Inducing and optimizing Markovian Mpemba effect with stochastic reset
Daniel Maria Busiello, Deepak Gupta, Amos Maritan
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.
Topics & Concepts
Reset (finance)PhysicsDissipationStatistical physicsMarkov processEnergy (signal processing)Applied mathematicsThermodynamicsQuantum mechanicsStatisticsMathematicsFinancial economicsEconomicsAdvanced Thermodynamics and Statistical Mechanicsstochastic dynamics and bifurcationDiffusion and Search Dynamics