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Ergodicity of One-dimensional Oscillators with a Signum Thermostat
Gibbs’canonicalensembledescribestheexponentialequilibriumdistributionf(q,p,T)∝e−H(q,p)/kT foran ergodic Hamiltonian system interacting with a ‘heat bath’ at temperature T . The simplest deterministic heat ba ...
Ergodicity of One-dimensional Systems Coupled to the Logistic Thermostat
We analyze the ergodicity of three one-dimensional Hamiltonian systems, with harmonic, quartic and Mexican-hat potentials, coupled to the logistic thermostat. As criteria for ergodicity we employ: the independence of the Lyapunov spectrum with respect to initial conditions; the absence of visual ...