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

92 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

General Physics and Astronomy

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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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AU - Hartmann, Michael

AU - Mahler, Günter

AU - Hess, Ortwin

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N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/19544362366

U2 - 10.1103/PhysRevLett.93.080402

DO - 10.1103/PhysRevLett.93.080402

M3 - Article

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SN - 0031-9007

VL - 93

JO - Physical Review Letters

JF - Physical Review Letters

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ER -

Existence of Temperature on the Nanoscale

Abstract

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