A full-angle Monte-Carlo scattering technique including cumulative and single-event Rutherford scattering in plasmas [Theory of cumulative large-angle collisions in plasmas]
Abstract
Here, we describe and justify a full-angle scattering (FAS) method to faithfully reproduce the accumulated differential angular Rutherford scattering probability distribution function (pdf) of particles in a plasma. The FAS method splits the scattering events into two regions. At small angles it is described by cumulative scattering events resulting, via the central limit theorem, in a Gaussian-like pdf; at larger angles it is described by single-event scatters and retains a pdf that follows the form of the Rutherford differential cross-section. The FAS method is verified using discrete Monte-Carlo scattering simulations run at small timesteps to include each individual scattering event. We identify the FAS regime of interest as where the ratio of temporal/spatial scale-of-interest to slowing-down time/length is from 10-3 to 0.3–0.7; the upper limit corresponds to Coulomb logarithm of 20–2, respectively. Two test problems, high-velocity interpenetrating plasma flows and keV-temperature ion equilibration, are used to highlight systems where including FAS is important to capture relevant physics.
- Publication Date:
- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- OSTI Identifier:
- 1406421
- Alternate Identifier(s):
- OSTI ID: 1406440; OSTI ID: 1495562
- Report Number(s):
- LLNL-JRNL-723778; LLNL-JRNL-722657
Journal ID: ISSN 0021-9991; TRN: US1703039
- Grant/Contract Number:
- AC52-07NA27344; 15-ERD-065; SCW1289
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Computational Physics
- Additional Journal Information:
- Journal Volume: 349; Journal Issue: C; Journal ID: ISSN 0021-9991
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; 70 PLASMA PHYSICS AND FUSION; Coulomb collisions; Large-angle collisions; Numerical methods; Monte-Carlo methods; Collisional plasma; Inertial confinement fusion
Citation Formats
Higginson, Drew P. A full-angle Monte-Carlo scattering technique including cumulative and single-event Rutherford scattering in plasmas [Theory of cumulative large-angle collisions in plasmas]. United States: N. p., 2017.
Web. doi:10.1016/j.jcp.2017.08.016.
Higginson, Drew P. A full-angle Monte-Carlo scattering technique including cumulative and single-event Rutherford scattering in plasmas [Theory of cumulative large-angle collisions in plasmas]. United States. https://doi.org/10.1016/j.jcp.2017.08.016
Higginson, Drew P. Sat .
"A full-angle Monte-Carlo scattering technique including cumulative and single-event Rutherford scattering in plasmas [Theory of cumulative large-angle collisions in plasmas]". United States. https://doi.org/10.1016/j.jcp.2017.08.016. https://www.osti.gov/servlets/purl/1406421.
@article{osti_1406421,
title = {A full-angle Monte-Carlo scattering technique including cumulative and single-event Rutherford scattering in plasmas [Theory of cumulative large-angle collisions in plasmas]},
author = {Higginson, Drew P.},
abstractNote = {Here, we describe and justify a full-angle scattering (FAS) method to faithfully reproduce the accumulated differential angular Rutherford scattering probability distribution function (pdf) of particles in a plasma. The FAS method splits the scattering events into two regions. At small angles it is described by cumulative scattering events resulting, via the central limit theorem, in a Gaussian-like pdf; at larger angles it is described by single-event scatters and retains a pdf that follows the form of the Rutherford differential cross-section. The FAS method is verified using discrete Monte-Carlo scattering simulations run at small timesteps to include each individual scattering event. We identify the FAS regime of interest as where the ratio of temporal/spatial scale-of-interest to slowing-down time/length is from 10-3 to 0.3–0.7; the upper limit corresponds to Coulomb logarithm of 20–2, respectively. Two test problems, high-velocity interpenetrating plasma flows and keV-temperature ion equilibration, are used to highlight systems where including FAS is important to capture relevant physics.},
doi = {10.1016/j.jcp.2017.08.016},
journal = {Journal of Computational Physics},
number = C,
volume = 349,
place = {United States},
year = {Sat Aug 12 00:00:00 EDT 2017},
month = {Sat Aug 12 00:00:00 EDT 2017}
}
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Works referenced in this record:
Theorie der Streuung schneller geladener Teilchen II Mehrfach-und Vielfachstreuung
journal, February 1948
- Moliere, Gert
- Zeitschrift für Naturforschung A, Vol. 3, Issue 2
Molière's Theory of Multiple Scattering
journal, March 1953
- Bethe, H. A.
