Particle-in-cell simulation of transport and energy deposition of intense proton beams in solid-state materials

D. Wu, W. Yu, Y. T. Zhao, D. H. H. Hoffmann, S. Fritzsche, and X. T. He
Phys. Rev. E 100, 013208 – Published 26 July 2019

Abstract

A particle-in-cell (PIC) simulation code is used to investigate the transport and energy deposition of an intense proton beam in solid-state material. This code is able to simulate close particle interactions by using a Monte Carlo binary collision model. Such a model takes into account all related interactions between the incident protons and material particles, e.g., proton-nucleus, proton–bound-electron, and proton–free-electron collisions. This code also includes a Monte Carlo model for the collisional ionization and electron-ion recombination as well as the depression of the ionization potential by shielding of surrounding particles. Moreover, for intense proton beams, in order to include collective electromagnetic effects, significantly speed up the simulation, and simultaneously avoid numerical instabilities, an approach that combines the PIC method with a reduced model of high-density plasma based on Ohm's law is used. Simulation results indicate that the collective electromagnetic effects have a significant influence on the transport and energy deposition of proton beams. The Ohmic electric field would increase the stopping power and leads to a shortened range of proton beams in solid. The magnetic field would localize the energy deposition by collimating proton beams, which would otherwise be deflected by the collisions with nuclei.

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  • Received 13 May 2019
  • Revised 30 June 2019

DOI:https://doi.org/10.1103/PhysRevE.100.013208

©2019 American Physical Society

Physics Subject Headings (PhySH)

Plasma Physics

Authors & Affiliations

D. Wu1,*, W. Yu2, Y. T. Zhao3,†, D. H. H. Hoffmann3, S. Fritzsche4,5, and X. T. He6

  • 1Institute for Fusion Theory and Simulation, Department of Physics, Zhejiang University, 310058 Hangzhou, China
  • 2Shanghai Institute of Optics and Fine Mechanics, 201800 Shanghai, China
  • 3School of Science, Xi'an Jiaotong University, 710049 Xi'an, China
  • 4Helmholtz Institut Jena, 07743 Jena, Germany
  • 5Theoretisch-Physikalisches Institut, Friedrich-Schiller-University Jena, 07743 Jena, Germany
  • 6Key Laboratory of HEDP of the Ministry of Education, CAPT, and State Key Laboratory of Nuclear Physics and Technology, Peking University, 100871 Beijing, China

  • *dwu.phys@zju.edu.cn
  • zhaoyongtao@xjtu.edu.cn

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Vol. 100, Iss. 1 — July 2019

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