Minimal length scales for the existence of local temperature

Details Minimal length scales for the existence of local temperature Minimal length scales for the existence of local temperature

2006-07-18

arxiv.org/abs/cond-mat/0607445v1

Contemporary Physics, 2006, Vol: 47, Pages: 89 - 102, ISSN: 0010-7514

Physics

Condensed Matter

Statistical Mechanics

review, 13 pages, 11 figures

Scientific paper

10.1080/00107510600581136

We review a recent approach to determine the minimal spatial length scales on which local temperature exists. After mentioning an experiment where such considerations are of relevance, we first discuss the precise definition of the existence of local temperature and its physical relevance. The approach to calculate the length scales in question considers homogenous chains of particles with nearest neighbor interactions. The entire chain is assumed to be in a thermal equilibrium state and it is analyzed when such an equilibrium state at the same time exists for a local part of it. The result yields estimates for real materials, the liability of which is discussed in the sequel. We finally consider a possibility to detect the existence or non-existence of a local thermal state in experiment.

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