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000904542 1001_ $$0P:(DE-Juel1)176760$$aDi Cairano, Loris$$b0$$ufzj
000904542 245__ $$aTopology and Phase Transitions: A First Analytical Step towards the Definition of Sufficient Conditions
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000904542 520__ $$aDifferent arguments led to supposing that the deep origin of phase transitions has to be identified with suitable topological changes of potential related submanifolds of configuration space of a physical system. An important step forward for this approach was achieved with two theorems stating that, for a wide class of physical systems, phase transitions should necessarily stem from topological changes of energy level submanifolds of the phase space. However, the sufficiency conditions are still a wide open question. In this study, a first important step forward was performed in this direction; in fact, a differential equation was worked out which describes how entropy varies as a function of total energy, and this variation is driven by the total energy dependence of a topology-related quantity of the relevant submanifolds of the phase space. Hence, general conditions can be in principle defined for topology-driven loss of differentiability of the entropy.
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000904542 7001_ $$0P:(DE-HGF)0$$aGori, Matteo$$b1
000904542 7001_ $$0P:(DE-HGF)0$$aPettini, Marco$$b2$$eCorresponding author
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