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On the validity of an einstein relation in models of interface dynamics

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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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References

  1. M. Cassandro, E. Orlandi, and E. Presutti, Interfaces and typical Gibbs configurations for one dimensional Kac potentials, CARR report No. 27/91 (1991).

  2. 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).

  3. 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).

  4. 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).

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  5. 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).

    Google Scholar 

  6. 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

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