Ising Model for the Freezing Transition

Jacobo Troncoso; Claudio A. Cerdeiriña

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arXiv · 2303.17662

Ising Model for the Freezing Transition

Jacobo Troncoso·Claudio A. Cerdeiriña

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Abstract

A spin-1 Ising model incorporating positional order to a standard lattice gas with no attractive interactions is introduced and found to be consistent with all known attributes of the freezing transition of the hard-sphere system. Implementation of attractive interactions in a fairly natural way then allows every aspect of the phase diagram of a simple substance to be reproduced. The \emph{whole} phase behavior of such sort of substances is thus found to sharply manifest the van der Waals picture highlighting the relevance of harsh repulsive forces.

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Jacobo Troncoso, Claudio A. Cerdeiriña. 2023-03-30. Ising Model for the Freezing Transition. https://arxiv.org/abs/2303.17662

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