Nonlinear response in the driven lattice lorentz gas

Physical Review Letters

Volumn 111, Issue 19, 2013, Pages

  Leitmann, Sebastian ^a,b   Franosch, Thomas ^a,b  

^a UNIVERSITY OF INNSBRUCK   (Austria)

^b UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

NON-LINEAR RESPONSE; NONLINEAR DRIFTS; OBSTACLE DENSITIES; POWER LAW RELAXATION; RANDOMLY DISTRIBUTED; STATIONARY STATE; STOCHASTIC SIMULATIONS; TIME-DEPENDENT RESPONSE;

STOCHASTIC MODELS;

IMPURITIES;

EID: 84887119708     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.111.190603     Document Type: Article

References (42)

1. H. Nyquist, Phys. Rev. 32, 110 (1928). PHRVAO 0031-899X 10.1103/PhysRev.32.110
2. L. Onsager, Phys. Rev. 37, 405 (1931). PHRVAO 0031-899X 10.1103/PhysRev.37.405
3. H. B. Callen and T. A. Welton, Phys. Rev. 83, 34 (1951). PHRVAO 0031-899X 10.1103/PhysRev.83.34
4. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II: Nonequilibrium Statistical Mechanics (Springer-Verlag, Berlin, 1991), 2nd ed,.
5. J. R. Dorfman, An Introduction to Chaos in Nonequilibrium Statistical Mechanics (Cambridge University Press, Cambridge, England, 1999).
6. D. J. Evans and G. Morriss, Statistical Mechanics of Nonequilibrium Liquids (Cambridge University Press, Cambridge, England, 2008), 2nd ed,.
7. P. M. V. Résibois and M. de Lenner, Classical Kinetic Theory of Fluids (Wiley, New York, 1977).
8. J. A. McLennan, Introduction to Nonequilibrium Statistical Mechanics (Prentice-Hall, Englewood Cliffs, NJ, 1988).
9. B. J. Alder and T. E. Wainwright, Phys. Rev. Lett. 18, 988 (1967). PRLTAO 0031-9007 10.1103/PhysRevLett.18.988
10. B. J. Alder and T. E. Wainwright, Phys. Rev. A 1, 18 (1970). PLRAAN 0556-2791 10.1103/PhysRevA.1.18
11. J. R. Dorfman and E. G. D. Cohen, Phys. Rev. Lett. 25, 1257 (1970). PRLTAO 0031-9007 10.1103/PhysRevLett.25.1257
12. J. M. J. van Leeuwen and A. Weijland, Physica (Utrecht) 36, 457 (1967). PHYSAG 0031-8914 10.1016/0031-8914(67)90240-6
13. A. Weijland and J. M. J. Van Leeuwen, Physica (Utrecht) 38, 35 (1968). PHYSAG 0031-8914 10.1016/0031-8914(68)90060-8
14. M. H. Ernst and A. Weyland, Phys. Lett. 34A, 39 (1971). PYLAAG 0375-9601 10.1016/0375-9601(71)90987-X
15. T. M. Nieuwenhuizen, P. F. J. van Velthoven, and M. H. Ernst, Phys. Rev. Lett. 57, 2477 (1986). PRLTAO 0031-9007 10.1103/PhysRevLett.57.2477
16. T. M. Nieuwenhuizen, P. F. J. van Velthoven, and M. H. Ernst, J. Phys. A 20, 4001 (1987). JPHAC5 0305-4470 10.1088/0305-4470/20/12/044
17. M. H. Ernst, T. M. Nieuwenhuizen, and P. F. J. van Velthoven, J. Phys. A 20, 5335 (1987). JPHAC5 0305-4470 10.1088/0305-4470/20/15/045
18. D. Frenkel, Phys. Lett. A 121, 385 (1987). PYLAAG 0375-9601 10.1016/0375-9601(87)90482-8
19. R. Klages, Microscopic Chaos, Fractals, and Transport in Nonequilibrium Statistical Mechanics (World Scientific, Singapore, 2007).
