Jarzynski Equality for an Energy-Controlled System

Details Jarzynski Equality for an Energy-Controlled System Jarzynski Equality for an Energy-Controlled System

2011-01-20

arxiv.org/abs/1101.3826v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, 1 figure

Scientific paper

The Jarzynski equality (JE) is known as an exact identity for nonequillibrium systems. The JE was originally formulated for isolated and isothermal systems, while Adib reported an JE extended to an isoenergetic process. In this paper, we extend the JE to an energy-controlled system. We make it possible to control the instantaneous value of the energy arbitrarily in a nonequilibrium process. Under our extension, the new JE is more practical and useful to calculate the number of states and the entropy than the isoenergetic one. We also show application of our JE to a kind of optimization problems.

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