Self Organized Criticality in an one dimensional magnetized grid. Application to GRB X-ray afterglows

Abstract

A simplified one dimensional grid is used to model the evolution of magnetized plasma flow. We implement diffusion laws similar to those so-far used to model magnetic reconnection with Cellular Automata. As a novelty, we also explicitly superimpose a background flow. The aim is to numerically investigate the possibility that Self-Organized Criticality appears in a one dimensional magnetized flow. The cellular automaton's cells store information about the parameter relevant to the evolution of the system being modelled. Under the assumption that this parameter stands for the magnetic field, the magnetic energy released by one volume during one individual relaxation event is also computed. Our results show that indeed in this system Self-Organized Criticality is established. The possible applications of this model to the study of the X-ray afterglows of GRBs is also briefly considered.

18 pages, 3 figures. Accepted for publication in Astrophys. Space Science. arXiv admin note: text overlap with arXiv:1308.1253, arXiv:astro-ph/9607070 by other authors

References in corpus (4)

• The Internal-Collision-Induced Magnetic Reconnection and Turbulence (ICMART) Model of Gamma-Ray Bursts
• X-Ray Flares from Postmerger Millisecond Pulsars
• Gamma Ray Bursts as Electromagnetic Outflows
• Multiwavelength observations of GRB 110731A: GeV emission from onset to afterglow

Cited by in corpus (4)

• Comprehensive study of the X-ray flares from gamma-ray bursts observed by Swift
• Statistical properties magnetar bursts and FRB 121102
• Statistical Distributions of Optical Flares from Gamma-Ray Bursts
• Self Organized Criticality in a two dimensional Cellular Automaton model of a magnetic flux tube with background flow