortal Random Walkers. Phys. Rev. Lett. 110, 220603 (2013). DOI: 10.1103/PhysRevLett.110.220603.
  43. Enrique Abad, Santos Bravo Yuste, Katja Lindenberg. Elucidating the Role of Subdiffusion and Evanescence in the Target Problem: Some Recent Results. Mathematical Modelling of Natural Phenomena 8, 100 (2013). DOI:  10.1051/mmnp/20138207.
  44. Enrique Abad, Santos Bravo Yuste, Katja Lindenberg. Survival probability of an immobile target in a sea of evanescent diffusive or subdiffusive traps: A fractional equation approach. Phys. Rev. E 86, 061120 (2012). DOI:  10.1103/PhysRevE.86.061120 .
  45. S. B. Yuste, E. Abad and K. Lindenberg. Fractional calculus and morphogen gradient formation. AIP Conference Proceedings, vol. 1504 (1) pages 1323-1326 (2012). DOI: 10.1063/1.4772174. http://link.aip.org/link/?APC/1504/1323/1.
  46. Santos B. Yuste, J. Quintana-Murillo. A Finite Difference Method with Non-uniform Timesteps for Fractional Diffusion Equations. Computer Physics Communications, Volume 183, Issue 12, December 2012, Pages 2594-2600, ISSN 0010-4655. DOI:10.1016/j.cpc.2012.07.01.  [pdf ]   [math.NA] ::: Corrigendum to “A finite difference method with non-uniform timesteps for fractional diffusion equations” [Comput. Phys. Comm. 183 (12) (2012) 2594–2600] DOI: 10.1016/j.cpc.2013.11.002 [pdf]  
  47. A. Santos, S. B. Yuste , M. López de Haro. Rational-function approximation for fluids interacting via piece-wise constant potentials.  Condensed Matter Physics. 5, 23602 (2012). DOI: 10.5488/CMP.15.23602 [pdf]
  48. F. Saija, A. Santos, S. B. Yuste, and M. López de Haro, Fourth virial coefficients of asymmetric nonadditive hard-disc mixtures, J. Chem. Phys. 136, 184505,pp. 1-8 (2012) [arXiv:1201.1808].
  49. S. I. Denisov, S. B. Yuste, Yu. S. Bystrik, H. Kantz, K. Lindenberg. Asymptotic solutions of decoupled continuous-time random walks with superheavy-tailed waiting time and heavy-tailed jump length distributions.  Phys. Rev. E 84, 061143 (2011). DOI: 10.1103/PhysRevE.84.061143.
  50. A. Santos,  Santos B. Yuste, M. López de Haro, Communication: Inferring the equation of state of a metastable hard-sphere fluid from the equation of state of a hard-sphere mixture at high densities. J. Chem Phys.135, 181102 (2011). DOI:10.1063/1.3663206.
  51. S. B. Yuste, E. Abad, K. Lindenberg, Reactions in Subdiffusive Media and Associated Fractional Equations, in Fractional Dynamics. Recent Advances, J. Klafter, S. C. Lim, and R. Metzler  (Eds.) (World Scientific, 2011). ISBN: 978-981-4340-58-8.[pdf]
  52. J. Quintana-Murillo, Santos B. Yuste. An Explicit Numerical Method for the Fractional Cable Equation.  International Journal of Differential Equations, vol. 2011, Article ID 231920, 12 pages, 2011. DOI:10.1155/2011/231920.
  53. Santos B. Yuste, A. Santos,  M. López de Haro.  Structure of the square-shoulder fluid.  Mol. Phys. 109, 987-995 (2011).
  54. Santos Bravo Yuste, Enrique Abad. On a novel iterative method to compute polynomial approximations to Bessel functions of the first kind and its connection to the solution of fractional diffusion/diffusion-wave problems . J. Phys. A: Math. Theor. 44 075203 (2011)  DOI: 10.1088/1751-8113/44/7/075203 arXiv:1101.2335v1 [math-ph]. (In this link you can find a web page with some additional information on these «Badajoz» polynomials /Polinomios de Badajoz).
