Local versus global thermal states: Correlations and the existence of local temperatures

Michael Hartmann, Günter Mahler, Ortwin Hess

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)

Abstract

A quantum system consisting of a regular chain of elementary subsystems with nearest neighbor interactions was considered and it was assumed that the total system is in a canonical state with temperature T. The conditions under which the state factors into a product of canonical density matrices with respect to groups of n subsystems each, and when these groups have the same temperature T, were analyzed. A quantitative estimate of the minimal length scale on which temperature can exist was given by the approach for the harmonic chain, which successfully describes thermal properties of insulating solids. It was found that this length scale is constant for temperatures above the Debye temperature and proportional to T-3 below.

Original languageEnglish
Article number066148
JournalPhysical Review E
Volume70
Issue number6
DOIs
Publication statusPublished - Dec 2004

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Fingerprint

Dive into the research topics of 'Local versus global thermal states: Correlations and the existence of local temperatures'. Together they form a unique fingerprint.

Cite this