Entropy Currents for Reversible Processes in a System of Differential equations. -- The Case of Latticized Classical Field Theory --

Holger B. Nielsen; Masao Ninomiya

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arXiv · hep-th/0612156

Entropy Currents for Reversible Processes in a System of Differential equations. -- The Case of Latticized Classical Field Theory --

Holger B. Nielsen·Masao Ninomiya

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Abstract

We consider a very complicated system of some latticized differential equations that is considered as equations of motion for a field theory. We define macro state restrictions for such a system analogous to thermodynamical states of a system in statistical mechanics. For the case in which we have assumed adiabaticity in a generalized way which is equivalent to reversible processes. It is shown that we can define various entropy currents, not only one. It is indeed surprising that, for a two dimensional example of lattice field theory, we get three different entropy currents, all conserved under the adiabaticity condition.

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Holger B. Nielsen, Masao Ninomiya. 2006-12-15. Entropy Currents for Reversible Processes in a System of Differential equations. -- The Case of Latticized Classical Field Theory --. https://arxiv.org/abs/hep-th/0612156

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