Poincare analysis of wave motion in ultrarelativistic electron-ion plasmas

Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)

DOI:https://doi.org/10.1103/PHYSREVE.83.036401· OSTI ID:21560074

Lehmann, G; Spatschek, K H ^[1]

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1. Institut fuer Theoretische Physik, Heinrich-Heine-Universitaet Duesseldorf D-40225 Duesseldorf (Germany)

Based on a relativistic Maxwell-fluid description, the existence of ultrarelativistic laser-induced periodic waves in an electron-ion plasma is investigated. Within a one-dimensional propagation geometry nonlinear coupling of the electromagnetic and electrostatic components occurs that makes the fourth-order problem nonintegrable. A Hamiltonian description is derived, and the manifolds of periodic solutions are studied by Poincare section plots. The influence of ion motion is investigated in different intensity regimes. For ultrarelativistic laser intensities the phase-space structures change significantly compared to the weakly relativistic case. Ion motion becomes very important such that finally electron-ion plasmas in the far-ultrarelativistic regime behave similarly to electron-positron plasmas. The characteristic new types of periodic solutions of the system are identified and discussed.

• OSTI ID: 21560074
• Journal Information: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print), Vol. 83, Issue 3; Other Information: DOI: 10.1103/PhysRevE.83.036401; (c) 2011 American Institute of Physics; ISSN 1539-3755
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COUPLING
ELECTROMAGNETIC INTERACTIONS
ELECTRON-ION COLLISIONS
ELECTRON-POSITRON COLLISIONS
ELECTROSTATICS
HAMILTONIANS
LASER-PRODUCED PLASMA
MATHEMATICAL SOLUTIONS
MAXWELL EQUATIONS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
PHASE SPACE
RELATIVISTIC RANGE
BASIC INTERACTIONS
COLLISIONS
DIFFERENTIAL EQUATIONS
ELECTRON COLLISIONS
ENERGY RANGE
EQUATIONS
INTERACTIONS
ION COLLISIONS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
POSITRON COLLISIONS
QUANTUM OPERATORS
SPACE