Evans, Denis J.Searles, Debra J.Williams, Stephen R.2015-11-272015-11-270021-9606http://hdl.handle.net/1885/16880In 2005, Bright et al. gave numerical evidence that among the family of time reversible deterministic thermostats known as μ-thermostats, the conventional μ=1 thermostat proposed by Hoover and Evans is the only thermostat that is capable of generating an equilibrium state. Using the recently discovered relaxation theorem, we give a mathematical proof that this is true.http://www.sherpa.ac.uk/romeo/issn/0021-9606..."Publishers version/PDF may be used on author's personal website, institutional website or institutional repository" from SHERPA/RoMEO site (as at 27/11/15). Copyright 2010 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in The Journal of Chemical Physics and may be found at https://doi.org/10.1063/1.3486092molecular dynamics simulationtemperature2010-09-1010.1063/1.34860922015-12-10