A generalized Boltzmann kinetic theory for strongly magnetized plasmas with application to friction

Jose, Louis; Baalrud, Scott D.

doi:10.1063/5.0025158

A generalized Boltzmann kinetic theory for strongly magnetized plasmas with application to friction

Journal Article · Mon Nov 02 00:00:00 EST 2020 · Physics of Plasmas

DOI:https://doi.org/10.1063/5.0025158· OSTI ID:1777880

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Univ. of Iowa, Iowa City, IA (United States); University of Michigan
Univ. of Iowa, Iowa City, IA (United States)

Coulomb collisions in plasmas are typically modeled using the Boltzmann collision operator, or its variants, which apply to weakly magnetized plasmas in which the typical gyroradius of particles significantly exceeds the Debye length. Conversely, O’Neil has developed a kinetic theory to treat plasmas that are so strongly magnetized that the typical gyroradius of particles is much smaller than the distance of the closest approach in a binary collision. Here, we develop a generalized collision operator that applies across the full range of magnetization strength. Since there is no closed-form solution for the scattering cross section when plasma is strongly magnetized, the input to the collision operator is obtained by numerically calculating particle trajectories. To demonstrate novel physics associated with strong magnetization, it is used to compute the friction force on a massive test charge. In addition to the traditional stopping power component, this is found to exhibit a transverse component that is perpendicular to both the velocity and Lorentz force vectors in the strongly magnetized regime, as was predicted recently using linear response theory. As a result, good agreement is found between the collision theory and linear response theory in the regime in which both apply, but the new collision theory also applies to stronger magnetization strength regimes than the linear response theory is expected to apply in.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Iowa, Iowa City, IA (United States)

Sponsoring Organization:: National Science Foundation; USDOE; USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Grant/Contract Number:: SC0016159

OSTI ID:: 1777880

Alternate ID(s):: OSTI ID: 1698047

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 11 Vol. 27; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (38)