  55. Santos Bravo Yuste, Enrique Abad, Katja Lindenberg. A reaction-subdiffusion model of morphogen gradient formation.  Phys. Rev. E 82, 061123 (2010) [9 pages] DOI: 10.1103/PhysRevE.82.061123  (You can find here a talk on this topic).
  56. J. Quintana-Murillo, Santos B. Yuste. An Explicit Difference Method for Solving Fractional Diffusion and Diffusion-Wave Equations in the Caputo Form. Journal of Computational and Nonlinear Dynamics 6, 021014 (2011). DOI:10.1115/1.4002687
  57. Santos Bravo Yuste,  Katja Lindenberg, Enrique Abad. Application of Fractional Calculus to Reaction-Subdiffusion Processes and Morphogen Gradient Formation.  Article no. FDA10-062. Proceedings of FDA’10. The 4th IFAC Workshop Fractional Differentiation and its Applications. Badajoz, Spain, October 18-20, 2010 (Eds: I. Podlubny, B. M. Vinagre Jara, YQ. Chen, V. Feliu Batlle, I. Tejado Balsera). ISBN 9788055304878.
  58. J. Quintana-Murillo, Santos B. Yuste. An Explicit Difference Scheme for the Fractional Cable Equation.  Article no. FDA10-120. Proceedings of FDA’10. The 4th IFAC Workshop Fractional Differentiation and its Applications. Badajoz, Spain, October 18-20, 2010 (Eds: I. Podlubny, B. M. Vinagre Jara, YQ. Chen, V. Feliu Batlle, I. Tejado Balsera). ISBN 9788055304878.  (You can find here the slides of this talk).
  59. A. Santos, M. López de Haro, Santos B. Yuste. Virial coefficients, thermodynamic properties, and fluid-fluid transition of nonadditive hard-sphere mixtures. J. Chem Phys.132, 204506 (2010). DOI:10.1063/1.3429600
  60. E. Abad, S. B. Yuste, K. Lindenberg. Reaction-subdiffusion and reaction-superdiffusion equations for evanescent particles performing continuous-time random walks. Phys. Rev. E 81, 031115 (2010).  DOI: 10.1103/PhysRevE.81.031115.
  61. S. B. Yuste, R. Borrego, E. Abad, Divergent series and memory of the initial condition in the long-time solution of some anomalous diffusion problems. Phys. Rev. E 81, 021105 (2010).  DOI: 10.1103/PhysRevE.81.021105.
  62.  R. Borrego, E. Abad, S. B. Yuste. Survival probability of a subdiffusive particle in a d-dimensional sea of mobile traps. Phys. Rev. E 80, 061121 (2009).  DOI: 10.1103/PhysRevE.80.061121.
  63.  S. B. Yuste,J. J. Ruiz-Lorenzo, K. Lindenberg. Coagulation reactions in low dimensions: Revisiting subdiffusive A+A reactions in one dimension. Phys. Rev. E 80, 051114 (2009).   DOI: 10.1103/PhysRevE.80.051114.
  64. J. Quintana-Murillo and S. B. Yuste. On three explicit difference schemes for fractional diffusion and diffusion-wave equations. Phys. Scr. T136 (2009) 014025.
  65. A. Santos, Santos B. Yuste, M. López de Haro, M. Alawnehb and D. Henderson. Contact values for disparate-size hard-sphere mixtures.  Mol. Phys. 107, 685–691 (2009).
  66. I. M. Sokolov,  S. B. Yuste,  J. J. Ruiz-Lorenzo,   K. Lindenberg. Mean field model of coagulation and annihilation reactions in a medium of quenched traps: Subdiffusion. Phys. Rev. E 79, 051113  (2009).
  67. M. López de Haro,  A. Santos, Santos B. Yuste.  Simple equation of state for hard disks on the hyperbolic plane. J. Chem Phys.129, 116101 (2008).
  68. S. B. Yuste, G. Oshanin, K. Lindenberg, O. Bénichou, and J. Klafter, Survival probability of a particle in a sea of mobile traps: A tale of tails. Phys. Rev. E 78, 021105 (2008)   [arXiv:0805.2920].
