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The Metastable Mpemba Effect Corresponds to a Non-monotonic Temperature Dependence of Extractable Work

Peer reviewed: 
Yes, item is peer reviewed.
Scholarly level: 
Faculty/Staff
Final version published as: 

Chétrite, R., Kumar, A., & Bechhoefer, J. (2021). The Metastable Mpemba Effect Corresponds to a Non-monotonic Temperature Dependence of Extractable Work. Frontiers in Physics, 9, 141. https://doi.org/10.3389/fphy.2021.654271.

Date created: 
2021-03-30
Identifier: 
DOI: 10.3389/fphy.2021.654271
Keywords: 
Mpemba effect
Fokker-Planck equation
Thermal relaxation
Metastability
Free-energy landscape
Abstract: 

The Mpemba effect refers to systems whose thermal relaxation time is a non-monotonic function of the initial temperature. Thus, a system that is initially hot cools to a bath temperature more quickly than the same system, initially warm. In the special case where the system dynamics can be described by a double-well potential with metastable and stable states, dynamics occurs in two stages: a fast relaxation to local equilibrium followed by a slow equilibration of populations in each coarse-grained state. We have recently observed the Mpemba effect experimentally in such a setting, for a colloidal particle immersed in water. Here, we show that this metastable Mpemba effect arises from a non-monotonic temperature dependence of the maximum amount of work that can be extracted from the local-equilibrium state at the end of Stage 1.

Language: 
English
Document type: 
Article
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