Statistical Mechanics of a Two-Dimensional System with Long Range Interaction

Details Statistical Mechanics of a Two-Dimensional System with Long Range Interaction Statistical Mechanics of a Two-Dimensional System with Long Range Interaction

1997-11-06

arxiv.org/abs/cond-mat/9711057v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 8 figures

Scientific paper

10.1088/0305-4470/31/17/006

We analyse the statistical physics of a two dimensional lattice based gas with long range interactions. The particles interact in a way analogous to Queens on a chess board. The long range nature of the interaction gives the mathematics of the problem a simple geometric structure which simplifies both the analytic and numerical study of the system. We present some analytic calculations for the statics of the problem and also we perform Monte Carlo simulations which exhibit a dynamical transition between a high temperature liquid regime and a low temperature glassy regime exhibiting aging in the two time correlation functions.

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