Document Type
Article
Publication Date
10-1-2002
Publication Title
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Department
Department of Physics and Astronomy
Abstract
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.
DOI
10.1103/PhysRevE.66.047101
Dartmouth Digital Commons Citation
Adib, Artur D., "Adiabatic Invariance with First Integrals of Motion" (2002). Dartmouth Scholarship. 1997.
https://digitalcommons.dartmouth.edu/facoa/1997