Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2004-12-21
Physica A 365 (2006) 333-350
Nonlinear Sciences
Chaotic Dynamics
revised text, new references, 36 pages, 9 figures
Scientific paper
We study the energy flow between a one dimensional oscillator and a chaotic system with two degrees of freedom in the weak coupling limit. The oscillator's observables are averaged over an initially microcanonical ensemble of trajectories of the chaotic system, which plays the role of an environment for the oscillator. We show numerically that the oscillator's average energy exhibits irreversible dynamics and `thermal' equilibrium at long times. We use linear response theory to describe the dynamics at short times and we derive a condition for the absorption or dissipation of energy by the oscillator from the chaotic system. The equilibrium properties at long times, including the average equilibrium energies and the energy distributions, are explained with the help of statistical arguments. We also check that the concept of temperature defined in terms of the `volume entropy' agrees very well with these energy istributions.
Bonanca Marcus V. S.
de Aguiar Marcus A. M.
No associations
LandOfFree
Classical Dissipation and Asymptotic Equilibrium via Interaction with Chaotic Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Classical Dissipation and Asymptotic Equilibrium via Interaction with Chaotic Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classical Dissipation and Asymptotic Equilibrium via Interaction with Chaotic Systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-122015