Extremum properties of the Gaussian thermostat

Sten Sarman, Denis J. Evans and András Baranyai

Physica A: Statistical Mechanics and its Applications, 1994, vol. 208, issue 2, 191-204

Abstract: We use nonequilibrium molecular dynamics computer simulation to explore a number of properties of the Gaussian thermostat. We show for a nonequilibrium system at a fixed state point, that within an infinite family of thermostats the Gaussian thermostat appears to: (i) minimise the largest Lyapunov exponent; (ii) maximise the smallest Lyapunov exponent; (iii) minimise the magnitude of the phase space compression; (iv) maximise the sum of the positive Lyapunov exponents and (v) maximise both the Kaplan-Yorke and the Mori dimensions of the system. We have recently proved, that among this family of thermostats, the Gaussian thermostat alone satisfies the conjugate pairing rule.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:208:y:1994:i:2:p:191-204

DOI: 10.1016/0378-4371(94)00026-3

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