Existence of Temperature on the Nanoscale

Michael Hartmann; Günter Mahler; Ortwin Hess

doi:10.1103/PhysRevLett.93.080402

Existence of Temperature on the Nanoscale

Michael Hartmann^*, Günter Mahler, Ortwin Hess

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

78 Citations (Scopus)

Abstract

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 n_min=was constant for temperatures above the Debye temperature and n_min ∞T ^-3 below.

Original language	English
Article number	080402
Journal	Physical Review Letters
Volume	93
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevLett.93.080402
Publication status	Published - 20 Aug 2004

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1103/PhysRevLett.93.080402

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title = "Existence of Temperature on the Nanoscale",

abstract = "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.",

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AB - 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.

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Existence of Temperature on the Nanoscale

Abstract

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