학술논문
The metastable Mpemba effect corresponds to a non-monotonic temperature dependence of extractable work
Document Type
Working Paper
Source
Frontiers in Physics 9, 654271 (2021)
Subject
Language
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.
Comment: 8 pages, 3 figures
Comment: 8 pages, 3 figures