Inducing and optimizing Markovian Mpemba effect with stochastic reset

Abstract

A hot Markovian system can cool down faster than a colder one: this is known as the Mpemba effect. Here, we show that a non-equilibrium driving via stochastic reset can induce this phenomenon, when absent. Moreover, we derive an optimal driving protocol simultaneously optimizing the appearance time of the Mpemba effect, and the total energy dissipation into the environment, revealing the existence of a Pareto front. Building upon previous experimental results, our findings open up the avenue of possible experimental realizations of optimal cooling protocols in Markovian systems.

Accepted Manuscript in New Journal of Physics (in press, 2021)

References in corpus (8)

• Fluctuations and response of nonequilibrium states
• Optimal mean first-passage time for a Brownian searcher subjected to resetting: experimental and theoretical results
• Exponentially faster cooling in a colloidal system
• An update on nonequilibrium linear response
• Stochastic Search with Poisson and Deterministic Resetting
• Frenetic bounds on the entropy production
• Stochastic resetting in underdamped Brownian motion
• The metastable Mpemba effect corresponds to a non-monotonic temperature dependence of extractable work