Large Deviations in the Spherical Model: The Rate Functions

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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19 pages, 4 figures

Scientific paper

We study the spherical model of a ferromagnet in $d$-dimensional cubes $\Omega_n$ of volume $|\Omega_n|=n^d$ and investigate large deviations of the magnetization of various domains $D_k\subset \Omega_n$. We focus our attention on the low-temperature regime, $T

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