Landau Theory for the Mpemba Effect Through Phase Transitions

Abstract

The Mpemba effect describes the situation in which a hot system cools faster than an identical copy that is initiated at a colder temperature. In many of the experimental observations of the effect, e.g. in water and clathrate hydrates, it is defined by the phase transition timing. However, none of the theoretical investigations so far considered the timing of the phase transition, and most of the abstract models used to explore the Mpemba effect do not have a phase transition. We use the phenomenological Landau theory for phase transitions to identify the second order phase transition time, and demonstrate with a concrete example that a Mpemba effect can exist in such models.

arXiv comment11 pages, 6 figures

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Cited by in corpus (22)

• Quantum Mpemba effect in a quantum dot with reservoirs
• Multiple quantum Mpemba effect: exceptional points and oscillations
• The quantum Mpemba effects
• Mpemba effects in open nonequilibrium quantum systems
• Relaxation shortcuts through boundary coupling
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• Landau theory for finite-time dynamical phase transitions
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• Asymmetric Thermal Relaxation in Driven Systems: Rotations go Opposite Ways
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• Mpemba effect in the relaxation of an active Brownian particle in a trap without metastable states
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• Mpemba effect on non-equilibrium active Markov chains
• Thermographic study of freezing water drops: An insight on Mpemba effect