| Issue |
Europhys. Lett.
Volume 59, Number 3, August 2002
|
|
|---|---|---|
| Page(s) | 319 - 323 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2002-00196-9 | |
| Published online | 01 September 2002 | |
Remarks on non-Hamiltonian statistical mechanics
Lawrence Livermore National Laboratory, University of
California P.O. Box 808, Livermore, CA 94551, USA
Received:
13
March
2002
Accepted:
4
May
2002
A previous brief summary of some basic relations in
non-Hamiltonian statistical mechanics (Ramshaw J. D.,
Phys. Lett. A, 116 (1986) 110) is generalized
to allow for an arbitrary time-dependent metric in phase space,
thereby permitting a comparison with the formulation of Tuckerman
et al. (TEA) (Europhys. Lett., 45 (1999) 149).
It is shown that a) the generalized Liouville equation (GLE) in
the earlier work is rigorously valid in general, and moreover is
completely equivalent to the GLE of TEA; and b) the
time-dependent metric factor 
in the volume form used
by TEA is itself a solution of the GLE, and consequently becomes
singular and unacceptable for systems with attractors in steady
state.
PACS: 05.20.-y – Classical statistical mechanics / 31.15.Qg – Molecular dynamics and other numerical methods
© EDP Sciences, 2002
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