Analytical expressions are derived for external temperature protocols that produce any prescribed internal temperature trajectory using Newtonian cooling and microscopic models, including cases with Mpemba effects.
Then an arrested ther- mal transport is maintained between the two final states rather than an established final thermal equilibrium
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Inverse engineering of cooling protocols: from normal behavior to Mpemba effects
Analytical expressions are derived for external temperature protocols that produce any prescribed internal temperature trajectory using Newtonian cooling and microscopic models, including cases with Mpemba effects.