Adiabatic invariance with first integrals of motion

Details Adiabatic invariance with first integrals of motion Adiabatic invariance with first integrals of motion

2002-05-11

arxiv.org/abs/cond-mat/0205237v4

Phys. Rev. E 66, 047101 (2002)

Physics

Condensed Matter

Statistical Mechanics

2 pages, no figures (REVTeX 4)

Scientific paper

10.1103/PhysRevE.66.047101

The construction of a microthermodynamic formalism for isolated systems based on the concept of adiabatic invariance is an old but seldom appreciated effort in the literature, dating back at least to P. Hertz [Ann. Phys. (Leipzig) 33, 225 (1910)]. An apparently independent extension of such formalism for systems bearing additional first integrals of motion was recently proposed by Hans H. Rugh [Phys. Rev. E 64, 055101 (2001)], establishing the concept of adiabatic invariance even in such singular cases. After some remarks in connection with the formalism pioneered by Hertz, it will be suggested that such an extension can incidentally explain the success of a dynamical method for computing the entropy of classical interacting fluids, at least in some potential applications where the presence of additional first integrals cannot be ignored.

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