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cond-mat.stat-mech2007
Statistical Physics and Dynamical Systems: Models of Phase Transitions
Ajay Patwardhan
This paper explores the connection between dynamical system properties and statistical physics of ensembles of such systems. Simple models are used to give novel phase transitions;…
cond-mat.stat-mech2005
Statistical Mechanics of Dynamical Systems With Topological Phase Transitions
Ajay Patwardhan
Dynamical system properties give rise to effects in Statistical Mechanics. Topological index changes can be the basis for phase transitions. The Euler characteristic is a versatile…
cond-mat.stat-mech2004
Partition Functions for Statistical Mechanics With MicroPartitions and Phase Transitions
Ajay Patwardhan
The fundamentals of Statistical Mechanics require a fresh definition in the context of the developments in Classical Mechanics of integrable and chaotic systems. This is done with…