2010The Journal of Chemical PhysicsOpen access

Musings on thermostats

Denis J. Evans, Debra J. Searles, Stephen R. Williams

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Abstract

In 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.

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In 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.

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Available abstract

In 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.

Key concepts: Thermostat, Relaxation (psychology), Thermodynamics, Mathematics, Mathematical economics, Computer science, Physics, Psychology

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