In the Descartes protocol, exact bounds on normalized warm temperature yield the Mpemba effect under time-delayed cooling, maximized when waiting time equals delay time, with smaller peak magnitude than prior two-reservoir protocols.
Santos, Time-delayed Newton’s law of cooling with a fi nite-rate thermal quench: Impact on the Mpemba and Kovacs effects, Phys
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The Mpemba effect in the Descartes protocol: A time-delayed Newton's law of cooling approach
In the Descartes protocol, exact bounds on normalized warm temperature yield the Mpemba effect under time-delayed cooling, maximized when waiting time equals delay time, with smaller peak magnitude than prior two-reservoir protocols.