Memory effects in nonlinear transport: Kinetic equations and ratchet devices

Physica A: Statistical Mechanics and its Applications

Volumn 326, Issue 3-4, 2003, Pages 384-399

  Santamaria Holek I ^a   Rubi J M ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

Fokker Planck equation; Langevin equation; Memory effects; Nonlinear transport; Ratchet devices

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); DIFFUSION; ENTROPY; KINETIC THEORY; NONLINEAR SYSTEMS; RANDOM PROCESSES; THERMODYNAMICS;

MEMORY EFFECTS;

STATISTICAL MECHANICS;

EID: 0043095448     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(03)00269-3     Document Type: Article

References (38)

1. Zwanzig R. Nonequilibrium Statistical Mechanics. 2001;University Press, Oxford.
2. Ibuki K., Ueno M. J. Chem. Phys. 106:1997;10 113.
3. Hanggi P. Rev. Mod. Phys. 62:1990;251.
4. Reguera D., Rubí J.M. Phys. Rev. E. 64:2001;061 106.
5. Reimann P. Phys. Rep. 361:2002;57.
6. Ibarra-Bracamontes L., Romero-Rochín V. Phys. Rev. E. 56:1997;4048.
7. Wang K.G., Tokuyama M. Physica A. 265:1999;341.
8. Morgado R., Oliveira F.A., Batrouni G.G., Hansen A. Phys. Rev. Lett. 89:2002;100 601.
9. Caspi A., Granek R., Elbaum M. Phys. Rev. E. 66:2002;011 916.
10. M. Kac, J. Logan, in: E.W. Montroll, J.L. Lebowitz (Eds.), Fluctuation Phenomena, North-Holland, Amsterdam, 1987.
11. Mori H. Prog. Theor. Phys. 33:1965;423.
12. Zwanzig R. Phys. Rev. 124:1961;983.
13. Tokuyama M., Mori H. Prog. Theor. Phys. 55:1976;411.
14. Okuyama S., Oxtoby D.W. J. Chem. Phys. 84:1986;5824 Okuyama S., Oxtoby D.W. J. Chem. Phys. 84:1986;5830.
15. Okuyama S., Oxtoby D.W. J. Chem. Phys. 84:1986;5824 Okuyama S., Oxtoby D.W. J. Chem. Phys. 84:1986;5830.
16. Adelman S.A. J. Chem. Phys. 64:1976;124.
17. Cukier R.I., Shuler K.E. J. Chem. Phys. 57:1972;302.
18. Hanggi P., Jung P. Adv. Chem. Phys. 89:1995;239.
19. Sokolov I.M. Phys. Rev. E. 66:2002;041 101.
20. van Kampen N.G. Stochastic Processes in Physics and Chemistry. 1992;North-Holland, Amsterdam.
21. Renger T., Marcus R.A. J. Chem. Phys. 116:2002;9997.
22. Rubí J.M., Mazur P. Physica A. 250:1998;253.
23. J.M. Rubí, unpublished; Mazur P. Physica A. 274:1999;491.
24. J.M. Rubí, unpublished; Mazur P. Physica A. 274:1999;491.
25. Rubí J.M., Pérez-Madrid A. Physica A. 264:1999;492.
26. Rubí J.M., Mazur P. Physica A. 276:2000;477.
27. Vilar J.M.G., Rubí J.M. Proc. Natl. Acad. Sci. 98:2001;11 081.
28. Pérez-Madrid A., Rubí J.M., Mazur P. Physica A. 212:1994;231.
29. Santamaría-Holek I., Reguera D., Rubí J.M. Phys. Rev. E. 63:2001;051 106.
30. Pagonabarraga I., Pérez-Madrid A., Rubí J.M. Physica A. 237:1997;205.
31. D. Reguera, J.M. Rubí, L.L. Bonilla, in: V. Capasso (Ed.), Mathematical Modeling for Polymer Processing, Springer, Berlin, 2002.
32. de Groot S.R., Mazur P. Non-equilibrium Thermodynamics. 1984;Dover, New York.
33. Dufty J.W., Rubí J.M. Phys. Rev. A. 36:1987;222.
34. van Kampen N.G. Phys. Lett. A. 50:1974;237.
35. Wilemski G. J. Stat. Phys. 14:1976;153.
36. Bixon M., Zwanzig R. Phys. Rev. 187:1969;267.
37. Mazur P. Phys. Rev. A. 45:1992;8957.
38. Zhang K.J., Briggs M.E., Gammon R.W., Sengers J.V. J. Chem. Phys. 111:1999;2270.