English

Quantitative approximation schemes for glasses

Disordered Systems and Neural Networks 2016-01-25 v2 Soft Condensed Matter Statistical Mechanics

Abstract

By means of a systematic expansion around the infinite-dimensional solution, we obtain an approximation scheme to compute properties of glasses in low dimensions. The resulting equations take as input the thermodynamic and structural properties of the equilibrium liquid, and from this they allow one to compute properties of the glass. They are therefore similar in spirit to the Mode-Coupling approximation scheme. Our scheme becomes exact, by construction, in dimension dd\to\infty and it can be improved systematically by adding more terms in the expansion.

Keywords

Cite

@article{arxiv.1510.03808,
  title  = {Quantitative approximation schemes for glasses},
  author = {Matthieu Mangeat and Francesco Zamponi},
  journal= {arXiv preprint arXiv:1510.03808},
  year   = {2016}
}

Comments

22 pages, 4 figures

R2 v1 2026-06-22T11:19:25.133Z