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Geometric effect and gauge field in nonequilibrium quantum thermostatistics

Sumiyoshi Abe·Satoshi Kaneko
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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.

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Sumiyoshi Abe, Satoshi Kaneko. 2005-09-23. Geometric effect and gauge field in nonequilibrium quantum thermostatistics. https://doi.org/10.1016/j.physleta.2006.04.068

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