TY  - JOUR
AU  - Di Cairano, Loris
AU  - Gori, Matteo
AU  - Pettini, Marco
TI  - Topology and Phase Transitions: A First Analytical Step towards the Definition of Sufficient Conditions
JO  - Entropy
VL  - 23
IS  - 11
SN  - 1099-4300
CY  - Basel
PB  - MDPI
M1  - FZJ-2021-06112
SP  - 1414 -
PY  - 2021
AB  - 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.
LB  - PUB:(DE-HGF)16
C6  - pmid:34828112
UR  - <Go to ISI:>//WOS:000724133900001
DO  - DOI:10.3390/e23111414
UR  - https://juser.fz-juelich.de/record/904542
ER  -