Uncertainty Relations in Statistical Mechanics: a numerical study in small lattice systems
Statistical Mechanics
2011-12-20 v2 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Abstract
We have analyzed the validity of uncertainty relations between the fluctuations of thermodynamically conjugated extensive and intensive variables within the field of statistical mechanics. Analysis is presented for two particular examples of small lattice systems that are in contact with reservoirs of comparable sizes: an Ising paramagnet and an Ising ferromagnet. The numerical results enable determination of the range of applicability of the proposed relations. Due to the fact that the examples correspond to systems described by discrete variables, the uncertainty relations are not valid if the probability of boundary states is too high.
Cite
@article{arxiv.1112.3485,
title = {Uncertainty Relations in Statistical Mechanics: a numerical study in small lattice systems},
author = {Genís Torrents and Eduard Vives and Antoni Planes},
journal= {arXiv preprint arXiv:1112.3485},
year = {2011}
}
Comments
11 pages, 9 figures