@article{6fb32e35aee7464a88b33553bea6c187,
title = "Time-reversible deterministic thermostats",
abstract = "Seven different time-reversible deterministic thermostats are considered here and applied to a simple particle-based nonequilibrium heat-flow problem. This approach is robust. Results for all these different thermostats agree rather well for system widths of ten particle diameters or more. The simplest of the thermostats is the Gauss-Nos{\'e}-Hoover thermostat, based on kinetic-energy control. Higher moments of the particle momenta can be controlled by extensions of this idea involving as many as three additional thermostat variables. Generalizations of the deterministic thermostats suited to simulating {"}stochastic{"} and {"}Brownian{"} dynamics are discussed here too.",
keywords = "Heat flow, Molecular dynamics, Nonequilibrium, Thermostats",
author = "Hoover, {Wm G.} and Kenichiro Aoki and Hoover, {Carol G.} and {De Groot}, {Stephanie V.}",
note = "Funding Information: This work was performed under the auspices of the United States Department of Energy through University of California Contract W-7405-Eng-48. SdG{\textquoteright}s work at Livermore was supported by a research apprenticeship in engineering grant from the Academy of Applied Science (Concord, New Hampshire). We very much appreciate the interest and encouragement of Aurel Bulgac, Dimitri Kusnezov, Harald Posch, Henk van Beijeren. Rainer Klages, Bob Dorfman, and Pierre Gaspard. Henk, Rainer, Bob, and Pierre helped to organize the International Workshop and Seminar on Microscopic Chaos and Transport in Many-Particle Systems (Dresden, August 2002) where this work was first discussed. At that same meeting several of our colleagues—Werner Ebeling, Denis Evans, Dennis Isbister, and Rainer Klages—presented work on thermostatted system from their own points of view. We were happy to have the opportunity to discuss thermostats with all of these colleagues, and recommend that the reader consult their contributions to these proceedings for a more comprehensive view of the field.",
year = "2004",
month = jan,
day = "1",
doi = "10.1016/j.physd.2003.09.016",
language = "English",
volume = "187",
pages = "253--267",
journal = "Physica D: Nonlinear Phenomena",
issn = "0167-2789",
publisher = "Elsevier",
number = "1-4",
}