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 d -> infinity, and it can be improved systematically by adding more terms in the expansion.

Quantitative approximation schemes for glasses / Mangeat, M; Zamponi, F. - In: PHYSICAL REVIEW. E. - ISSN 2470-0045. - 93:1(2016). [10.1103/PhysRevE.93.012609]

Quantitative approximation schemes for glasses

Zamponi F
2016

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 d -> infinity, and it can be improved systematically by adding more terms in the expansion.
2016
Glass transition; fluctuations; statistical mechanics
01 Pubblicazione su rivista::01a Articolo in rivista
Quantitative approximation schemes for glasses / Mangeat, M; Zamponi, F. - In: PHYSICAL REVIEW. E. - ISSN 2470-0045. - 93:1(2016). [10.1103/PhysRevE.93.012609]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1693831
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