Fluctuation Relation for Heat

Abstract

We present a fluctuation relation for heat dissipation in a nonequilibrium system. A nonequilibrium work is known to obey the fluctuation theorem in any time interval $t$. A heat, which differs from a work by an energy change, is shown to satisfy a modified fluctuation relation. Modification is brought by correlation between a heat and an energy change during nonequilibrium processes whose effect may not be negligible even in the $t\to \infty$ limit. The fluctuation relation is derived for overdamped Langevin equation systems, and tested in a linear diffusion system.

5 pages, 3 figure

References in corpus (11)

• An Extension of the Fluctuation Theorem
• Nonequilibrium fluctuations in a resistor
• Extended Heat-Fluctuation Theorems for a System with Deterministic and Stochastic Forces
• Work fluctuations for a Brownian particle between two thermostats
• Relevance of initial and final conditions for the Fluctuation Relation in Markov processes
• On the range of validity of the fluctuation theorem for stochastic Markovian dynamics
• Fluctuation symmetries for work and heat
• Unifying approach for fluctuation theorems from joint probability distributions
• Stochastic thermodynamics for delayed Langevin systems
• Bound particle coupled to two thermostats
• A field-theoretic approach to nonequilibrium work identities

Cited by in corpus (8)

• Overdamped stochastic thermodynamics with multiple reservoirs
• Stochastic thermodynamics of Langevin systems under time-delayed feedback control: II. Nonequilibrium steady-state fluctuations
• Hidden entropy production by fast variables
• Heat fluctuations and initial ensembles
• Work Relations Connecting Nonequilibrium Steady States Without Detailed Balance
• Non-adiabatic effect in quantum pumping for a spin-boson system
• Energy pumping in electrical circuits under avalanche noise
• On the steady state probability distribution of nonequilibrium stochastic systems