  69. S. B. Yuste, J. Klafter, K. Lindenberg. Number of distinct sites visited by a subdiffusive random walker. Phys. Rev. E 77, 032101 (2008),  [arXiv:0711.1422v2].
  70. Santos Bravo Yuste, Andrés Santos,  M. López de Haro.Depletion potential in the infinite dilution limit.J. Chem. Phys. 128, 134507 (2008)   [arXiv:0705.1069]  ::: Erratum: “Depletion potential in the infinite dilution limit” [J. Chem. Phys.128, 134507 (2008)], DOI: 10.1063/1.4874639 [pdf] 
  71. M. López de Haro, S. B. Yuste, and A. Santos, Alternative Approaches to the Equilibrium Properties of Hard-Sphere Liquids , in Theory and Simulation of Hard-Sphere Fluids and Related Systems, A. Mulero (Ed.)  Lect. Notes Phys. 753, 183-245 (2008)_DOI 10.1007/978-3-540-78767-9_ 6.  (Springer, Berlin, 2008)  [pdf]
  72.  S. B. Yuste, K. Lindenberg, J. J. Ruiz-Lorenzo, Subdiffusion-Limited Reactions, in Anomalous Transport: Foundations and Applications, R. Klages, G. Radons, and I. M. Sokolov (Eds.) (Wiley-VCH, Weinheim, 2008). ISBN: 978-3527407224. [preprint]
  73. S. B. Yuste,  K. Lindenberg,  Subdiffusive target problem: Survival probability, Phys. Rev. E 76, 051114 (2007), [arXiv:0709.3055v3].     ► This article was selected for the November 15, 2007 issue of Virtual Journal of Biological Physics Research. [Their editors describe this journal in this way:  The Virtual Journal, which is published by the American Physical Society and the American Institute of Physics in cooperation with numerous other societies and publishers, is an edited compilation of links to articles from participating publishers, covering a focused area of frontier research.  You can access the Virtual Journal at http://www.vjbio.org. The November 15, 2007 issue cand be found at  http://scitation.aip.org/dbt/dbt.jsp?KEY=VIRT02&Volume=14&Issue=10. The article appears in the Statistical and Nonlinear Physics section.]
  74. Alexandr Malijevský, Santos Bravo Yuste, Andrés Santos, Low-temperature and high-temperature approximations for penetrable-sphere fluids: Comparison with Monte Carlo simulations and integral equation theories, Phys. Rev. E 76, 021504-1-13 (2007) [arXiv:0705.1069].
  75. Alexandr Malijevsky, Santos B. Yuste, A. Santos, M. López de Haro,  Multicomponent fluid of hard spheres near a wall, Phys. Rev. E 75, 061201 (2007),  [arXiv:0705.1069v1].
  76. J.J. Ruiz-Lorenzo, S. B. Yuste,  K. Lindenberg,  Simulations for trapping reactions with subdiffusive traps and subdiffusive particles, J. Phys.: Condens. Matter  J. Phys.: Condens. Matter 19 065120 (2007)  [cond-mat/0611050].
  77. Santos Bravo Yuste, Métodos matemáticos avanzados para científicos e ingenieros, Manual 48 UEx (Servicio de Publicaciones de la UEx, Cáceres, 2006)   Este libro puede consultarse y descargarse libre y gratuitamente desde el Repositorio Institucional de la UEx, Dehesa,  o bien pinchando directamente aquí, en formato pdf.  En la página web (http://www.unex.es/eweb/fisteor/santos/mma/) se proporciona  material complementario. 
  78. M. López de Haro,  S. B. Yuste, A. Santos, Test of a universality ansatz for the contact values of the radial distribution functions of hard-sphere mixtures near a hard wall.  Mol. Phys. 1043461–3467(2006)  [cond-mat/0607826].
  79. S. B. Yuste, J.J. Ruiz-Lorenzo, K. Lindenberg,  Target problem with evanescent subdiffusive traps,   Phys. Rev. E 74, 046119 (2006) (7 pages),  [cond-mat/0607655].
