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On the local equilibrium condition

Abstract

A physical system is in local equilibrium if it cannot be distinguished from a global equilibrium by ``infinitesimally localized measurements``. This should be a natural characterization of local equilibrium, but the problem is to give a precise meaning to the qualitative phrase ``infinitesimally localized measurements``. A solution is suggested in form of a Local Equilibrium Condition (LEC), which can be applied to linear relativistic quantum field theories but not directly to selfinteracting quantum fields. The concept of local temperature resulting from LEC is compared to an old approach to local temperature based on the principle of maximal entropy. It is shown that the principle of maximal entropy does not always lead to physical states if it is applied to relativistic quantum field theories. (orig.)
Authors:
Publication Date:
Nov 01, 1994
Product Type:
Technical Report
Report Number:
DESY-94-208; HEP-TH-9411094
Reference Number:
SCA: 662110; PA: DEN-95:0F5532; EDB-95:054037; SN: 95001361335
Resource Relation:
Other Information: PBD: Nov 1994
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM FIELD THEORY; THERMAL EQUILIBRIUM; ENTROPY; RELATIVISTIC RANGE; TEMPERATURE DEPENDENCE; EXPECTATION VALUE; COMMUTATORS; FIELD OPERATORS; SCALAR FIELDS; MASSLESS PARTICLES; BOSONS; HAMILTONIANS; DENSITY MATRIX; LOCALITY; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10128350
Research Organizations:
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0418-9833; Other: ON: DE95756004; TRN: DE95F5532
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
6 p.
Announcement Date:
Jul 04, 2005

Citation Formats

Hessling, H. On the local equilibrium condition. Germany: N. p., 1994. Web.
Hessling, H. On the local equilibrium condition. Germany.
Hessling, H. 1994. "On the local equilibrium condition." Germany.
@misc{etde_10128350,
title = {On the local equilibrium condition}
author = {Hessling, H}
abstractNote = {A physical system is in local equilibrium if it cannot be distinguished from a global equilibrium by ``infinitesimally localized measurements``. This should be a natural characterization of local equilibrium, but the problem is to give a precise meaning to the qualitative phrase ``infinitesimally localized measurements``. A solution is suggested in form of a Local Equilibrium Condition (LEC), which can be applied to linear relativistic quantum field theories but not directly to selfinteracting quantum fields. The concept of local temperature resulting from LEC is compared to an old approach to local temperature based on the principle of maximal entropy. It is shown that the principle of maximal entropy does not always lead to physical states if it is applied to relativistic quantum field theories. (orig.)}
place = {Germany}
year = {1994}
month = {Nov}
}