Fluctuation Relations in Stochastic Thermodynamics

Abstract

Fluctuation relations are identities, holding in non-equilibrium systems, that have attracted a lot of interest in the last 20 years. This is a series of 4 lectures discussing various aspects of such relations for stochastic equations modeling non-equilibrium processes.

45 pages, 16 figures

References in corpus (3)

• Information heat engine: converting information to energy by feedback control
• The Physics of Maxwell's demon and information
• Work and dissipation fluctuations near the stochastic resonance of a colloidal particle

Cited by in corpus (9)

• Fluctuation theorems from Bayesian retrodiction
• E. Schrödinger's 1931 paper "On the Reversal of the Laws of Nature" ["Über die Umkehrung der Naturgesetze",Sitzungsberichte der preussischen Akademie der Wissenschaften, physikalische mathematische Klasse, 8 N9 144-153]
• Optimality of non-conservative driving for finite-time processes with discrete states
• A unified picture of strong coupling stochastic thermodynamics and time reversals
• On the efficiency of heat engines at the micro-scale and below
• Time reversals of irreversible quantum maps
• On the von Neumann entropy of a bath linearly coupled to a driven quantum system
• Classical uncertainty relations and entropy production in non-equilibrium statistical mechanics
• Fluctuation Theorems with Retrodiction rather than Reverse Processes