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- W2523502012 abstract "The Clausius inequality (CI) form of the second law of thermodynamics relates information changes (entropy) to changes in the first moment of the energy (heat and indirectly also work). We use the Bregman divergence to derive families of generalized Clausius inequalities (gCI) that relate changes in higher moments of the energy to information measures. The formalism follows the standard second law and has the same mathematical structure. This includes the CI form, and no cyclic extraction of higher order energy flows from a single bath. As a motivation for the gCI we study cases where a thermal bath interacts with a system without any heat exchange. In this case the standard second law does not provide any information. However, this type of interaction has non zero higher order heat flows which are thermodynamically limited by the gCI. In addition, in certain cases we derive results which are tighter compared to the standard second law. For example, for heat machines, we find an efficiency bound which is tighter than the Carnot bound. The gCI are also used to study new types of heat machines (zero and half-zero heat machines) where the performance is limited only by the gCI and not by the standard second law. This study adds another layer to the fundamental connection between energy and information. It is intriguing to fully map the regime of validity of the new gCI and extend the present results to more general scenarios including quantum coherences in the energy basis of the system." @default.
- W2523502012 created "2016-09-30" @default.
- W2523502012 creator A5003314993 @default.
- W2523502012 date "2016-09-19" @default.
- W2523502012 modified "2023-09-27" @default.
- W2523502012 title "Generalized Clausius inequalities for small systems - higher order heat flows and their related information measures" @default.
- W2523502012 hasPublicationYear "2016" @default.
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