Stopping power for arbitrary angle between test particle velocity and magnetic field Cereceda, Carlo; de Peretti, Michel; Deutsch, Claude Physics of Plasmas, Vol. 12, Issue 2 https://doi.org/10.1063/1.1848545	journal	February 2005
Fokker-Planck coefficients for a magnetized ion-electron plasma Cohen, S.; Sarid, E.; Gedalin, M. Physics of Plasmas, Vol. 25, Issue 1 https://doi.org/10.1063/1.5009284	journal	January 2018
Effects of Coulomb coupling on stopping power and a link to macroscopic transport Bernstein, David J.; Baalrud, Scott D.; Daligault, Jérôme Physics of Plasmas, Vol. 26, Issue 8 https://doi.org/10.1063/1.5095419	journal	August 2019
Mean force kinetic theory: A convergent kinetic theory for weakly and strongly coupled plasmas Baalrud, Scott D.; Daligault, Jérôme Physics of Plasmas, Vol. 26, Issue 8 https://doi.org/10.1063/1.5095655	journal	August 2019
Plasma heating by energetic particles Sigmar, D. J.; Joyce, G. Nuclear Fusion, Vol. 11, Issue 5 https://doi.org/10.1088/0029-5515/11/5/006	journal	October 1971
SciPy 1.0: fundamental algorithms for scientific computing in Python Virtanen, Pauli; Gommers, Ralf; Oliphant, Travis E. Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.64134	text	January 2020
Extending plasma transport theory to strong coupling through the concept of an effective interaction potential Baalrud, Scott; Daligault, Jerome arXiv https://doi.org/10.48550/arxiv.1403.1882	text	January 2014
On the H-theorem for polyatomic gases Cercignani, Carlo; Lampis, Maria Journal of Statistical Physics, Vol. 26, Issue 4 https://doi.org/10.1007/BF01010940	journal	December 1981
A new algorithm for adaptive multidimensional integration Peter Lepage, G. Journal of Computational Physics, Vol. 27, Issue 2 https://doi.org/10.1016/0021-9991(78)90004-9	journal	May 1978
SciPy 1.0: fundamental algorithms for scientific computing in Python Virtanen, Pauli; Gommers, Ralf; Oliphant, Travis E. Nature Methods https://doi.org/10.1038/s41592-019-0686-2	journal	February 2020
Magnetic field dependence of plasma relaxation times Montgomery, David Physics of Fluids, Vol. 17, Issue 12 https://doi.org/10.1063/1.1694692	journal	January 1974
Fokker-Planck equation for a plasma in a magnetic field Montgomery, David Physics of Fluids, Vol. 17, Issue 5 https://doi.org/10.1063/1.1694836	journal	January 1974
Kinetic Equation with a Constant Magnetic Field Rostoker, Norman Physics of Fluids, Vol. 3, Issue 6 https://doi.org/10.1063/1.1706158	journal	January 1960
Effects of magnetic field on anisotropic temperature relaxation Dong, Chao; Ren, Haijun; Cai, Huishan Physics of Plasmas, Vol. 20, Issue 3 https://doi.org/10.1063/1.4795728	journal	March 2013
Temperature relaxation in a magnetized plasma Dong, Chao; Ren, Haijun; Cai, Huishan Physics of Plasmas, Vol. 20, Issue 10 https://doi.org/10.1063/1.4827206	journal	October 2013
Extending plasma transport theory to strong coupling through the concept of an effective interaction potential Baalrud, Scott D.; Daligault, Jérôme Physics of Plasmas, Vol. 21, Issue 5 https://doi.org/10.1063/1.4875282	journal	May 2014
Parallel velocity diffusion and slowing-down rate from long-range collisions in a magnetized plasma Dubin, Daniel H. E. Physics of Plasmas, Vol. 21, Issue 5 https://doi.org/10.1063/1.4876749	journal	May 2014
Effective potential kinetic theory for strongly coupled plasmas Baalrud, Scott D.; Daligault, Jérôme 30TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS: RGD 30, AIP Conference Proceedings https://doi.org/10.1063/1.4967627	conference	January 2016
Collisional relaxation of a strongly magnetized ion-electron plasma Cohen, S.; Sarid, E.; Gedalin, M. Physics of Plasmas, Vol. 26, Issue 8 https://doi.org/10.1063/1.5109965	journal	August 2019
Plasma and trap-based techniques for science with antimatter Fajans, J.; Surko, C. M. Physics of Plasmas, Vol. 27, Issue 3 https://doi.org/10.1063/1.5131273	journal	March 2020
Collisional equipartition rate for a magnetized pure electron plasma Glinsky, Michael E.; O’Neil, Thomas M.; Rosenbluth, Marshall N. Physics of Fluids B: Plasma Physics, Vol. 4, Issue 5 https://doi.org/10.1063/1.860124	journal	May 1992
Collision operator for a strongly magnetized pure electron plasma O’Neil, T. M. Physics of Fluids, Vol. 26, Issue 8 https://doi.org/10.1063/1.864394	journal	January 1983
Collisional dynamics of a strongly magnetized pure electron plasma O’Neil, T. M.; Hjorth, P. G. Physics of Fluids, Vol. 28, Issue 11 https://doi.org/10.1063/1.865322	journal	January 1985
The ITER design Aymar, R.; Barabaschi, P.; Shimomura, Y. Plasma Physics and Controlled Fusion, Vol. 44, Issue 5 https://doi.org/10.1088/0741-3335/44/5/304	journal	April 2002
Magnetized dusty plasmas: the next frontier for complex plasma research Thomas, E.; Merlino, R. L.; Rosenberg, M. Plasma Physics and Controlled Fusion, Vol. 54, Issue 12 https://doi.org/10.1088/0741-3335/54/12/124034	journal	November 2012
Transverse force induced by a magnetized wake Lafleur, Trevor; Baalrud, Scott D. Plasma Physics and Controlled Fusion, Vol. 61, Issue 12 https://doi.org/10.1088/1361-6587/ab45d4	journal	October 2019
Friction in a strongly magnetized neutral plasma Lafleur, Trevor; Baalrud, Scott D. Plasma Physics and Controlled Fusion, Vol. 62, Issue 9 https://doi.org/10.1088/1361-6587/ab9bea	journal	July 2020
Friction force in strongly magnetized plasmas Bernstein, David J.; Lafleur, Trevor; Daligault, Jérôme Physical Review E, Vol. 102, Issue 4 https://doi.org/10.1103/PhysRevE.102.041201	journal	October 2020
Stopping power of ions in a magnetized two-temperature plasma Nersisyan, H. B.; Walter, M.; Zwicknagel, G. Physical Review E, Vol. 61, Issue 6 https://doi.org/10.1103/PhysRevE.61.7022	journal	June 2000
Energy loss of ions in a magnetized plasma: Conformity between linear response and binary collision treatments Nersisyan, H. B.; Zwicknagel, G.; Toepffer, C. Physical Review E, Vol. 67, Issue 2 https://doi.org/10.1103/PhysRevE.67.026411	journal	February 2003
Binary collisions of charged particles in a magnetic field Nersisyan, H. B.; Zwicknagel, G. Physical Review E, Vol. 79, Issue 6 https://doi.org/10.1103/PhysRevE.79.066405	journal	June 2009
Transport regimes spanning magnetization-coupling phase space Baalrud, Scott D.; Daligault, Jérôme Physical Review E, Vol. 96, Issue 4 https://doi.org/10.1103/PhysRevE.96.043202	journal	October 2017
Ultracold Plasma Expansion in a Magnetic Field Zhang, X. L.; Fletcher, R. S.; Rolston, S. L. Physical Review Letters, Vol. 100, Issue 23 https://doi.org/10.1103/PhysRevLett.100.235002	journal	June 2008
Effective Potential Theory for Transport Coefficients across Coupling Regimes Baalrud, Scott D.; Daligault, Jérôme Physical Review Letters, Vol. 110, Issue 23 https://doi.org/10.1103/PhysRevLett.110.235001	journal	June 2013
Molecular Dynamics Simulations of Classical Stopping Power Grabowski, Paul E.; Surh, Michael P.; Richards, David F. Physical Review Letters, Vol. 111, Issue 21 https://doi.org/10.1103/PhysRevLett.111.215002	journal	November 2013
Electron Fokker-Planck Equation for Collisions with Ions in a Magnetized Plasma Ware, A. A. Physical Review Letters, Vol. 62, Issue 1 https://doi.org/10.1103/PhysRevLett.62.51	journal	January 1989
Measurement of collisional anisotropic temperature relaxation in a strongly magnetized pure electron plasma Beck, B. R.; Fajans, J.; Malmberg, J. H. Physical Review Letters, Vol. 68, Issue 3 https://doi.org/10.1103/PhysRevLett.68.317	journal	January 1992
Test Particle Diffusion and the Failure of Integration along Unperturbed Orbits Dubin, Daniel H. E. Physical Review Letters, Vol. 79, Issue 14 https://doi.org/10.1103/PhysRevLett.79.2678	journal	October 1997

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