Ergodic Time-Reversible Chaos for Gibbs' Canonical Oscillator
Abstract
Nos\'e's pioneering 1984 work inspired a variety of time-reversible deterministic thermostats. Though several groups have developed successful doubly-thermostated models, single-thermostat models have failed to generate Gibbs' canonical distribution for the one-dimensional harmonic oscillator. Sergi and Ferrario's 2001 doubly-thermostated model, claimed to be ergodic, has a singly-thermostated version. Though neither of these models is ergodic this work has suggested a successful route toward singly-thermostated ergodicity. We illustrate both ergodicity and its lack for these models using phase-space cross sections and Lyapunov instability as diagnostic tools.
Keywords
Cite
@article{arxiv.1503.06749,
title = {Ergodic Time-Reversible Chaos for Gibbs' Canonical Oscillator},
author = {William Graham Hoover and Julien Clinton Sprott and Puneet Kumar Patra},
journal= {arXiv preprint arXiv:1503.06749},
year = {2015}
}
Comments
Sixteen pages and six figures, originally intended for Physical Review E, version accepted by Physics Letters A