Restricted equilibrium ensembles: exact equation of state of a model glass

Dhar, Deepak ; Lebowitz, Joel L. (2010) Restricted equilibrium ensembles: exact equation of state of a model glass EPL: Europhysics Letters, 92 (2). p. 20008. ISSN 0295-5075

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Official URL: http://iopscience.iop.org/0295-5075/92/2/20008

Related URL: http://dx.doi.org/10.1209/0295-5075/92/20008

Abstract

We investigate the thermodynamic properties of a toy model of glasses: a hard-core lattice gas with nearest-neighbor interaction in one dimension. The time evolution is Markovian, with nearest-neighbor and next-nearest-neighbor hoppings, and the transition rates are assumed to satisfy the detailed balance condition, but the system is non-ergodic below a glass temperature. Below this temperature, the system is in restricted thermal equilibrium, where both the number of sectors, and the number of accessible states within a sector grow exponentially with the size of the system. Using partition functions that sum only over dynamically accessible states within a sector, and then taking a quenched average over the sectors, we determine the exact equation of state of this system.

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ID Code:82199
Deposited On:10 Feb 2012 04:18
Last Modified:10 Feb 2012 04:18

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