Abstract
Renormalization in space and time of a system of diffusions interacting by a pair potential at equilibrium is carried out under an additional hypothesis. The result is the identification of the transport coefficient by a simple formula in which the pair potential enters only via the first two derivatives of its partition function.
Unterstützt von der Deutschen Forschungsgemeinschaft (SFB 123) und NATO-Grant Nr. 040.82
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Literaturverzeichnis
C.Boldrighini, R.L.Dobrushin, Yu.A.Sukhov: The one-dimensional hard rod caricature on hydrodynamics. Preprint 1982.
C.Boldrighini, A.Pellegrinotti, L.Triolo: Hydrodynamics of the one-dimensional harmonic chain. Preprint 1981.
Th. Brox: Grenzverteilungen für Gibbsisch erzeugte Punktprozesse mit schwacher Wechselwirkung. Diplomarbeit. Heidelberg 1977.
R. Holley, D. Stroock: Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions. Publications Res. Inst. Math. Sciences 14, 741–788 (1978).
A. Galves, C. Kipnis, C. Marchioro, E. Presutti: Nonequilibrium measures which exhibit a temperature gradient: study of a model. Commun. math. Physics 81, 127–147 (1981).
R. Lang: Unendlichdimensionale Wienerprozesse in Wechselwirkung I.II. Z Wahrscheinlichkeitstheorie verw. Geb. 38, 55–72 (1977); 39, 277–299(1977).
F. Spitzer: Recurrent random walk of an infinite particle system. Transactions Am. math. Soc. 198, 191–199 (1974).
H.Spohn: Large scale behavior of equilibrium time correlation functions for some stochastic Ising models. Preprint 1982.
A.Galves, C.Kipnis, H.Spohn: Fluctuation theory for the symmetric simple exclusion process. Preprint 1982.
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© 1983 Springer-Verlag
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Rost, H. (1983). Hydrodynamik gekoppelter diffusionen: Fluktuationen im gleichgewicht. In: Blanchard, P., Streit, L. (eds) Dynamics and Processes. Lecture Notes in Mathematics, vol 1031. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072113
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DOI: https://doi.org/10.1007/BFb0072113
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