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Mpemba effect in terms of mean first passage time
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The Mpemba effect occurs when a system prepared at a hot temperature cools down faster to the bath temperature than an identical system starting at a warm temperature. We derive the condition for the Mpemba effect in the small-diffusion limit of overdamped Langevin dynamics on a double-well potential. Our results show the strong Mpemba effect occurs when the probability of being in a well at initial and bath temperature match, which agrees with experiments. We also derive the conditions for the weak Mpemba effect and express the conditions for the effects in terms of mean first passage time.
Forward citations
Cited by 2 Pith papers
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Conserved quantities enable the quantum Mpemba effect in weakly open systems
Weakly open quantum spins with more than one conserved quantity can exhibit quantum Mpemba crossings between thermal states; with energy as the only conserved quantity they do not.
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Quantum Mpemba Effects from Symmetry Perspectives
A review arguing that the quantum Mpemba effect in closed systems is driven by unequal thermalization rates of different symmetry sectors, with entanglement asymmetry and charge variance playing complementary roles.
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