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).
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.
|Divisions :||Faculty of Engineering and Physical Sciences > Physics|
|Date :||1 January 2004|
|Identification Number :||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=http://prl.aps.org/>here</a> to access the journal's website.|
|Depositing User :||Mr Adam Field|
|Date Deposited :||27 May 2010 14:08|
|Last Modified :||23 Sep 2013 18:27|
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