Geometric effect and gauge field in nonequilibrium quantum thermostatistics
Statistical Mechanics
2009-11-11 v1
Abstract
The concept of work is studied in quantum thermostatistics of a system surrounded by an environment and driven by an external force. It is found that there emerges the gauge theoretical structure in a nonequilibrium process, the field of which is referred to as the work gauge field. The thermodynamic work as the flux of the work gauge field is considered for a cyclic process in the space of the external-force parameters. As an example, the system of a spin-1/2 interacting with an external magnetic field is analyzed. This geometric effect may be observed, for example, in an NMR experiment and can be applied to the problem of cooling/heating of a small system.
Keywords
Cite
@article{arxiv.cond-mat/0509603,
title = {Geometric effect and gauge field in nonequilibrium quantum thermostatistics},
author = {Sumiyoshi Abe and Satoshi Kaneko},
journal= {arXiv preprint arXiv:cond-mat/0509603},
year = {2009}
}
Comments
11 pages