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Title: Relativistic plasma expansion with Maxwell-Juettner distribution

A self-similar analytical solution is proposed to describe the relativistic ion acceleration with the local Maxwell-Juettner relativistic distribution electrons. It is an alternative to the existing static model [M. Passoni and M. Lontano, Phys. Rev. Lett. 101, 115001 (2008)], which exploits a limited solution for the acceleration potential. With our model, the potential is finite naturally and has an upper limitation proportional to the square root of the electron temperature. The divergent potential in the non-relativistic case is the linear items of the Taylor expansion of that obtained relativistic one here. The energy distribution of ions and the dependence of the ion momentum on the acceleration time are obtained analytically. Maximum ion energy has an upper limitation decided by the finite potential difference. In the ultra-relativistic region, the ion energy at the ion front is proportional to t{sup 4/5} and the energy of the ions behind the ion front is proportional to t{sup 2/3} since the field there is shielded by the ions beyond them and the field at the ion front is the most intense.
Authors:
; ; ;  [1]
  1. China Institute of Atomic Energy, Beijing 102413 (China)
Publication Date:
OSTI Identifier:
22218445
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 20; Journal Issue: 11; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 43 PARTICLE ACCELERATORS; ACCELERATION; ACCELERATORS; ANALYTICAL SOLUTION; ELECTRON TEMPERATURE; ELECTRONS; ENERGY SPECTRA; ION TEMPERATURE; IONS; LIGHT TRANSMISSION; PLASMA EXPANSION; PLASMA GUNS; PLASMA POTENTIAL; POTENTIALS; RELATIVISTIC PLASMA