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Existence of Temperature on the Nanoscale

Hartmann, M, Mahler, G and Hess, O (2004) Existence of Temperature on the Nanoscale Physical Review Letters, 93 (8).


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We consider a regular chain of quantum particles with nearest neighbor interactions in a canonical state with temperature T. We analyze the conditions under which the state factors into a product of canonical density matrices with respect to groups of n particles each and under which these groups have the same temperature T. In quantum mechanics the minimum group size n(min) depends on the temperature T, contrary to the classical case. We apply our analysis to a harmonic chain and find that n(min)=const for temperatures above the Debye temperature and n(min)proportional toT(-3) below.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Physics
Authors :
Hartmann, M
Mahler, G
Date : 1 January 2004
DOI : 10.1103/PhysRevLett.93.080402
Additional Information : Published in <i>Physical Review Letters,</i> Vol. 93, Iss. 8. Copyright 2004 American Physical Society. Click <a href=>here</a> to access the journal's website.
Depositing User : Mr Adam Field
Date Deposited : 27 May 2010 14:08
Last Modified : 31 Oct 2017 13:57

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