Anomalous relaxation from a non-equilibrium steady state: An isothermal analog of the Mpemba effect

Abstract

The Mpemba effect denotes an anomalous relaxation phenomenon where a system initially at a hot temperature cools faster than a system that starts at a less elevated temperature. We introduce an isothermal analog of this effect for a system prepared in a non-equilibrium steady state that then relaxes towards equilibrium. Here, the driving strength, which determines the initial non-equilibrium steady state, takes the role of the temperature in the original version. As a paradigm, we consider a particle initially driven by a non-conservative force along a one-dimensional periodic potential. We show that for an asymmetric potential relaxation from a strongly driven initial state is faster than from a more weakly driven one at least for one of the two possible directions of driving. These results are first obtained through perturbation theory in the strength of the potential and then extended to potentials of arbitrary strength through topological arguments.

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Cited by in corpus (11)

• Mpemba effects in open nonequilibrium quantum systems
• Hyper-acceleration of quantum thermalization dynamics by bypassing long-lived coherences: An analytical treatment
• Landau Theory for the Mpemba Effect Through Phase Transitions
• Speedups in nonequilibrium thermal relaxation: Mpemba and related effects
• Thermomajorization Mpemba Effect
• Mpemba effect in a Langevin system: population statistics, metastability and other exact results
• Non-equilibrium memory effects: granular fluids and beyond
• Asymmetric Thermal Relaxation in Driven Systems: Rotations go Opposite Ways
• Mpemba effect in the relaxation of an active Brownian particle in a trap without metastable states
• Role of interactions in non-equilibrium transformations
• Mpemba effect on non-equilibrium active Markov chains