Jensen Inequality and the Second Law

Abstract

Jensen's Inequality (JIEQ) has proved to be a major tool to prove the consistency of various fluctuation theorems with the second law in microscopic thermodynamics. We show that the situation is far from clear and the reliance on the JIE may be quite misleading in general.

5 pages; corrections to references in this version

References in corpus (3)

• Hierarchy of Relaxation times and Residual Entropy: A Nonequilibrium Approach
• Nonequilibrium Work and its Hamiltonian Connection for a Microstate in Nonequilibrium Statistical Thermodynamics: A Case of Mistaken Identity
• Correcting the Mistaken Identification of Nonequilibrium Microscopic Work

Cited by in corpus (3)

• A First-Principles Nonequilibrium Deterministic Equation of Motion of a Brownian Particle and Microscopic Viscous Drag
• A Review of the System-Intrinsic Nonequilibrium Thermodynamics in Extended Space (MNEQT) with Applications
• Inference of Time-Reversal Asymmetry from Time Series in a Piezoelectric Energy Harvester