Skip to main content

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

Resource type
Date created
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.
Copyright statement
Copyright is held by the author(s).
Scholarly level
Peer reviewed?
Member of collection
Download file Size
input_data\21162\fphy-09-654271.pdf 536.3 KB

Views & downloads - as of June 2023

Views: 0
Downloads: 0