  80. Alexandr Malijevsky, Santos B. Yuste, Andrés Santos,  How `sticky’ are short-range square-well fluids? , J. Chem Phys 125, 074507 (2006) [DOI:10.1063/1.2244549] [cond-mat/0605347].
  81. M. López de Haro, A. Santos,  Santos B. Yuste, On the radial distribution function of a hard-sphere fluid, J. Chem Phys 124, 236102 (2006) [DOI: 10.1063/1.220169], [cond-mat/0602125] .
  82. S. B. Yuste, Weighted average finite difference methods for fractional diffusion equations, Journal of Computational Physics  216 (2006) 264-274 [DOI: 10.1016/j.jcp.2005.12.006]. (You can be find here a  Mathematica notebook that uses this method for solving Fractional Diffusion Equations. Choosing the weight factor �=1/2 one gets a fractional version of the Crank-Nicolson method)
  83. S. B. Yuste, K. Lindenberg,  Trapping reactions with subdiffusive traps and particles characterized by different anomalous diffusion exponents,  Phys. Re. E 72, 061103 (2005)  [cond-mat/0510561]  ( Erratum: Trapping reactions with subdiffusive traps and particles characterized by different anomalous diffusion exponents [Phys. Rev. E 72, 061103 (2005)], Phys. Rev.  E 73, 039909 (2006)).
  84. A. Santos, S. B. Yuste, M. López de Haro, Contact values of the particle-particle and wall-particle correlation functions in a hard-sphere polydisperse fluid, J. Chem Phys 123, 234512 (2005)  [cond-mat/0510102].
  85. S. B. Yuste, K. Lindenberg, Trapping reactions with subdiffusive traps and particles,  Proceedings of SPIE 5845, 27 (2005), [cond-mat/0604408].
  86. J. Largo, J. R. Solana, S. B.Yuste,  A. Santos, Pair correlation function of short-ranged square-well fluids, J. Chem. Phys. 122, 084510 (2005), [cond-mat/0410702].
  87. A. Santos, M. López de Haro, S. B. Yuste, Equation of state of non-additive d-dimensional hard-sphere mixtures, J. Chem. Phys.122, 024514  (2005) [cond-mat/0409430].
  88. K. Lindenberg, S. B. Yuste,  Properties of the reaction front in a reaction-subdiffusion process,  Proceedings of SPIE 5471, 20 (2004). [cond-mat/0604439].
  89. S. B. Yuste, L. Acedo, Average shape of fluctuations for subdiffusive walks, Phys. Rev. E 69, 031104 (2004), [cond-mat/0310491].
  90. S. B. Yuste,  K. Lindenberg,  Comment on «Mean First Passage Time for Anomalous Diffusion», Phys. Rev. E 69, 033101 (2004),  [cond-mat/0401072].
  91. S. B. Yuste, L. Acedo, K. Lindenberg,  Reaction Front in an A+B -> C Reaction-Subdiffusion Process, Phys. Rev. E 69, 036126 (2004),  [cond-mat/0401071].
  92. S. B. Yuste,  L. Acedo, Some exact results for the trapping of subdiffusive particles in one dimension, Physica A  336, 334 (2004),  [cond-mat/0311207].
  93. S. B. Yuste, Weighted average finite difference methods for fractional diffusion equations,  Proceedings of the 1ST IFAC WORKSHOP ON FRACTIONAL DIFFERENTIATION AND ITS APPLICATION (A. Le Mehaute, J. A. Tenreiro Machado, J. C. Trigeassou and J. Sabatier Eds.) ENSEIRB, BORDEAUX, pp. 335-340 (19-21 JULY 2004).  Also as preprint in  arXiv:cs/0408053v1 [cs.NA] (2004). (You can be find here a  Mathematica notebook that uses this method for solving Fractional Diffusion Equations. Choosing the weight factor λ=1/2 one gets a fractional version of the Crank-Nicolson method. See also Numerical method à la Crank-Nicolson for fractional diffusion equations.)
  94. S. B. Yuste, L. Acedo, Order statistics of Rosenstock’s trapping problem in disordered media, Phys. Rev. E 68, 036134 (2003), [cond-mat/0309673].
