On ergodicity for multidimensional harmonic oscillator systems with Nosé-Hoover-type thermostat
DOI10.1134/S1560354721020064zbMath1484.37003arXiv2008.07917OpenAlexW3141554470MaRDI QIDQ2058471
Kei Moritsugu, Yoshifumi Fukunishi, Ikuo Fukuda
Publication date: 9 December 2021
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.07917
ergodicitymolecular dynamicsthermostatinvariant spaceNosé-Hoover equationdensity dynamicsmultidimensional harmonic oscillatorNosé-mass matrix
Ergodicity, mixing, rates of mixing (37A25) Dynamical aspects of statistical mechanics (37A60) Molecular, statistical, and kinetic theories in solid mechanics (74A25)
Cites Work
- Molecular modeling and simulation. An interdisciplinary guide
- Non-ergodicity of the Nosé-Hoover thermostatted harmonic oscillator
- Roaming at constant kinetic energy: Chesnavich's model and the Hamiltonian isokinetic thermostat
- A gentle stochastic thermostat for molecular dynamics
- Thermostats for ``slow configurational modes
- Coupled Nosé–Hoover equations of motions without time scaling
- Double density dynamics: realizing a joint distribution of a physical system and a parameter system
- Deterministic thermostats, theories of nonequilibrium systems and parallels with the ergodic condition
- Ergodic theory of chaos and strange attractors
- Ergodic Properties of Markov Processes
- Symmetric, explicit numerical integrator for molecular dynamics equations of motion with a generalized friction
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