2018/02/19 by Naoto Shiraishi, Ken Funo, Keiji Saito · 2 citations
Physics and Astronomy · #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physrevlett.121.070601
published as Phys. Rev. Lett. 121, 070601 (2018) · 6 pages, 1 figure
arxiv created 2018/02/19 · arxiv updated 2018/08/22
Speed limit for classical stochastic Markov processes with discrete states is studied. We find that a trade-off inequality exists between the speed of the state transformation and the entropy production. The dynamical activity determines the time scale and plays a crucial role in the inequality. For systems with stationary current, a similar trade-off inequality with the Hatano-Sasa entropy production gives a much better bound on the speed of the state transformation. Our inequalities contain only physically well-defined quantities, and thus the physical picture of these inequalities is clear.