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Updated: Jul 8, 2025

Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
Speed limit, dissipation bound, and dissipation-time trade-off in thermal relaxation processes
1Chengdu Academy of Education Sciences, Chengdu 610036, China.
Abstract:
We investigate bounds on speed, nonadiabatic entropy production, and the 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 information-theoretical ∞-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 nonadiabatic entropy production and a dissipation-time trade-off relation that outperforms previous bounds in some cases..
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