Automated symbolic calculations in nonequilibrium thermodynamics

Published: 01-12-2010| Version 1 | DOI: 10.17632/mny9tkxcvp.1
Martin Kröger,
Markus Hütter


Abstract We cast the Jacobi identity for continuous fields into a local form which eliminates the need to perform any partial integration to the expense of performing variational derivatives. This allows us to test the Jacobi identity definitely and efficiently and to provide equations between different components defining a potential Poisson bracket. We provide a simple Mathematica ^(TM)notebook which allows to perform this task conveniently, and which offers some additional functionalities of use... Title of program: Poissonbracket.nb Catalogue Id: AEGW_v1_0 Nature of problem Testing the Jacobi identity can be a very complex task depending on the structure of the Poisson bracket. The Mathematica notebook provided here solves this problem using a novel symbolic approach based on inherent properties of the variational derivative, highly suitable for the present tasks. As a by product, calculations performed with the Poisson bracket assume a compact form. Versions of this program held in the CPC repository in Mendeley Data AEGW_v1_0; Poissonbracket.nb; 10.1016/j.cpc.2010.07.050 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)