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.

arXiv comment7+2 pages, 2 figures, to appear in Physical Review E as a Letter

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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