Automated symbolic calculations in nonequilibrium thermodynamics

We cast the Jacobi identity for continuous fields into a local form which eliminates the need to performany partial integration to the expense of performing variational derivatives. This allows us to test theJacobi identity definitely and efficiently and to provide equations between different components defininga potential Poisson bracket. We provide a simple MathematicaTM notebook which allows to performthis task conveniently, and which offers some additional functionalities of use within the frameworkof nonequilibrium thermodynamics: reversible equations of change for fields, and the conservation ofentropy during the reversible dynamics.