Interface in a one-dimensional Ising spin system

Thierry Bodineau

Stochastic Processes and their Applications, 1996, vol. 61, issue 1, 1-23

Abstract: In this paper we will be studying the interface in a one-dimensional Ising spin system with a ferromagnetic Kac potential [gamma]J([gamma]r). Below the critical temperature, when [gamma] tends to 0, two distinct thermodynamic phases with different magnetizations appear. We will see that the local magnetization converges to one of these two values. On intervals of length [gamma]-k the local magnetization will stay almost constant, but on longer intervals interfaces take place between different phases. We prove first a large deviation principle and apply Friedlin and Wentzell theory to estimate the position where the first interface appears.

Keywords: Gibbs; fields; Interfaces; Large; deviations (search for similar items in EconPapers)
Date: 1996
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