Inducing and optimizing Markovian Mpemba effect with stochastic reset
arXiv:2106.08044 · doi:10.1088/1367-2630/ac2922
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.
arXiv commentAccepted Manuscript in New Journal of Physics (in press, 2021)
References in corpus (43)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Diffusion with Stochastic Resetting
- Steady State Thermodynamics of Langevin Systems
- Stochastic Resetting and Applications
- Fluctuations and response of nonequilibrium states
- Thermodynamics of a Colloidal Particle in a Time-Dependent Non-Harmonic Potential
- Experimental realization of diffusion with stochastic resetting
- Speed Limit for Classical Stochastic Processes
- Anomalous cooling and heating - the Mpemba effect and its inverse
- Optimal mean first-passage time for a Brownian searcher subjected to resetting: experimental and theoretical results
- Stochastic resetting in backtrack recovery by RNA polymerases
- When the Hotter Cools More Quickly: Mpemba Effect in Granular Fluids
- Exponentially faster cooling in a colloidal system
- Engineered swift equilibration of a Brownian particle
- An update on nonequilibrium linear response
- Entropy production and Kullback-Leibler divergence between stationary trajectories of discrete systems
- Stochastic thermodynamics of resetting
- The Mpemba index and anomalous relaxation
- Stochastic Search with Poisson and Deterministic Resetting
- Work fluctuations and Jarzynski equality in stochastic resetting
- Experimental test of the differential fluctuation theorem and a generalized Jarzynski equality for arbitrary initial states
- Shortcut to Equilibration of an Open Quantum System
- Faster uphill relaxation in thermodynamically equidistant temperature quenches
- Pre-Cooling Strategy Allows Exponentially Faster Heating
- Frenetic bounds on the entropy production
- Stochastic resetting in underdamped Brownian motion
- Dynamic particle tracking reveals the aging temperature of a colloidal glass
- Fluctuation-dissipation relations far from equilibrium
- Mpemba effect in driven granular Maxwell gases
- Thermodynamic uncertainty relation for systems with unidirectional transitions
- Entropy production in systems with unidirectional transitions
- Hyperaccurate currents in stochastic thermodynamics
- Phase transitions in Pareto optimal complex networks
- Thermal bath Engineering for Swift Equilibration
- The metastable Mpemba effect corresponds to a non-monotonic temperature dependence of extractable work
- Engineered Swift Equilibration for Brownian objects: from underdamped to overdamped dynamics
- Nonconvexity of the relative entropy for Markov dynamics: A Fisher information approach
- Entropy production for coarse-grained dynamics
- Asymmetric Stochastic Resetting: Modeling Catastrophic Events
- Mpemba effect in an anisotropically driven granular gas
- Stochastic resetting antiviral therapies prevents drug resistance development
- Tighter thermodynamic bound on speed limit in systems with unidirectional transitions
- Similarities and Differences Between Nonequilibrium Steady States and Time-Periodic Driving in Diffusive Systems