Path-dependent Entropy Production
arXiv:1508.01276 · doi:10.3938/jkps.67.785
Abstract
A rigorous derivation of nonequilibrium entropy production via the path-integral formalism is presented. Entropy production is defined as the entropy change piled in a heat reservoir as a result of a nonequilibrium thermodynamic process. It is a central quantity by which various forms of the fluctuation theorem are obtained. The two kinds of the stochastic dynamics are investigated: the Langevin dynamics for an even-parity state and the Brownian motion of a single particle. Mathematical ambiguities in deriving the functional form of the entropy production, which depends on path in state space, are clarified by using a rigorous quantum mechanical approach.
References in corpus (7)
- Nonequilibrium fluctuations in a resistor
- Integral fluctuation theorem for the housekeeping heat
- Work fluctuation theorems for harmonic oscillators
- Entropy Production of Brownian Macromolecules with Inertia
- Stochastic thermodynamics for delayed Langevin systems
- Fluctuations of the total entropy production in stochastic systems
- Tuning the effective coupling of an AFM lever to a thermal bath