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On Large Deviations of Interface Motions for Statistical Mechanics Models

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Abstract

We discuss the sharp interface limit of the action functional associated with either the Glauber dynamics for Ising systems with Kac potentials or the Glauber+Kawasaki process. The corresponding limiting functionals, for which we provide explicit formulae of the mobility and transport coefficients, describe the large deviation asymptotics with respect to the mean curvature flow.

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Acknowledgements

We thank C. Landim for discussions on the Glauber+Kawasaki process, and Sect. 3 is our attempt to answer his questions. L. B. acknowledges the financial support of PRIN 20155PAWZB “Large Scale Random Structure”.

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Authors and Affiliations

  1. Dipartimento di Matematica, Sapienza Università di Roma, P.le Aldo Moro 5, 00185, Rome, Italy

    Lorenzo Bertini, Paolo Buttà & Adriano Pisante

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  1. Lorenzo Bertini
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  2. Paolo Buttà
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  3. Adriano Pisante
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Correspondence to Paolo Buttà.

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Communicated by Christian Maes.

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Bertini, L., Buttà, P. & Pisante, A. On Large Deviations of Interface Motions for Statistical Mechanics Models. Ann. Henri Poincaré 20, 1785–1821 (2019). https://doi.org/10.1007/s00023-019-00790-7

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