Work fluctuation and total entropy production in nonequilibrium processes
arXiv:1609.00174 · doi:10.1103/PhysRevE.94.062112
Abstract
Work fluctuation and total entropy production play crucial roles in small thermodynamic systems subject to large thermal fluctuations. We investigate a trade-off relation between them in a nonequilibrium situation in which a system starts from an arbitrary nonequilibrium state. We apply the variational method to study this problem and find a stationary solution against variations over protocols that describe the time dependence of the Hamiltonian of the system. Using the stationary solution, we find the minimum of the total entropy production for a given amount of work fluctuation. An explicit protocol that achieves this is constructed from an adiabatic process followed by a quasi-static process. The obtained results suggest how one can control the nonequilibrium dynamics of the system while suppressing its work fluctuation and total entropy production.
13 pages, 6 figures
References in corpus (10)
- Thermodynamic uncertainty relation for biomolecular processes
- Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
- The Physics of Maxwell's demon and information
- Second Law of Thermodynamics with Discrete Quantum Feedback Control
- High-precision test of Landauer's principle in a feedback trap
- The thermodynamic meaning of negative entropy
- Optimal finite-time processes in stochastic thermodynamics
- Experimental study of mutual information in a Maxwell Demon
- Suppression of work fluctuations by optimal control: An approach based on Jarzynski's equality
- Calculating work in adiabatic two-level quantum Markovian master equations: A characteristic function method