Heriot-Watt Mathematics Report Series
HWM97-4, September 96
Condensation in the Backgammon Model
P Bialas, Z Burda and D Johnston
Abstract
We analyse the properties of a very simple balls-in-boxes'' model
which can exhibit a phase transition between a fluid and a condensed
phase,
similar to behaviour encountered in models of random geometries
in one, two and four dimensions.
This model can be viewed as a generalisation of the backgammon model
introduced
by Ritort as an example of glassy behaviour without disorder.
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