Existence of temperature on the nanoscale

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dc.creatorHartmann, Michael
dc.creatorMahler, Guenter
dc.creatorHess, Ortwin
dc.date2003-12-30
dc.date2004-09-08
dc.date.accessioned2026-07-07T06:08:42Z
dc.date.available2026-07-07T06:08:42Z
dc.descriptionWe consider a regular chain of quantum particles with nearest neighbour interactions in a canonical state with temperature $T$. We analyse 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 $n_{min} \propto T^{-3}$ below.
dc.descriptionVersion that appeared in PRL
dc.identifierhttps://arxiv.org/abs/quant-ph/0312214
dc.identifierhttp://arxiv.org/abs/quant-ph/0312214
dc.identifierPhys. Rev. Lett. 93, 080402 (2004)
dc.identifierdoi:10.1103/PhysRevLett.93.080402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91723
dc.subjectQuantum Physics
dc.subjectStatistical Mechanics
dc.titleExistence of temperature on the nanoscale
dc.typetext

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