Thermodynamics for spatially inhomogeneous magnetization and Young-Gibbs measures
journal contributionposted on 2023-06-13, 14:37 authored by Alessandro Montino, Nahuel Soprano-Loto, Dimitrios Tsagkarogiannis
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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JournalJournal of Statistical Physics
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