Fluctuation, Dissipation and the Arrow of Time

Abstract

The recent development of the theory of fluctuation relations has led to new insights into the ever-lasting question of how irreversible behavior emerges from time-reversal symmetric microscopic dynamics. We provide an introduction to fluctuation relations, examine their relation to dissipation and discuss their impact on the arrow of time question.

12 pages, 3 figures. Minor Revisions. Accepted for publication in Entropy, Special Issue "Arrow of Time", edited by C. Callender

References in corpus (7)

• Comparison of far-from-equilibrium work relations
• Quantum work relations and response theory
• Comparison of work fluctuation relations
• Finite Bath Fluctuation Theorem
• Quantum Bochkov-Kuzovlev Work Fluctuation Theorems
• On a new definition of quantum entropy
• Mechanical Proof of the Second Law of Thermodynamics Based on Volume Entropy

Cited by in corpus (20)

• Reversing the direction of heat flow using quantum correlations
• The role of coherence in the non-equilibrium thermodynamics of quantum systems
• Irreversibility and the arrow of time in a quenched quantum system
• Quantum fluctuation theorems and generalized measurements during the force protocol
• Experimental entanglement-enhanced work extraction based on a Maxwell's demon
• Comparison of free energy estimators and their dependence on dissipated work
• Quantum Fluctuation Theorems
• Effects of the Dzyaloshinsky-Moriya interaction on nonequilibrium thermodynamics in the $XY$ chain in a transverse field
• Information geometry approach to quantum stochastic thermodynamics
• Non-equilibrium thermodynamics of continuously measured quantum systems: a circuit-QED implementation
• Heat and work distributions for mixed Gauss-Cauchy process
• Quantum thermodynamics for a model of an expanding universe
• Quantum and classical contributions to entropy production in fermionic and bosonic Gaussian systems
• Characterizing irreversibility in open quantum systems
• Ensemble dependence of information-theoretic contributions to the entropy production
• Convergence of the Integral Fluctuation Theorem estimator for nonequilibrium Markov systems
• A framework for sequential measurements and general Jarzynski equations
• Nonlinear and non-CP gates for Bloch vector amplification
• Information geometry, simulation and complexity in Gaussian random fields
• Time-reversal of an unknown quantum state