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arXiv · 1105.4695

Statistical mechanics of glass transition in lattice molecule models

Shin-ichi Sasa
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Abstract

Lattice molecule models are proposed in order to study statistical mechanics of glass transition in finite dimensions. Molecules in the models are represented by hard Wang tiles and their density is controlled by a chemical potential. An infinite series of irregular ground states are constructed theoretically. By defining a glass order parameter as a collection of the overlap with each ground state, a thermodynamic transition to a glass phase is found in a stratified Wang tiles model on a cubic lattice.

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Shin-ichi Sasa. 2011-05-24. Statistical mechanics of glass transition in lattice molecule models. https://doi.org/10.1088/1751-8113/45/3/035002

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