Quantum thermodynamic processes: A control theory for machine cycles

Details Quantum thermodynamic processes: A control theory for machine cycles Quantum thermodynamic processes: A control theory for machine cycles

2007-12-04

arxiv.org/abs/0712.0534v2

Physics

Condensed Matter

Statistical Mechanics

14 pages, 12 figures, Replaced by version accepted for publication in European Physical Journal B

Scientific paper

10.1140/epjb/e2008-00270-2

The minimal set of thermodynamic control parameters consists of a statistical (thermal) and a mechanical one. These suffice to introduce all the pertinent thermodynamic variables; thermodynamic processes can then be defined as paths on this 2-dimensional control plane. Putting aside coherence we show that for a large class of quantum objects with discrete spectra and for the cycles considered the Carnot efficiency applies as a universal upper bound. In the dynamic (finite time) regime renormalized thermodynamic variables allow to include non-equilibrium phenomena in a systematic way. The machine function ceases to exist in the large speed limit; the way, in which this limit is reached, depends on the type of cycle considered.

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