Thermodynamics for spatially inhomogeneous magnetization and Young-Gibbs measures

Montino, Alessandro, Soprano-Loto, Nahuel and Tsagkarogiannis, Dimitrios (2016) Thermodynamics for spatially inhomogeneous magnetization and Young-Gibbs measures. Journal of Statistical Physics, 164 (6). pp. 1318-1353. ISSN 0022-4715

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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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0273 Probabilities. Mathematical statistics
Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems
Depositing User: Dimitrios Tsagkarogiannis
Date Deposited: 03 Aug 2016 09:00
Last Modified: 11 Sep 2017 05:47

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