Statistical mechanics of glass transition in lattice molecule models

Details Statistical mechanics of glass transition in lattice molecule models Statistical mechanics of glass transition in lattice molecule models

2011-05-24

arxiv.org/abs/1105.4695v1

J. Phys. A: Math. Theor. 45 035002/1-16 (2012)

Physics

Condensed Matter

Statistical Mechanics

18 pages, 8 figures

Scientific paper

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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