Research on Self-Generated Stochastic Motion.
Abstract
Basic problems in statistical physics are treated, with particular emphasis given to self-generated stochasticity for dynamical motion in two or more degrees of freedom. The basic procedure is to apply the modern theory of the destruction of invariants, the transition to stochastic motion, and statistical descriptions of stochastic motion. The theory is compared with numerical experiments using mapping approximations, which are iterated for hundreds of thousands of mapping periods on high speed computers. Particular problems treated are the fine structure of phase space, effects of higher dimensionality including Arnold diffusion, modulational diffusion, and the interaction between extrinsic stochasticity and resonances.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1984
- Accession Number
- ADA144093
Entities
People
- A. J. Lichtenberg
- M. A. Lieberman
Organizations
- University of California, Berkeley