Chaos, ergodic convergence, and fractal instability for a thermostated canonical harmonic oscillator
Journal Article
·
· Physical Review E
The authors thermostat a qp harmonic oscillator using the two additional control variables {zeta} and {xi} to simulate Gibbs' canonical distribution. In contrast to the motion of purely Hamiltonian systems, the thermostated oscillator motion is completely ergodic, covering the full four-dimensional {l_brace}q,p,{zeta},{xi}{r_brace} phase space. The local Lyapunov spectrum (instantaneous growth rates of a comoving corotating phase-space hypersphere) exhibits singularities like those found earlier for Hamiltonian chaos, reinforcing the notion that chaos requires kinetic -- as opposed to statistical -- study, both at and away from equilibrium. The exponent singularities appear to have a fractal character.
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40205364
- Journal Information:
- Physical Review E, Journal Name: Physical Review E Journal Issue: 2 Vol. 63; ISSN 1063-651X
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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