- Physical Review, Vol. 89, Issue 6
Accurate condensed history Monte Carlo simulation of electron transport. I. EGS nrc, the new EGS4 version
journal, March 2000
- Kawrakow, I.
- Medical Physics, Vol. 27, Issue 3
Fifty years of Monte Carlo simulations for medical physics
journal, June 2006
- Rogers, D. W. O.
- Physics in Medicine and Biology, Vol. 51, Issue 13
Multiple Scattering of Electrons
journal, January 1940
- Goudsmit, S.; Saunderson, J. L.
- Physical Review, Vol. 57, Issue 1
ITS: the integrated TIGER series of electron/photon transport codes-Version 3.0
journal, January 1992
- Halbleib, J. A.; Kensek, R. P.; Valdez, G. D.
- IEEE Transactions on Nuclear Science, Vol. 39, Issue 4
A binary collision model for plasma simulation with a particle code
journal, November 1977
- Takizuka, Tomonor; Abe, Hirotada
- Journal of Computational Physics, Vol. 25, Issue 3
Theory of cumulative small-angle collisions in plasmas
journal, April 1997
- Nanbu, K.
- Physical Review E, Vol. 55, Issue 4
A review of Vlasov–Fokker–Planck numerical modeling of inertial confinement fusion plasma
journal, February 2012
- Thomas, A. G. R.; Tzoufras, M.; Robinson, A. P. L.
- Journal of Computational Physics, Vol. 231, Issue 3
Transition from Collisional to Collisionless Regimes in Interpenetrating Plasma Flows on the National Ignition Facility
journal, May 2017
- Ross, J. S.; Higginson, D. P.; Ryutov, D.
- Physical Review Letters, Vol. 118, Issue 18
Self-consistent inclusion of classical large-angle Coulomb collisions in plasma Monte Carlo simulations
journal, October 2015
- Turrell, A. E.; Sherlock, M.; Rose, S. J.
- Journal of Computational Physics, Vol. 299
Monte Carlo calculation of large and small-angle electron scattering in air
journal, November 2017
- Cohen, B. I.; Higginson, D. P.; Eng, C. D.
- Journal of Computational Physics, Vol. 349
Momentum relaxation of a charged particle by small-angle Coulomb collisions
journal, December 1997
- Nanbu, K.
- Physical Review E, Vol. 56, Issue 6
Understanding the accuracy of Nanbu’s numerical Coulomb collision operator
journal, July 2009
- Dimits, Andris M.; Wang, Chiaming; Caflisch, Russel
- Journal of Computational Physics, Vol. 228, Issue 13
Particle simulation of Coulomb collisions: Comparing the methods of Takizuka & Abe and Nanbu
journal, April 2008
- Wang, Chiaming; Lin, Tungyou; Caflisch, Russel
- Journal of Computational Physics, Vol. 227, Issue 9
Implementation of an non-iterative implicit electromagnetic field solver for dense plasma simulation
journal, December 2004
- Welch, D. R.; Rose, D. V.; Clark, R. E.
- Computer Physics Communications, Vol. 164, Issue 1-3
Interpreting inertial fusion neutron spectra
journal, February 2016
- Munro, David H.
- Nuclear Fusion, Vol. 56, Issue 3
The production spectrum in fusion plasmas
journal, February 2011
- Appelbe, B.; Chittenden, J.
- Plasma Physics and Controlled Fusion, Vol. 53, Issue 4
Works referencing / citing this record:
Kinetic effects on neutron generation in moderately collisional interpenetrating plasma flows
journal, January 2019
- Higginson, D. P.; Ross, J. S.; Ryutov, D. D.
- Physics of Plasmas, Vol. 26, Issue 1
Kinetic physics in ICF: present understanding and future directions
journal, April 2018
- Rinderknecht, Hans G.; Amendt, P. A.; Wilks, S. C.
- Plasma Physics and Controlled Fusion, Vol. 60, Issue 6