Thermostats: Analysis and application.

@article{Morriss1998ThermostatsAA,
  title={Thermostats: Analysis and application.},
  author={Gary P. Morriss and Carl P. Dettmann},
  journal={Chaos},
  year={1998},
  volume={8 2},
  pages={
          321-336
        }
}
Gaussian isokinetic and isoenergetic deterministic thermostats are reviewed in the correct historical context with their later justification using Gauss' principle of least constraint. The Nose-Hoover thermostat for simulating the canonical ensemble is also developed. For some model systems the Lyapunov exponents satisfy the conjugate pairing rule and a Hamiltonian formulation is obtained. We prove the conjugate pairing rule for nonequilibrium systems where the force is derivable from a… 

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