skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Fluid simulation studies of the dynamical behavior of one-dimensional relativistic electromagnetic solitons

Abstract

A numerical fluid simulation investigation of the temporal evolution of a special class of traveling wave solutions of the one-dimensional relativistic cold plasma model is reported. The solutions consist of coupled electromagnetic and plasma waves in a solitary pulse shape [Sov. Phys. JETP 49, 75 (1979); Phys. Rev. Lett. 68, 3172 (1992); Phys. Plasmas 9, 1820 (2002)]. Issues pertaining to their stability, mutual collisional interactions, and propagation in an inhomogeneous plasma medium are addressed. It is found that solitary pulses that consist of a single light peak trapped in a modulated density structure are long-lived whereas structures with multiple peaks of trapped light develop an instability at the trailing edge. The interaction properties of two single peak structures show interesting dependencies on their relative amplitudes and propagation speeds and can be understood in terms of their propagation characteristics in an inhomogeneous plasma medium.

Authors:
; ; ;  [1]
  1. Institute for Plasma Research, Bhat, Gandhinagar 382428 (India)
Publication Date:
OSTI Identifier:
20782552
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 13; Journal Issue: 3; Other Information: DOI: 10.1063/1.2187447; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AMPLITUDES; COLD PLASMA; ELECTRON COLLISIONS; INHOMOGENEOUS PLASMA; ION COLLISIONS; MATHEMATICAL SOLUTIONS; ONE-DIMENSIONAL CALCULATIONS; PLASMA DENSITY; PLASMA INSTABILITY; PLASMA SIMULATION; PLASMA WAVES; PULSE SHAPERS; PULSES; RELATIVISTIC PLASMA; RELATIVISTIC RANGE; SOLITONS; TRAPPING; TRAVELLING WAVES

Citation Formats

Saxena, Vikrant, Das, Amita, Sen, Abhijit, and Kaw, Predhiman. Fluid simulation studies of the dynamical behavior of one-dimensional relativistic electromagnetic solitons. United States: N. p., 2006. Web. doi:10.1063/1.2187447.
Saxena, Vikrant, Das, Amita, Sen, Abhijit, & Kaw, Predhiman. Fluid simulation studies of the dynamical behavior of one-dimensional relativistic electromagnetic solitons. United States. doi:10.1063/1.2187447.
Saxena, Vikrant, Das, Amita, Sen, Abhijit, and Kaw, Predhiman. Wed . "Fluid simulation studies of the dynamical behavior of one-dimensional relativistic electromagnetic solitons". United States. doi:10.1063/1.2187447.
@article{osti_20782552,
title = {Fluid simulation studies of the dynamical behavior of one-dimensional relativistic electromagnetic solitons},
author = {Saxena, Vikrant and Das, Amita and Sen, Abhijit and Kaw, Predhiman},
abstractNote = {A numerical fluid simulation investigation of the temporal evolution of a special class of traveling wave solutions of the one-dimensional relativistic cold plasma model is reported. The solutions consist of coupled electromagnetic and plasma waves in a solitary pulse shape [Sov. Phys. JETP 49, 75 (1979); Phys. Rev. Lett. 68, 3172 (1992); Phys. Plasmas 9, 1820 (2002)]. Issues pertaining to their stability, mutual collisional interactions, and propagation in an inhomogeneous plasma medium are addressed. It is found that solitary pulses that consist of a single light peak trapped in a modulated density structure are long-lived whereas structures with multiple peaks of trapped light develop an instability at the trailing edge. The interaction properties of two single peak structures show interesting dependencies on their relative amplitudes and propagation speeds and can be understood in terms of their propagation characteristics in an inhomogeneous plasma medium.},
doi = {10.1063/1.2187447},
journal = {Physics of Plasmas},
number = 3,
volume = 13,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}
  • We investigate charge transport in one-dimensional arrays of Josephson junctions. In the interesting regime of ''small charge solitons'' (polarons), {Lambda}E{sub J}>E{sub C}>E{sub J}, where {Lambda} is the (electrostatic) screening length, the charge dynamics are strongly influenced by the polaronic effects (i.e., by dressing of a Cooper pair by charge dipoles). In particular, the soliton's mass in this regime scales approximately as E{sub J}{sup -2}. We employ two theoretical techniques: the many-body tight-binding approach and the mean-field approach, and the results of the two approaches agree in the regime of ''small charge solitons.'' Renormalization of the soliton's mass could be observed;more » for example, as enhancement of the persistent current in a ring-shaped array.« less
  • Starting from a nonlinear relativistic Klein-Gordon equation derived from the stochastic interpretation of quantum mechanics (proposed by Bohm-Vigier, Nelson, de Broglie, Guerra et al.), one can construct joint wave and particle, soliton-like solutions, which follow the average de Broglie-Bohm real trajectories associated with linear solutions of the usual Schroedinger and Klein-Gordon equations.
  • The one-dimensional dynamics of trapped relativistic electromagnetic radiation, which appears during laser plasma interaction, is investigated within a relativistic fluid-Maxwell model. The modifications of plasma density due to trapped laser fields are considered for linear as well as circular polarizations. It is shown that standing (V=0) solitons are stable on the electron time scale. However, the stability region does not agree with the prediction from the Vakhitov-Kolokolov criterion. Ions always drive the standing solitons unstable, irrespective of the polarization. The stability of moving (0<V<c) solitons, which have been obtained in the literature as stationary solutions of the fluid-Maxwell equations includingmore » ion dynamics, is demonstrated. The problem of soliton generation is addressed. The time evolution of the so called post-solitons, which are generated behind a broad laser pulse propagating in underdense plasma, is analyzed. The effect of finite electron and ion temperatures is briefly discussed.« less
  • We report on a recently developed electromagnetic relativistic 1D3V (one spatial, three velocity dimensions) Particle-In-Cell code for simulating laser-plasma interaction at normal and oblique incidence. The code is written in C++ and easy to extend. The data structure is characterized by the use of chained lists for the grid cells as well as particles belonging to one cell. The parallel version of the code is based on PVM. It splits the grid into several spatial domains each belonging to one processor. Since particles can cross boundaries of cells as well as domains, the processor loads will generally change in time.more » This is counteracted by adjusting the domain sizes dynamically, for which the use of chained lists has proven to be very convenient. Moreover, an option for restarting the simulation from intermediate stages of the time evolution has been implemented even in the parallel version. The code will be published and distributed freely.« less
  • A one-dimensional model framework is used in a rigorous linear analysis of an instability of a linearly polarised electromagnetic wave of relativistic intensity. It is shown that, in a plasma, this wave is not monochromatic but represents a flux of photons with frequencies shifted by a multiple of the plasma frequency. In the relativistic intensity range an instability gives rise to Raman scattering by plasmons. The centre of the gain line for a specific harmonic is influenced by a hydrodynamic analogue of the Compton effect, the far wings of the gain line are the results of generation of the Langmuirmore » noise, and the gain line profile depends on the intensity of a reference wave. (interaction of laser radiation with matter. laser plasma)« less