Automated symbolic calculations in nonequilibrium thermodynamics

作者：Kroeger Martin; Huetter Markus

来源：Computer Physics Communications, 2010, 181(12): 2149-2157.

DOI：10.1016/j.cpc.2010.07.050

• Jacobi identity
• Reversible dynamics
• Time-structure invariance
• Degeneracy conditions
• Program code
• Poisson bracket

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 within the framework of nonequilibrium thermodynamics: reversible equations of change for fields, and the conservation of entropy during the reversible dynamics.

• 出版日期2010-12