Random diffusion model

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

Volumn 78, Issue 3, 2008, Pages

  Mazenko, Gene F ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; DIFFUSION; DYNAMICS; SEMICONDUCTOR DOPING;

CONSERVATION LAWS; CONTINUUM MODELING; CRITICAL COUPLING; CRITICAL PROPERTIES; DENSITY-DEPENDENT; DIFFUSION CO-EFFICIENT; DIFFUSION CONSTANTS; DIFFUSIVE DYNAMICS; DIRECT APPROACH; EFFECTIVE HAMILTONIAN; ERGODIC; FOURIER SPACES; FOURTH ORDER; HIGHER-ORDER; KAWASAKI; MODE-COUPLING THEORY; NON-ERGODIC TRANSITION; NON-LINEAR COUPLINGS; PERTURBATION THEORY; POWER LAWS; RANDOM DIFFUSION; SCALAR DENSITY; TIME DECAY; WAVE NUMBERS;

PERTURBATION TECHNIQUES;

EID: 52649130798     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.031123     Document Type: Article

References (35)

1. W. Götze and L. Sjögren, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/55/3/001 55, 241 (1992);
2. S. Das, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76.785 76, 785 (2004).
3. B. Cichocki and W. Hess, Physica A PHYADX 0378-4371 10.1016/0378-4371(87) 90176-2 141, 475 (1987).
4. K. Kawasaki, Physica A PHYADX 0378-4371 10.1016/0378-4371(95)00012-V 215, 61 (1995).
5. There is some experimental evidence for a prepeak. But the connection to the prepeak found here is tenuous. See D. Morineau, C. Alba-Simionesco, and M.-C. Bellisent-Funel, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1998-00339- 6 43, 195 (1998). In a companion paper we show in the case of a realistic structure factor that the prepeak is consumed by the usual first structure factor peak.
6. G. F. Mazenko, Nonequilibrium Statistical Mechanics (Wiley, Berlin, 2006).
7. G. Biroli and J.-P. Bouchaud, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10044-6 67, 21 (2004).
8. S. P. Das, G. F. Mazenko, S. Ramaswamy, and J. J. Toner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.54.118 54, 118 (1985).
9. S. P. Das and G. F. Mazenko, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.34.2265 34, 2265 (1986).
10. R. Schmitz, J. W. Dufty, and P. De, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.2066 71, 2066 (1993).
11. M. E. Cates and S. Ramaswamy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.135701 96, 135701 (2006).
12. S. P. Das and G. F. Mazenko, e-print arXiv:0801.1727.
13. D. S. Dean, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/29/24/001 29, L613 (1996).
14. K. Kawasaki and S. Miyazima, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/s002570050396 103, 423 (1997).
15. K. Miyazaki and D. R. Reichman, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/20/L03 38, L343 (2005).
16. C. De Dominicis and L. Peliti, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.18.353 18, 353 (1978).
17. A. Andreanov, G. Biroli, and A. Lefevre, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2006).
18. B. Kim and K. Kawasaki, e-print arXiv:cond-mat/0610588.
19. A. Crisanti, Nucl. Phys. B NUPBBO 0550-3213 10.1016/j.nuclphysb.2007.11. 039 796, [FS], 425 (2008).
20. G. Mazenko, e-print arXiv:cond-mat/0609591.
21. G. H. Fredrickson and H. C. Andersen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.53.1244 53, 1244 (1984);
22. F. Ritort and P. Sollich, Adv. Phys. ADPHAH 0001-8732 10.1080/0001873031000093582 52, 219 (2003).
23. J. P. Garrahan and D. Chandler, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.1233719100 100, 9710 (2003);
24. J. P. Garrahan and D. Chandler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.035704 89, 035704 (2002).
25. S. Whitelam, L. Berthier, and J. P. Garrahan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.185705 92, 185705 (2004).
26. S. Whitelam, L. Berthier, and J. P. Garrahan, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.026128 71, 026128 (2005).
27. R. Jack, P. Mayer, and P. Sollich, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2006).
28. G. F. Mazenko, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.9.360 9, 360 (1974).
29. G. F. Mazenko, S. Ramaswamy, and J. Toner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.49.51 49, 51 (1982);
30. G. F. Mazenko, S. Ramaswamy, and J. Toner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.28.1618 28, 1618 (1983).
31. H. C. Andersen, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp0258661 106, 8326 (2002);
32. H. C. Andersen, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp034753u 107, 10226 (2003);
33. H. C. Andersen, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp034754m 107, 10234 (2003).
34. E. Leutheusser, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.29.2765 29, 2765 (1984).
35. H. B. Dwight, Tables of Integrals and Other Mathematical Data, 4th ed. (MacMillion, New York, 1961).