  95. S. B. Yuste, L. Acedo, An explicit finite difference method and a new von Neumann-type stability analyis for fractional diffusion equations, SIAM Journal of Numerical Analysis, 42, 1862-74 (2005). DOI: 10.1137/030602666. Also an earlier version as preprint in arXiv:cs/0311011v1 [cs.NA] (2003) with the title On an explicit finite difference method for fractional diffusion equations. (You can be find here a  Mathematica notebook that uses this method for solving Fractional Diffusion Equations.  See also  Numerical method à la Crank-Nicolson for fractional diffusion equations.)
  96. L. Acedo, S. B. Yuste, Multiparticle random walks, Recent Research Developments in Statistical Physics, Volume 2, Pages 83-106 (Transworld Research Network, Trivandrum, India, 2002), [cond-mat/0310121].
  97. Alexander Malijevský, Anatol Malijevský, S. B. Yuste, A. Santos, M. López de Haro, Structure of ternary additive hard-sphere fluid mixtures, Phys. Rev. E 66, 061203 (2002), [cond-mat/0205552].
  98. M. López de Haro,  S. B. Yuste, A. Santos, Equation of state of additive hard-disk fluid mixtures: A critical analysis of two recent proposal,  Phys. Rev. E 66, 031202 (2002), [cond-mat/0207284].
  99. A. Santos, S. B. Yuste,  M. López de Haro,  Contact values of the radial distribution functions of additive hard-sphere mixtures in d dimensions: A new proposal, J. Chem. Phys. 117, 5785-5793 (2002), [cond-mat/0204246].
  100. L. Acedo, S. B. Yuste, Survival probability and order statistics of diffusion on disordered media, Phys. Rev. E 66, 011110-1/8 (2002),  [cond-mat/0203089].
  101. S. B. Yuste, K. Lindenberg, Subdiffusion-limited reactions, Chem. Phys. 284, 169-180 (2002), [cond-mat/0111261].
  102. S. B. Yuste, H. Sánchez-Pajares, Una función random nada aleatoria, Revista Española de Física 16, n. 2, 60-62 (2002)  [in Spanish].
  103. S. B. Yuste, L. Acedo, K. Lindenberg, Order statistics for d-dimensional diffusion processes, Phys. Rev. E 64, 052102-1/4 (2001),  [cond-mat/0105358].
  104. S. B. Yuste, L. Acedo, Order statistics of the trapping problem,  Phys. Rev. E 64, 061107-1/7 (2001), DOI:10.1103/PhysRevE.64.061107 [pdf]  [cond-mat/0110172].
  105. A. Santos, S. B. Yuste, M. López de Haro, Virial coefficients and equations of state for mixtures of hard discs, hard spheres and hard hyperspheres, Mol. Phys. 99, 1959-1972 (2001)  [cond-mat/0101098].
  106. M. López de Haro, S. B. Yuste, A. Santos, Comment on«Theory and computer simulation for the equation of state of additive hard-disk fluid mixtures» ,[cond-mat/0104584].
  107. S. B. Yuste, K. Lindenberg, Subdiffusion limited A+A  reactions, Phys. Rev. Lett. 87, 118301-1/4 (2001),  [cond-mat/0105338].
  108. S. B. Yuste, L. Acedo, Multiparticle trapping problem in the half-line, Physica A 297, 321-336 (2001), [cond-mat/0105375].
  109. L. Acedo, S. B. Yuste, Territory covered by N random walkers on fractal media: The Sierpinski gasket and the percolation aggregate, Phys. Rev. E 63, 011105-1/12 (2001), DOI:10.1103/PhysRevE.63.011105  [pdf]  [cond-mat/0003445], [cond-mat/0003446].
  110. L. Acedo, S. B. Yuste, II. Territory covered by N random walkers on stochastic fractals. The percolation aggregate, [cond-mat/0003446].
  111. L. Acedo, S. B. Yuste, I. Territory covered by N random walkers on deterministic fractals. The Sierpinski gasket, [cond-mat/0003445].
