Einstein relation for a tagged particle in simple exclusion processes

Communications in Mathematical Physics

Volumn 229, Issue 2, 2002, Pages 347-367

  Loulakis, Michail ^a  

^a NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035983014     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-002-0692-5     Document Type: Article

References (12)

1. [FGL] Ferrari, P. A., Goldstein, S., Lebowitz, J. L.: Diffusion, mobility and the Einstein relation. In: Statistical Physics and Dynamical Systems. J. Fritz, A. Jaffe, D. Száz, eds, Boston: Birkhäuser, 1985, pp. 405-441
2. [KL] Kipnis, C., Landim, C.: Scaling limits of interacting particle systems. Grundlehren der mathematischen Wissenschaften, Berlin-Heidelberg-New York: Springer-Verlag, 1999
3. [KV] Kipnis, C., Varadhan S. R. S.: Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusion. Commun. Math. Phys. 106, 1-19 (1986)
4. [Li] Liggett, T.: Interacting particle systems. Grundlehren der mathematischen Wissenschaften, New York: Springer-Verlag, 1985
5. [LOVo] Landim, C., Olla, S., Volchan, S. B.: Driven tracer particle in 1 dimensional symmetric simple exclusion. Commun. Math. Phys. 192 (2), 287-307 (1998)
6. [LOVa] Landim, C., Olla, S., Varadhan, S. R. S.: Finite dimensional approximation of the self-diffusion coefficient for the exclusion process. To appear in Ann. Prob. (2002)
7. [LR] Lebowitz, J. L., Rost, H.: The Einstein relation for the displacement of a test particle in a random environment. Stoch. Proc. Appl. 54, 183-196 (1994)
8. [LuY] Lu, S. L., Yau, H. T.: Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics. Commun. Math. Phys. 156, 399-433 (1993)
9. [Sa] Saada, E.: A limit theorem for the position of a tagged particle in a simple exclusion process. Ann. Probab. 15, 375-381 (1987)
10. [SVY] Sethuraman, S.,Yau, H. T., Varadhan, S. R. S.: Diffusive limit of a tagged particle in asymmetric simple exclusion processes. Comm. Pure Appl. Math. 53, 972-1006 (2000)
11. [Sp] Spitzer, F.: Principles of Random Walk. New York: D.Van Nostrand, 1964
12. [V] Varadhan, S. R. S.: Self diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion. Ann. Inst. H. Poincaré, Probabilités 31, 273-285 (1995)