Research on Self-Generated Stochastic Motion

Abstract

The purpose of the research under this contract was to study the processes by which stochastic motion is self-generated in deterministic systems, and the consequences of the resulting stochasticity. We consider representative problems, each of which incorporates one or more of the main underlying physical phenomena. Two classes of phenomena that we have studied under this contract are diffusion across overlapping resonances, and diffusion along resonances, in more than two degrees of freedom (Arnold and modulation diffusion). The former has been studied in considerable depth, and new insights involve the fine structure of the phase space or more exact calculations. The latter phenomena still may have many poorly understood aspects. Keywords: Hamiltonian renormalization theory; Diffusion; Quasilinear theory; Stochastic heating mechanisms.

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Document Details

Document Type
Technical Report
Publication Date
Sep 30, 1988
Accession Number
ADA206454

Entities

People

  • A. J. Lichtenberg
  • M. A. Lieberman

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Coefficients
  • Contracts
  • Cyclotron Resonance
  • Delta Functions
  • Design Criteria
  • Diffusion
  • Diffusion Coefficient
  • Energy
  • Equations
  • Four Dimensional
  • Frequency
  • High Energy
  • Military Research
  • Numerical Integration
  • Particle Accelerators
  • Particles
  • Resonance

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Theoretical Analysis.

Technology Areas

  • Space