Journal Article

FZJ-2021-06112

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Topology and Phase Transitions: A First Analytical Step towards the Definition of Sufficient Conditions

Di Cairano, L.FZJ* ; Gori, M.Extern* ; Pettini, M. (Corresponding author)Extern*

2021
MDPI Basel

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Please use a persistent id in citations: http://hdl.handle.net/2128/30613  doi:10.3390/e23111414

Abstract: Different 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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Contributing Institute(s):

1. Computational Biomedicine (IAS-5)
2. Computational Biomedicine (INM-9)

Research Program(s):

1. 899 - ohne Topic (POF4-899) (POF4-899)

Appears in the scientific report 2021

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