AI Article Synopsis
- The text describes an approach to approximate the properties of glasses in low-dimensional systems using expansions around infinite-dimensional solutions.
- The method relies on input data regarding the thermodynamic and structural properties of the corresponding equilibrium liquid to derive glass properties.
- The scheme is analogous to the Mode Coupling approximation and achieves exactness in infinite dimensions, with potential for systematic improvement through additional terms in the expansion.
Article 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→∞, and it can be improved systematically by adding more terms in the expansion.
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| http://dx.doi.org/10.1103/PhysRevE.93.012609 | DOI Listing |
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