Speed limit, dissipation bound and dissipation-time trade-off in thermal relaxation processes

Abstract

We investigate bounds on speed, non-adiabatic entropy production and trade-off relation between them for classical stochastic processes with time-independent transition rates. Our results show that the time required to evolve from an initial to a desired target state is bounded from below by the informational-theoretic $\infty$-Rényi divergence between these states, divided by the total rate. Furthermore, we conjecture and provide extensive numerical evidence for an information-theoretical bound on the non-adiabatic entropy production and a novel dissipation-time trade-off relation that outperforms previous bounds in some cases.

7+2 pages, 2 figures, to appear in Physical Review E as a Letter

References in corpus (10)

• Quantum speed limits in open system dynamics
• Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
• Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits
• The geometry of thermodynamic control
• Thermodynamic control -- an old paradigm with new applications
• Optimal Control in Stochastic Thermodynamics
• Bounds in Nonequilibrium Quantum Dynamics
• A geometric bound on the efficiency of irreversible thermodynamic cycles
• Supersymmetry and fluctuation relations for currents in closed networks
• Work statistics in slow thermodynamic processes

Cited by in corpus (2)

• Thermodynamic bounds on the asymmetry of cross-correlations with dynamical activity and entropy production
• Generalized free energy and excess/housekeeping decomposition in nonequilibrium systems: from large deviations to thermodynamic speed limits