Statistical Mechanics of the Glass Transition

H. G. E. Hentschel; Valery Ilyin; Nataliya Makedonska; Itamar Procaccia; Nurith Schupper

Statistical Mechanics of the Glass Transition

Statistical Mechanics 2007-05-23 v1 Materials Science

Authors: H. G. E. Hentschel , Valery Ilyin , Nataliya Makedonska , Itamar Procaccia , Nurith Schupper

Abstract

The statistical mechanics of simple glass forming systems in 2 dimensions is worked out. The glass disorder is encoded via a Voronoi tessellation, and the statistical mechanics is performed directly in this encoding. The theory provides, without free parameters, an explanation of the glass transition phenomenology, including the identification of two different temperatures, $T_g$ and $T_k$ , the first associated with jamming and the second associated with the appearance of a quasi-crystal at very low temperatures.

Keywords

glass transition statistical mechanics Voronoi tessellation jamming quasi-crystal two-dimensional systems

Cite

@article{arxiv.cond-mat/0608443,
  title  = {Statistical Mechanics of the Glass Transition},
  author = {H. G. E. Hentschel and Valery Ilyin and Nataliya Makedonska and Itamar Procaccia and Nurith Schupper},
  journal= {arXiv preprint arXiv:cond-mat/0608443},
  year   = {2007}
}

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4 pages, 8 figures

Statistical Mechanics of the Glass Transition

Abstract

Keywords

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