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Interface in a one-dimensional Ising spin system

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  • Bodineau, Thierry

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.

Suggested Citation

  • Bodineau, Thierry, 1996. "Interface in a one-dimensional Ising spin system," Stochastic Processes and their Applications, Elsevier, vol. 61(1), pages 1-23, January.
    • Handle: RePEc:eee:spapps:v:61:y:1996:i:1:p:1-23
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