Existence of Temperature on the Nanoscale

Michael Hartmann*, Günter Mahler, Ortwin Hess

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

83 Citations (Scopus)


A regular chain of quantum particles with nearest neighbour interactions in a canonical state with temperature were studied. The conditions under which the states factored into a product of canonical density matrices with respect to groups of n particles each were analyzed. The conditions under which the groups have the same temperature were also analyzed. The analysis was applied to a harmonic chain and it was found that nmin=was constant for temperatures above the Debye temperature and nmin ∞T -3 below.

Original languageEnglish
Article number080402
JournalPhysical Review Letters
Issue number8
Publication statusPublished - 20 Aug 2004

ASJC Scopus subject areas

  • General Physics and Astronomy


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