Pico-canonical ensembles: a theoretical description of metastable states

Dhar, Deepak (2002) Pico-canonical ensembles: a theoretical description of metastable states Physica A: Statistical Mechanics and its Applications, 315 (1-2). pp. 5-13. ISSN 0378-4371

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03784...

Related URL: http://dx.doi.org/10.1016/S0378-4371(02)01221-9


We define restricted ensembles, called pico-canonical ensembles, for a statistical-mechanical description of the metastable and glassy phases. In this approach, time evolution is Markovian, with temperature dependent rates. Below a particular glass temperature, the system is strongly non-ergodic, and the phase space breaks up into a large number of mutually disconnected sectors. Averages are calculated over states within one such sector, and then averaged over sectors. As a soluble example, we calculate these explicitly for a one-dimensional lattice gas with nearest-neighbor couplings.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Glasses; Metastable States; Ergodicity Breaking
ID Code:9284
Deposited On:29 Oct 2010 12:04
Last Modified:16 May 2016 19:06

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