  112. S. B. Yuste, A. Santos, M. López de Haro, Direct correlation functions and bridge functions in additive hard-sphere mixtures, Mol. Phys. 98, 439-446 (2000), [cond-mat/0003401].
  113. S. B. Yuste, A. Santos, M. López de Haro, Demixing in binary mixtures of hard hyperspheres, EuroPhys. Lett. 52, 158-164 (2000), [cond-mat/0002354].
  114. S. B. Yuste, L. Acedo, Number of distinct sites visited by N random walkers on a Euclidean lattice, Phys. Rev. E 61, 2340-2347 (2000), [cond-mat/0002362].
  115. S. B. Yuste, L. Acedo, Diffusion of a set of random walkers in Euclidean media. First passage times, J. Phys. A 33, 507-512 (2000) .
  116. S. B. Yuste, L. Acedo, Territory covered by N random walkers, Phys. Rev. E 60, R3459-R3462 (1999).
  117. S. B. Yuste, Reduccionismo: supongamos que la gallina es un objeto esférico…, Cátedra Nova, número 9, 319-327 (junio 1999) [in Spanish].
  118. A. Santos, S. B. Yuste, M. López de Haro, Equation of state of a multicomponent d -dimensional hard-sphere fluid, Mol. Phys. 96, 1-5 (1999), [cond-mat/0204246].
  119. A. Santos, S. B. Yuste, M. López de Haro, Radial distribution functions for a multicomponent system of sticky hard spheres, J. Chem. Phys. 109, 6814-6819 (1998).
  120. J. M. Porrà, S. B. Yuste, Demostration of a conjecture for random walks in d -dimensional Sierpinski fractals, J. Phys. A 31, 6589-6593 (1998).
  121. M. Robles, M. López de Haro, A. Santos y S. B. Yuste, Is there a glass transition for dense hard-sphere systems?, J. Chem. Phys. 108, 1290-1291 (1998).
  122. S. B. Yuste, Order statistics of diffusion on fractals, Phys. Rev. E 57, 6327-6333 (1998).
  123. L. Acedo, S. B. Yuste, Short time regime propagator in fractals,  Phys. Rev. E 57, 5160-5166 (1998).
  124. S. B. Yuste, A. Santos, M. López de Haro, Radial distribution functions in hard-shpere mixtures, Proceedings of the VIII Spanish Meeting on Statistical Physics FisEs’97, J. A. Cuesta and Sánchez A., editors. Anales de Física Monografías num. 4, 169-170. Editorial CIEMAT, Madrid (1998)
  125. S. B. Yuste, L. Acedo Number of distinct sites visited by N random walkers, Proceedings of the VIII Spanish Meeting on Statistical Physics FisEs’97, J. A. Cuesta and Sánchez A., editors. Anales de Física Monografías num. 4, 171-172. Editorial CIEMAT, Madrid (1998).
  126. S B. Yuste, L. Acedo The propagator in a Sierpinski gasket , Proceedings of the VIII Spanish Meeting on Statistical Physics FisEs’97, J. A. Cuesta and Sánchez A., editors. Anales de Física Monografías num. 4, 155-156. Editorial CIEMAT, Madrid (1998).
  127. M. López de Haro, A. Santos, S. B. Yuste, A student-oriented derivation of reliable equation of state for a hard-disc fluid, Eur. J. Phys. 19, 281-6 (1998).
  128. S. B. Yuste, A. Santos, M. López de Haro, Structure of multi-component hard-sphere mixtures J. Chem. Phys. 108, 3683-3693 (1998).
  129. S. B. Yuste, Escape times of N random walkers from a fractal labyrinth, Phys. Rev. Lett. 79, 3565-3568 (1997). DOI:10.1103/PhysRevLett.79.3565  [pdf]
  130. M. López de Haro, A. Santos y S. B. Yuste, Una ecuación de estado simple para un fluido de discos duros, in «La visión molecular de la materia», J. Recamier Angelini and A. Ramírez Solís, eds. (Universidad Autónoma del Estado de Morelos, Mexico, 1997), pp. 104-111 [in Spanish].