20. P. Gaspard, Chaos, Scattering, and Statistical Mechanics (Cambridge University Press, Cambridge, England, 1998).
21. T. Franosch, M. Grimm, M. Belushkin, F. M. Mor, G. Foffi, L. Forró, and S. Jeney, Nature (London) 478, 85 (2011). NATUAS 0028-0836 10.1038/nature10498
22. B. Lukić, S. Jeney, C. Tischer, A. J. Kulik, L. Forró, and E.-L. Florin, Phys. Rev. Lett. 95, 160601 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.160601 (Pubitemid 41777408)
23. T. Franosch, F. Höfling, T. Bauer, and E. Frey, Chem. Phys. 375, 540 (2010). CMPHC2 0301-0104 10.1016/j.chemphys.2010.04.023
24. S. Jeney, B. Lukić, J. A. Kraus, T. Franosch, and L. Forró, Phys. Rev. Lett. 100, 240604 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100. 240604
25. F. Höfling and T. Franosch, Phys. Rev. Lett. 98, 140601 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.140601 (Pubitemid 46557436)
26. F. Höfling and T. Franosch, Rep. Prog. Phys. 76, 046602 (2013). RPPHAG 0034-4885 10.1088/0034-4885/76/4/046602
27. M. Ernst, B. Cichocki, J. Dorfman, J. Sharma, and H. Beijeren, J. Stat. Phys. 18, 237 (1978). JSTPBS 0022-4715 10.1007/BF01018092
28. D. Panja, J. Dorfman, and H. van Beijeren, J. Stat. Phys. 100, 279 (2000). JSTPBS 0022-4715 10.1023/A:1018604115227
29. M. Baiesi, C. Maes, and B. Wynants, Phys. Rev. Lett. 103, 010602 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.010602
30. U. Seifert, Rep. Prog. Phys. 75, 126001 (2012). RPPHAG 0034-4885 10.1088/0034-4885/75/12/126001
31. U. M. B. Marconi, A. Puglisi, L. Rondoni, and A. Vulpiani, Phys. Rep. 461, 111 (2008). PRPLCM 0370-1573 10.1016/j.physrep.2008.02.002
32. D. J. Evans, D. J. Searles, and S. R. Williams, J. Chem. Phys. 128, 014504 (2008). JCPSA6 0021-9606 10.1063/1.2812241
33. J. Haus and K. Kehr, Phys. Rep. 150, 263 (1987). PRPLCM 0370-1573 10.1016/0370-1573(87)90005-6
34. L. E. Ballentine, Quantum Mechanics: A Modern Development (World Scientific, Singapore, 2003).
35. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.111.190603 for details on the propagators, the calculation of the single obstacle t matrix, the velocity response, the terminal velocity, and the stochastic simulations.
36. K. Kawasaki and J. D. Gunton, Phys. Rev. A 8, 2048 (1973). PLRAAN 0556-2791 10.1103/PhysRevA.8.2048
37. C. Dellago, H. v. Beijeren, D. Panja, and J. R. Dorfman, Phys. Rev. E 64, 036217 (2001). PLEEE8 1063-651X 10.1103/PhysRevE.64.036217
38. H. van Beijeren, Rev. Mod. Phys. 54, 195 (1982). RMPHAT 0034-6861 10.1103/RevModPhys.54.195
39. A. Morita, Phys. Rev. A 34, 1499 (1986). PLRAAN 0556-2791 10.1103/PhysRevA.34.1499
40. G. Diezemann, Phys. Rev. E 85, 051502 (2012). PLEEE8 1539-3755 10.1103/PhysRevE.85.051502
41. D. Andrieux and P. Gaspard, J. Stat. Mech. JSMTC6 1742-5468 (2007) P02006. 10.1088/1742-5468/2007/02/P02006
42. M. Baiesi, C. Maes, and B. Wynants, J. Stat. Phys. 137, 1094 (2009). JSTPBS 0022-4715 10.1007/s10955-009-9852-8