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Complementarity relation for irreversible process derived from stochastic energetics

Ken Sekimoto·Shin-ichi Sasa
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Abstract

When the process of a system in contact with a heat bath is described by classical Langevin equation, the method of stochastic energetics [K. Sekimoto, J. Phys. Soc. Jpn. vol. 66 (1997) p.1234] enables to derive the form of Helmholtz free energy and the dissipation function of the system. We prove that the irreversible heat Q_irr and the time lapse $Delta t} of an isothermal process obey the complementarity relation, Q_irr {Delta t} >= k_B T S_min, where S_min depends on the initial and the final values of the control parameters, but it does not depend on the pathway between these values.

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Ken Sekimoto, Shin-ichi Sasa. 1997-08-05. Complementarity relation for irreversible process derived from stochastic energetics. https://doi.org/10.1143/jpsj.66.3326

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