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Motion in a stochastic layer described by symbolic dynamics.

J. H. Misguich¹, J.-D. Reuss, Y. Elskens

¹Association Euratom-C.E.A. sur la Fusion, Centre d'Etudes de Cadarache, F-13108 Saint-Paul-lez-Durance Cedex, France.

Chaos (Woodbury, N.Y.)

|June 5, 2003

Summary

This summary is machine-generated.

This study models magnetic field line diffusion in tokamaks using a continuous time random walk (CTRW). Symbolic dynamics enables automatic CTRW data measurement, revealing subdiffusive transport behavior due to island sticking.

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Area of Science:

Plasma physics
Statistical mechanics
Dynamical systems

Background:

Tokamak magnetic field line diffusion is crucial for plasma confinement.
Previous work modeled this diffusion using a continuous time random walk (CTRW).
The CTRW described transitions between trapped and passing motion around magnetic islands.

Purpose of the Study:

To introduce a symbolic dynamics approach for analyzing motion in stochastic layers.
To enable automatic measurement of data required for CTRW construction.
To complete previous findings by analyzing long time series data.

Main Methods:

Utilizing the standard map to study motion in stochastic layers.
Applying symbolic dynamics for motion analysis.
Analyzing long time series data.

Main Results:

Symbolic dynamics provides a method for automatic CTRW parameter measurement.
The sticking property of magnetic islands leads to subdiffusive transport.
The analysis of long time series confirms and extends previous results.

Conclusions:

Symbolic dynamics offers an efficient tool for studying complex transport phenomena.
This approach enhances the understanding of magnetic field line diffusion in fusion devices.
The findings contribute to the development of more effective plasma confinement strategies.