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arXiv · 1711.00615

Mapping of uncertainty relations between continuous and discrete time

Davide Chiuchiù·Simone Pigolotti
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Abstract

Lower bounds on fluctuations of thermodynamic currents depend on the nature of time: discrete or continuous. To understand the physical reason, we compare current fluctuations in discrete-time Markov chains and continuous-time master equations. We prove that current fluctuations in the master equations are always more likely, due to random timings of transitions. This comparison leads to a mapping of the moments of a current between discrete and continuous time. We exploit this mapping to obtain new uncertainty bounds. Our results reduce the quests for uncertainty bounds in discrete and continuous time to a single problem.

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Davide Chiuchiù, Simone Pigolotti. 2018-03-09. Mapping of uncertainty relations between continuous and discrete time. https://doi.org/10.1103/physreve.97.032109

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