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Nonlinear Field Theories and Non‐Gaussian Fluctuations for Near‐Critical Many‐Body Systems
Author(s) -
Tuszyński J. A.,
Dixon J. M.,
Grundland A. M.
Publication year - 1994
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190420402
Subject(s) - nonlinear system , statistical physics , theoretical physics , field (mathematics) , complex system , gaussian , quantum , physics , computer science , mathematics , quantum mechanics , artificial intelligence , pure mathematics
This review article outlines a number of efforts made over the past several decades to understand the physics of near critical many‐body systems. Beginning with the phenomenological theories of Landau and Ginzburg the paper discusses the two main routes adopted in the past. The first approach is based on statistical calculations while the second investigates the underlying nonlinear field equations. In the last part of the paper we outline a generalisation of these methods which combines classical and quantum properties of the many‐body systems studied.