Ergodicity of One-dimensional Oscillators with a Signum Thermostat

• Autorzy: Sprott J. C.

Identyfikatory

DOI

10.12921/cmst.2018.0000042

• Języki publikacji: EN

Abstrakty

EN

Gibbs’ canonical ensemble describes the exponential equilibrium distribution f(q; p; T) α e--H(q;p)/kT for an ergodic Hamiltonian system interacting with a ‘heat bath’ at temperature T. The simplest deterministic heat bath can be represented by a single ‘thermostat variable’ ζ. Ideally, this thermostat controls the kinetic energy so as to give the canonical distribution of the coordinates and momenta fq; pg. The most elegant thermostats are time-reversible and include the extra variable(s) needed to extract or inject energy. This paper describes a single-variable ‘signum thermostat.’ It is a limiting case of a recently proposed ‘logistic thermostat.’ It has a single adjustable parameter and can access all of Gibbs’ microstates for a wide variety of one-dimensional oscillators.

Słowa kluczowe

EN

signum thermostat; ergodicity; Gibbs’ ensemble; Nosé-Hoover system

• Wydawca: Institute of Bioorganic Chemistry Scientific Publishers OWN, Polish Academy of Sciences
• Czasopismo: Computational Methods in Science and Technology
• Rocznik: 2018
• Tom: Vol. 24, No. 3
• Strony: 169--176
• Opis fizyczny: Bibliogr. 19 poz., rys.

Twórcy

autor

Sprott J. C.

• Department of Physics University of Wisconsin-Madison Madison, Wisconsin 53706, USA

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).