An expression of excess work during transition between nonequilibrium steady states
arXiv:1309.0848 · doi:10.1088/1751-8113/47/50/505002
Abstract
Excess work is a non-diverging part of the work during transition between nonequilibrium steady states (NESSs). It is a central quantity in the steady state thermodynamics (SST), which is a candidate for nonequilibrium thermodynamics theory. We derive an expression of excess work during quasistatic transitions between NESSs by using the macroscopic linear response relation of NESS. This expression is a line integral of a vector potential in the space of control parameters. We show a relationship between the vector potential and the response function of NESS, and thus obtain a relationship between the SST and a macroscopic quantity. We also connect the macroscopic formulation to microscopic physics through a microscopic expression of the nonequilibrium response function, which gives a result consistent with the previous studies.
12 pages,1 figure. Title changed. To appear in J. Phys. A: Math. Theor
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