Persistent memory of diffusing particles

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 80, Issue 6, 2009, Pages

  Suciu, N ^a,b   Vamos C ^b   Radu, F A ^c,d   Vereecken, H ^e   Knabner, P ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^b ACADEMY OF ROMANIAN SCIENTISTS   (Romania)

^c HELMHOLTZ CENTRE FOR ENVIRONMENTAL RESEARCH UFZ   (Germany)

^d FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^e FORSCHUNGSZENTRUM JÜLICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ADVECTION - DIFFUSION; DIFFUSING PARTICLES; DIFFUSIVE BEHAVIOR; GLOBAL RANDOM WALK; INITIAL CONDITIONS; INITIAL POSITION; MEMORY TERM; NUMERICAL SIMULATION; RANDOM INITIAL CONDITIONS; RANDOM VELOCITY FIELDS; VARIABLE COEFFICIENTS;

COMPUTER SIMULATION;

DIFFUSION;

EID: 77149145867     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.061134     Document Type: Article

References (39)

1. C. W. Gardiner, Stochastic Methods: A Handbook for the Natural and Social Sciences (Springer, Berlin, 2009).
2. R. Zwanzig, Phys. Rev. 124, 983 (1961). 10.1103/PhysRev.124.983
3. A. V. Mokshin, R. M. Yulmetyev, and P. Hänggi, Phys. Rev. Lett. 95, 200601 (2005). 10.1103/PhysRevLett.95.200601
4. R. Balescu, Plasma Phys. Controlled Fusion 42, B1 (2000). 10.1088/0741-3335/42/12B/301
5. R. Morgado, F. A. Oliveira, G. G. Batrouni, and A. Hansen, Phys. Rev. Lett. 89, 100601 (2002). 10.1103/PhysRevLett.89.100601
6. F. Piazza and S. Lepri, Phys. Rev. B 79, 094306 (2009). 10.1103/PhysRevB.79.094306
7. M. A. Despósito and A. D. Viñales, Phys. Rev. E 77, 031123 (2008). 10.1103/PhysRevE.77.031123
8. F. N. C. Paraan, M. P. Solon, and J. P. Esguerra, Phys. Rev. E 77, 022101 (2008). 10.1103/PhysRevE.77.022101
9. A. J. Majda and P. R. Kramer, Phys. Rep. 314, 237 (1999). 10.1016/S0370-1573(98)00083-0
10. C. Aslangul, J.-Ph. Bouchaud, A. Georges, N. Pottier, and D. Saint-James, J. Stat. Phys. 55, 461 (1989). 10.1007/BF01042612
11. J. Eberhard, N. Suciu, and C. Vamoş, J. Phys. A: Math. Theor. 40, 597 (2007). 10.1088/1751-8113/40/4/002
12. J. L. Doob, Stochastic Processes (Wiley, New York, 1990).
13. P. E. Kloeden and E. Platen, Numerical Solutions of Stochastic Differential Equations (Springer, Berlin, 1999).
14. J.-P. Bouchaud, A. Georges, J. Koplik, A. Provata, and S. Redner, Phys. Rev. Lett. 64, 2503 (1990). 10.1103/PhysRevLett.64.2503
15. J.-P. Bouchaud and A. Georges, Phys. Rep. 195, 127 (1990). 10.1016/0370-1573(90)90099-N
16. P. Castiglione, J. Phys. A 33, 1975 (2000). 10.1088/0305-4470/33/10/302
17. C. L. Zirbel, Adv. Appl. Probab. 33, 810 (2001). 10.1239/aap/1011994031
18. N. Suciu, C. Vamoş, H. Vereecken, K. Sabelfeld, and P. Knabner, Revue d'Analyse Numérique et de Théorie de l'Approximation 37, 221 (2008).
19. A. Fannjiang and T. Komorowski, Ann. Appl. Probab. 9, 591 (1999). 10.1214/aoap/1029962805
20. P. K. Kitanidis, J. Hydrol. 102, 453 (1988). 10.1016/0022-1694(88)90111-4
21. N. Suciu, C. Vamoş, H. Vereecken, K. Sabelfeld, and P. Knabner, Mathematics Department, Friedrich-Alexander University Erlangen-Nuremberg, Preprint No. 324, 2008, url: http://www.am.uni-erlangen.de/en/prepreprints.2000. html
22. H. Kesten and G. C. Papanicolaou, Commun. Math. Phys. 65, 97 (1979). 10.1007/BF01225144
23. N. Suciu, C. Vamoş, and J. Eberhard, Water Resour. Res. 42, W11504 (2006). 10.1029/2005WR004714
24. N. Suciu (unpublished).
25. N. Suciu, C. Vamoş, H. Vereecken, K. Sabelfeld, and P. Knabner, Water Resour. Res. 44, W08501 (2008). 10.1029/2007WR006740
26. G. Sposito and G. Dagan, Water Resour. Res. 30, 585 (1994). 10.1029/93WR02947
27. C. Vamoş, S. Soltuz, and M. Crcciun, e-print arXiv:0709.2963.
28. N. Suciu and C. Vamoş, in Monte Carlo and Quasi-Monte Carlo Methods 2008, edited by, P. L'Ecuyer, and, A. B. Owen, (Springer, Heidelberg, to be published).
29. C. L. Winter, C. M. Newman, and S. P. Neuman, SIAM J. Appl. Math. 44, 411 (1984). 10.1137/0144027
30. M. G. Trefry, F. P. Ruan, and D. McLaughlin, Water Resour. Res. 39, 1063 (2003). 10.1029/2001WR001101
31. A. Compte and M. O. Cáceres, Phys. Rev. Lett. 81, 3140 (1998). 10.1103/PhysRevLett.81.3140
32. C. Vamoş, N. Suciu, and H. Vereecken, J. Comput. Phys. 186, 527 (2003). 10.1016/S0021-9991(03)00073-1
33. N. Suciu, C. Vamoş, J. Vanderborght, H. Hardelauf, and H. Vereecken, Water Resour. Res. 42, W04409 (2006). 10.1029/2005WR004546
34. P. Le Doussal and J. Machta, Phys. Rev. B 40, 9427 (1989). 10.1103/PhysRevB.40.9427
35. N. Suciu and C. Vamoş, Water Resour. Res. 43, W12601 (2007). 10.1029/2007WR005946
36. A. M. Yaglom, Correlation Theory of Stationary and Related Random Functions, Basic Results Vol. I (Springer, New York, 1987).
37. C. Vamoş, N. Suciu, H. Vereecken, J. Vanderborht, and O. Nitzsche, Forschungszentrum Jülich Report No. ICG-IV.00501, 2001 (unpublished).
38. S. C. Ying, I. Vattulainen, J. Merikoski, T. Hjelt, and T. Ala-Nissila, Phys. Rev. B 58, 2170 (1998). 10.1103/PhysRevB.58.2170
39. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981).