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Thermodynamics for spatially inhomogeneous magnetization and Young-Gibbs measures

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journal contribution
posted 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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Publication status

  • Published

File Version

  • Published version

Journal

Journal of Statistical Physics

ISSN

0022-4715

Publisher

Springer Verlag

Issue

6

Volume

164

Page range

1318-1353

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2016-08-03

First Open Access (FOA) Date

2016-11-10

First Compliant Deposit (FCD) Date

2016-08-03

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