Premium
Structural Stability Theory and Phase Transitions Models
Author(s) -
de Alfaro V.,
Rasetti M.
Publication year - 1978
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19780260302
Subject(s) - ising model , stability (learning theory) , partition function (quantum field theory) , statistical physics , phase transition , computation , mean field theory , partition (number theory) , mathematics , computer science , theoretical physics , topology (electrical circuits) , physics , algorithm , combinatorics , machine learning , quantum mechanics
Global stability theory is introduced as a tool allowing the classification of mathematical models of phase transitions. The point of view is that a topological structure whose stability controls the transition, can be identified in the process of computation of the partition function. In particular we discuss mean field theories and the two dimensional Ising model. Interesting features are disclosed concerning the classification of the instabilities, such as the number of parameters and possible approximations.