Modelling relativistic solitary wave interactions in over-dense plasmas: a perturbed nonlinear Schröndinger equation framework

Siminos, Evangelos; Sánchez Arriaga, Gonzalo; Saxena, Vikrant y Kourakis, Ioannis (2014). Modelling relativistic solitary wave interactions in over-dense plasmas: a perturbed nonlinear Schröndinger equation framework. "Physical Review E", v. 90 (n. 6); pp.. ISSN 1539-3755. https://doi.org/10.1103/PhysRevE.90.063104.

Descripción

Título: Modelling relativistic solitary wave interactions in over-dense plasmas: a perturbed nonlinear Schröndinger equation framework
Autor/es:
  • Siminos, Evangelos
  • Sánchez Arriaga, Gonzalo
  • Saxena, Vikrant
  • Kourakis, Ioannis
Tipo de Documento: Artículo
Título de Revista/Publicación: Physical Review E
Fecha: 2014
Volumen: 90
Materias:
Escuela: E.T.S.I. Aeronáuticos (UPM) [antigua denominación]
Departamento: Física Aplicada a las Ingenierías Aeronáutica y Naval
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

We investigate the dynamics of localized solutions of the relativistic cold-fluid plasma model in the small but finite amplitude limit, for slightly overcritical plasma density. Adopting a multiple scale analysis, we derive a perturbed nonlinear Schrödinger equation that describes the evolution of the envelope of circularly polarized electromagnetic field. Retaining terms up to fifth order in the small perturbation parameter, we derive a self-consistent framework for the description of the plasma response in the presence of localized electromagnetic field. The formalism is applied to standing electromagnetic soliton interactions and the results are validated by simulations of the full cold-fluid model. To lowest order, a cubic nonlinear Schrödinger equation with a focusing nonlinearity is recovered. Classical quasiparticle theory is used to obtain analytical estimates for the collision time and minimum distance of approach between solitons. For larger soliton amplitudes the inclusion of the fifth-order terms is essential for a qualitatively correct description of soliton interactions. The defocusing quintic nonlinearity leads to inelastic soliton collisions, while bound states of solitons do not persist under perturbations in the initial phase or amplitude

Más información

ID de Registro: 35573
Identificador DC: http://oa.upm.es/35573/
Identificador OAI: oai:oa.upm.es:35573
Identificador DOI: 10.1103/PhysRevE.90.063104
URL Oficial: http://journals.aps.org/pre/issues/90/6
Depositado por: Memoria Investigacion
Depositado el: 19 Oct 2015 07:18
Ultima Modificación: 19 Oct 2015 07:41
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