Fluctuation relations and strong inequalities for thermally isolated systems
arXiv:1907.09604 · doi:10.1016/j.physa.2019.122077
Abstract
For processes during which a macroscopic system exchanges no heat with its surroundings, the second law of thermodynamics places two lower bounds on the amount of work performed on the system: a weak bound, expressed in terms of a fixed-temperature free energy difference, , and a strong bound, given by a fixed-entropy internal energy difference, . It is known that statistical inequalities related to the weak bound can be obtained from the nonequilibrium work relation, . Here we derive an integral fluctuation relation that is constructed specifically for adiabatic processes, and we use this result to obtain inequalities related to the strong bound, . We provide both classical and quantum derivations of these results.
arXiv commentDedicated to the memory of Christian Van den Broeck
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