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On the statistical mechanics of the anyon gas

Abstract

A perturbative computation of the grand partition function of an anyon gas at first and second order in the anyonic coupling constant {alpha} is reviewed. Particular care is taken of the nonanalytic behaviour of the thermodynamical potential in terms of {alpha}. To first order in {alpha} the results are strikingly simple: only the second virial coefficient gets perturbative corrections when computed close to bosonic statistics. At second order however, the complexity of the anyon model appears. As illustration the correction to the third virial coefficient is given. (K.A.) 18 refs.; 2 figs.; 2 tabs.
Authors:
Ouvry, S [1] 
  1. Paris-11 Univ., 91 - Orsay (France). Inst. de Physique Nucleaire
Publication Date:
Jun 01, 1992
Product Type:
Conference
Report Number:
IPNO-TH-92-46; CONF-9206289-
Reference Number:
SCA: 661300; PA: AIX-25:003946; EDB-94:015583; ERA-19:005548; NTS-94:014812; SN: 93001121003
Resource Relation:
Conference: 21. differential geometric methods in theoretical physics (DGMTP) conference,Tianjin (China),5-9 Jun 1992; Other Information: PBD: Jun 1992
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANYONS; PARTITION FUNCTIONS; BOSE-EINSTEIN STATISTICS; COUPLING CONSTANTS; FERMI STATISTICS; PERTURBATION THEORY; STATISTICAL MECHANICS; THERMODYNAMIC PROPERTIES; VIRIAL EQUATION; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10111438
Research Organizations:
Paris-11 Univ., 91 - Orsay (France). Inst. de Physique Nucleaire
Country of Origin:
France
Language:
English
Other Identifying Numbers:
Other: ON: DE94609597; TRN: FR9303091003946
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
FRN
Size:
17 p.
Announcement Date:
Jun 30, 2005

Citation Formats

Ouvry, S. On the statistical mechanics of the anyon gas. France: N. p., 1992. Web.
Ouvry, S. On the statistical mechanics of the anyon gas. France.
Ouvry, S. 1992. "On the statistical mechanics of the anyon gas." France.
@misc{etde_10111438,
title = {On the statistical mechanics of the anyon gas}
author = {Ouvry, S}
abstractNote = {A perturbative computation of the grand partition function of an anyon gas at first and second order in the anyonic coupling constant {alpha} is reviewed. Particular care is taken of the nonanalytic behaviour of the thermodynamical potential in terms of {alpha}. To first order in {alpha} the results are strikingly simple: only the second virial coefficient gets perturbative corrections when computed close to bosonic statistics. At second order however, the complexity of the anyon model appears. As illustration the correction to the third virial coefficient is given. (K.A.) 18 refs.; 2 figs.; 2 tabs.}
place = {France}
year = {1992}
month = {Jun}
}