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arXiv · 1511.02118

Thermodynamics for spatially inhomogeneous magnetization and Young-Gibbs measures

A. Montino·N. Soprano-Loto·D. Tsagkarogiannis
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Abstract

We derive thermodynamic functionals for spatially inhomogeneous magnetization on a torus in the context of an Ising spin lattice model. We calculate the corresponding free energy and pressure (by applying an appropriate external field using a quadratic Kac potential) and show that they are related via a modified Legendre transform. The local properties of the infinite volume Gibbs measure, related to whether a macroscopic configuration is realized as a homogeneous state or as a mixture of pure states, are also studied by constructing the corresponding Young-Gibbs measures.

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A. Montino, N. Soprano-Loto, D. Tsagkarogiannis. 2016-05-23. Thermodynamics for spatially inhomogeneous magnetization and Young-Gibbs measures. https://doi.org/10.1007/s10955-016-1592-y

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