On the Einstein relation for a mechanical system

Probability Theory and Related Fields

Volumn 107, Issue 4, 1997, Pages 493-515

  Boldrighini, C ^a   Soloveitchik, M ^b  

^a UNIVERSITY OF CAMERINO   (Italy)

^b UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031116508     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050095     Document Type: Article

References (11)

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2. Boldrighini, C., Soloveitchik, M.R.: Drift and diffusion for a mechanical system. Probab. Theory Relat. Fields 103, 349-379 (1995)
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5. Dürr, D., Naroditzki, V., Zanghi, N.: On the motion of an impurity in an infinite harmonic crystal. In: S. Albeverio, G. Casati, D. Merlini, Eds. Stochastic processes in classical and quantum systems. Proc. 1st Ascona-Como International Conference, Ascona, Switzerland, 1985 (Lecture Notes in Physics 262, p. 187 (1989)
6. Einstein, A.: Die von der molekularkinetischen Thecrie der Wärme geforderte Bewegung von in ruhenden Flüssigkeit suspendierten Teilchen. Ann. Physik 17, 549-560 (1905)
7. Einstein, A.: Zur Theorie der Brownschen Bewegung, Ann. Physik 19, 371-381 (1906)
8. Ferrari, P., Goldstein, S., Lebowitz, J.L.: Diffusion, mobility and the Einstein relation. In: J. Fritz. A. Jaffe, D. Szász, eds., Statistical physics and dynamical systems, rigorous results, pp. 405-442, Basel: Birkhäuser 1985
9. Lebowitz, J.L., Rost, H.: The Einstein relation for the displacement of a test particle in a random environment. Preprint 94-15 (SFB 359), Heidelberg University, 1994
10. Nummelin, E.: General irreducible Markov chains and nonnegative operators. Cambridge: Cambridge Univ. Press 1989
11. Saulis, L., Statulevicius, V.A.: Limit theorems for large deviations. Dordrecht: Kluwer Academ. Publishers 1991