Contributions of plasma physics to chaos and nonlinear dynamics

Abstract

This topical review focusses on the contributions of plasma physics to chaos and nonlinear dynamics bringing new methods which are or can be used in other scientific domains. It starts with the development of the theory of Hamiltonian chaos, and then deals with order or quasi order, for instance adiabatic and soliton theories. It ends with a shorter account of dissipative and high dimensional Hamiltonian dynamics, and of quantum chaos. Most of these contributions are a spin-off of the research on thermonuclear fusion by magnetic confinement, which started in the fifties. Their presentation is both exhaustive and compact. [15 April 2016]

References in corpus (12)

• Long-Time Correlations in the Stochastic Regime
• Chimera states: The Existence Criteria Revisited
• Nonlinear dynamics of phase space zonal structures and energetic particle physics in fusion plasmas
• Thirty Years of Turnstiles and Transport
• Effect of Noise on the Standard Mapping
• Channelling chaos by building barriers
• When can Fokker-Planck Equation describe anomalous or chaotic transport?
• Contributions of plasma physics to chaos and nonlinear dynamics
• Study of the interplay between magnetic shear and resonances using Hamiltonian models for the magnetic field lines
• Pseudochaos and low-frequency percolation scaling for turbulent diffusion in magnetized plasma
• Global change in action due to trapping, how to derive it whatever the rate of variation of the dynamics
• Trajectory statistics and turbulence evolution

Cited by in corpus (10)

• Contributions of plasma physics to chaos and nonlinear dynamics
• Perspective on Reversible to Irreversible Transitions in Periodic Driven Many Body Systems and Future Directions For Classical and Quantum Systems
• Theory and discretization of ideal magnetohydrodynamic equilibria with fractal pressure profiles
• Analysis of adiabatic trapping phenomena for quasi-integrable area-preserving maps in the presence of time-dependent exciters
• Improved detection of chaos with Lagrangian descriptors using differential algebra
• A nontwist field line mapping in a tokamak with ergodic magnetic limiter
• Driven dust-charge fluctuation and chaotic ion dynamics in the plasma sheath and pre-sheath regions
• Particle momentum variation under interaction with wavepackets of finite spatial width
• Chaotic diffusion in multi-scale turbulence
• Numerical study of the Transverse Diffusion coefficient for a one component model of plasma