Abstract
We consider models of interface dynamics derived from Ising systems with Kac interactions and we prove the validity of the “Einstein relation”θ=μσ, whereθ is the proportionality coefficient in the motion by curvature,μ is the interface mobility, andσ is the surface tension.
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M. Cassandro, E. Orlandi, and E. Presutti, Interfaces and typical Gibbs configurations for one dimensional Kac potentials, CARR report No. 27/91 (1991).
A. De Masi, E. Orlandi, E. Presutti, and L. Triolo, Glauber evolution with Kac potentials: I. Macroscopic equations and fluctuation theory, CARR report No. 9/92 (1992).
A. De Masi, E. Orlandi, E. Presutti, and L. Triolo, Motion by curvature by scaling non local evolution equations, CARR report No. 3/93 (1993).
T. Eisele and R. S. Ellis, Symmetry breaking and random walks for magnetic systems on a circle,Z. Wahr. Verw. Gebiete 63:297–348 (1983).
J. Lebowitz and O. Penrose, Rigorous treatment of the van der Waals Maxwell theory of the liquid vapour transitions,J. Math. Phys. 7:98 (1966).
H. Spohn, Interface motion in models with stochastic dynamics, Preprint (July 1992).
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Buttà, P. On the validity of an einstein relation in models of interface dynamics. J Stat Phys 72, 1401–1406 (1993). https://doi.org/10.1007/BF01048193
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DOI: https://doi.org/10.1007/BF01048193