Non-Equilibrium Thermodynamics and Stochasticity, A Phenomenological Look on Jarzynki's Equality

Abstract

The theory of phenomenological Non-equilibrium Thermodynamics is extended by includimg stochastic processes in order to account for recently derived thermodynamical relations such as the Jarzynski equality. Four phenomenological axioms are postulated resulting in a phenomenological interpretation of Jarzynski's equality. Especially, considering the class of Jarzynski processes Jarzynski's equality follows from the axiom that the statistical average of the exponential work is protocol independent.

References in corpus (3)

• Fluctuation Theorem for Arbitrary Open Quantum Systems
• Rare events and the convergence of exponentially averaged work values
• Beyond Boltzmann-Gibbs statistics: Maximum entropy hyperensembles out-of-equilibrium

Cited by in corpus (2)

• Second Law and Non-Equilibrium Entropy of Schottky Systems -- Doubts and Verification
• A Review of the System-Intrinsic Nonequilibrium Thermodynamics in Extended Space (MNEQT) with Applications