| Issue |
EPL
Volume 92, Number 2, October 2010
|
|
|---|---|---|
| Article Number | 20008 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/92/20008 | |
| Published online | 17 November 2010 | |
Restricted equilibrium ensembles: Exact equation of state of a model glass
1
Department of Theoretical Physics, Tata Institute of Fundamental Research - Homi Bhabha Road, Mumbai-400005, India
2
Departments of Mathematics and Physics, Rutgers University - Piscataway, NJ 08854, USA
Received:
18
August
2010
Accepted:
11
October
2010
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.
PACS: 05.70.Ce – Thermodynamic functions and equations of state / 64.60.My – Metastable phases / 02.50.Ga – Markov processes
© EPLA, 2010
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