dorsal/arxiv
View SchemaExistence of temperature on the nanoscale
| Authors | Michael Hartmann, Guenter Mahler, Ortwin Hess |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312214 |
| URL | https://arxiv.org/abs/quant-ph/0312214 |
| DOI | 10.1103/PhysRevLett.93.080402 |
| Journal | Phys. Rev. Lett. 93, 080402 (2004) |
Abstract
We 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.
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"abstract": "We consider a regular chain of quantum particles with nearest neighbour\ninteractions in a canonical state with temperature $T$. We analyse the\nconditions under which the state factors into a product of canonical density\nmatrices with respect to groups of $n$ particles each and under which these\ngroups have the same temperature $T$. In quantum mechanics the minimum group\nsize $n_{min}$ depends on the temperature $T$, contrary to the classical case.\nWe apply our analysis to a harmonic chain and find that $n_{min} = const.$ for\ntemperatures above the Debye temperature and $n_{min} \\propto T^{-3}$ below.",
"arxiv_id": "quant-ph/0312214",
"authors": [
"Michael Hartmann",
"Guenter Mahler",
"Ortwin Hess"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevLett.93.080402",
"journal_ref": "Phys. Rev. Lett. 93, 080402 (2004)",
"title": "Existence of temperature on the nanoscale",
"url": "https://arxiv.org/abs/quant-ph/0312214"
},
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