Random matrix theory in lattice statistical mechanics

Autor:	J.-Ch. Anglès d'Auriac, J.-M. Maillard
Rok vydání:	2003
Předmět:	Statistics and Probability n-vector model Quantum mechanics Lattice field theory Statistical physics Statistical mechanics Lattice QCD Condensed Matter Physics Classical XY model Random matrix Lattice model (physics) Mathematics Potts model
Zdroj:	Physica A: Statistical Mechanics and its Applications. 321:325-333
ISSN:	0378-4371
DOI:	10.1016/s0378-4371(02)01756-9
Popis:	In this short note we collect together known results on the use of random matrix theory (RMT) in lattice statistical mechanics. The purpose here is two fold. Firstly the RMT analysis provides an intrinsic characterization of integrability, and secondly it appears to be an effective tool to find new integrable models. Various examples from quantum and classical statistical mechanics are presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::596a10031292c430fc348ba7c660b1a2 https://doi.org/10.1016/s0378-4371(02)01756-9 Zobrazit plný text záznamu Full Text from ScienceDirect