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math.DS2008★ 44 cited
Non-ergodicity of Nose-Hoover dynamics
Frederic Legoll, Mitchell Luskin, Richard Moeckel
The numerical integration of the Nose-Hoover dynamics gives a deterministic method that is used to sample the canonical Gibbs measure. The Nose-Hoover dynamics extends the physical…
math.DS2005
Non-ergodicity of the Nose-Hoover Thermostatted Harmonic Oscillator
Frédéric Legoll, Mitchell Luskin, Richard Moeckel
The Nose-Hoover thermostat is a deterministic dynamical system designed for computing phase space integrals for the canonical Gibbs distribution. Newton's equations are modified by…