  131. S. B. Yuste, K. Lindenberg, Order Statistics for first passage times in one-dimensional diffusion processes J. Stat. Phys. 85, 501-512 (1996). DOI:10.1007/BF02174217 [pdf]. 
  132. S. B. Yuste, A. Santos, M. López de Haro, Structure of hard-sphere metastable fluids, Phys. Rev. E 53, 4820-4826 (1996) .
  133. A. Santos, M. López de Haro, S. B. Yuste, An accurate and simple equation of state for hard disks, J. Chem. Phys. 103, 4622-4625 (1995).
  134. S. B. Yuste, First Passage time, survival probability and propagator on deterministic fractals, J. Phys. A 28, 7027-7038 (1995). DOI:10.1088/0305-4470/28/24/004 [pdf].
  135. S. B. Yuste, A. Santos, A model for the structure of square-well fluids, J. Chem. Phys. 101, 2355-2364 (1994).
  136. S. B. Yuste, A. Santos, Sticky hard spheres beyond the Percus-Yevick approximation, Phys. Rev. E 48, 4599-4604 (1993).
  137. S. B. Yuste, A. Martín Sánchez, Energy levels of the quartic double well using a phase- integral method, Phys. Rev. A 48, 3478-3485 (1993).
  138. S. B. Yuste, A. Santos, Radial distribution function for sticky hard-core fluids, J. Stat. Phys. 72, 703-720 (1993).
  139. S. B. Yuste, A. Santos, A heuristic radial distribution function for hard disks, J. Chem. Phys. 99, 2020-2023 (1993).
  140. S. B. Yuste, Generalized Bohr-Sommerfeld rule for quartic oscillators , Phys. Rev. A 46 , 5367-5374 (1992).
  141. S. B. Yuste, On a new criterion for evaluating the stability of the limit cycles of perturbed Duffing oscillators, Dyn. Stab. Systems 7, 189-197 (1992).
  142. S. B. Yuste, Quasi-pure-cubic oscillators studied with a Krylov Bogoliubov method, J. Sound Vib. 158, 267-275 (1992).
  143. S. B. Yuste, Cubication of nonlinear oscillators using the principle of harmonic balance, Int. J. Non-Linear Mech. 27, 347-356 (1992).
  144. S. B. Yuste, A. Santos, Radial distribution function for hard spheres, Phys. Rev. A 43(10), 5418-23 (1991).
  145. S. B. Yuste, On Duffing oscillators with slowly varying parameters, Int. J. Non-Linear Mech. 26, 671-77 (1991).
  146. S. B. Yuste, Comments on the method of harmonic balance in which Jacobi elliptic functions are used, J. Sound Vib. 145, 381-390 (1991).
  147. S. B. Yuste, J. Díaz Bejarano, Improvement of a Krylov-Bogoliubov method that uses Jacobi elliptic functions, J. Sound Vib. 139 , 151-63 (1990).
  148. S. B. Yuste, A. Martín Sánchez, A weighted mean-square method of «cubication» for non-linear oscillators, J. Sound Vib. 134 ,423-33 (1989).
  149. S. B. Yuste, The Rayleigh method with Jacobi elliptic functions, J. Sound Vib. 133, 180-4 (1989).
  150. S. B. Yuste, A generalized Galerkin method for cubic oscillators,  J. Sound Vib. 130, 332-6 (1989).
  151. S. B. Yuste, J. Díaz Bejarano,  Extension and Improvement to the Krylov-Bogoliubov methods using elliptic functions, Int. J. Control 49, 1127-41 (1989).
  152. J. García-Margallo Guillén, J. Díaz Bejarano, S. B. Yuste, Generalized Fourier series for the study of limit cycles, J. Sound Vib. 125, 13-21 (1988).
  153. S. B. Yuste, J. Díaz Bejarano, Amplitude decay of damped non-linear oscillator studied with Jacobian Elliptic Functions, J. Sound Vib. 114, 33-44 (1987).
  154. S. B. Yuste, J. Díaz Bejarano, Construction of aproximate analytical solutions to a new class of nonlinear oscillator equation, J. Sound Vib. 110, 347-50 (1986).