Structure-preserving second-order integration of relativistic charged particle trajectories in electromagnetic fields

Higuera, A. V.; Cary, J. R.

doi:10.1063/1.4979989

Title: Structure-preserving second-order integration of relativistic charged particle trajectories in electromagnetic fields

Abstract

Time-centered, hence second-order, methods for integrating the relativistic momentum of charged particles in an electromagnetic field are derived.

Authors:

Higuera, A. V. ^[1];

^[1]

Tech-X Corporation, Boulder, CO (United States); Univ. of Colorado, Boulder, CO (United States)

Publication Date:: Mon Apr 24 00:00:00 EDT 2017

Research Org.:: Univ. of Colorado, Boulder, CO (United States)

Sponsoring Org.:: USDOE Office of Secretary of Energy (S); USDOE Office of Science (SC)

OSTI Identifier:: 1465741

Alternate Identifier(s):: OSTI ID: 1361816

Grant/Contract Number:: SC0012584

Resource Type:: Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Volume: 24; Journal Issue: 5; Journal ID: ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats


                    Higuera, A. V., and Cary, J. R. Structure-preserving second-order integration of relativistic charged particle trajectories in electromagnetic fields.  United States: N. p., 2017. 
Web.  doi:10.1063/1.4979989.

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                    Higuera, A. V., & Cary, J. R. Structure-preserving second-order integration of relativistic charged particle trajectories in electromagnetic fields.  United States.  https://doi.org/10.1063/1.4979989

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                    Higuera, A. V., and Cary, J. R. Mon .  
"Structure-preserving second-order integration of relativistic charged particle trajectories in electromagnetic fields".  United States.  https://doi.org/10.1063/1.4979989.  https://www.osti.gov/servlets/purl/1465741.

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@article{osti_1465741,

  title        = {Structure-preserving second-order integration of relativistic charged particle trajectories in electromagnetic fields},

  author       = {Higuera, A. V. and Cary, J. R.},

  abstractNote = {Time-centered, hence second-order, methods for integrating the relativistic momentum of charged particles in an electromagnetic field are derived.},

  doi          = {10.1063/1.4979989},

  journal      = {Physics of Plasmas},

  number       = 5,

  volume       = 24,

  place        = {United States},

  year         = {Mon Apr 24 00:00:00 EDT 2017},

  month        = {Mon Apr 24 00:00:00 EDT 2017}

}

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Works referenced in this record:

Why is Boris algorithm so good?
journal, August 2013

Qin, Hong; Zhang, Shuangxi; Xiao, Jianyuan
Physics of Plasmas, Vol. 20, Issue 8
DOI: 10.1063/1.4818428

Volume-preserving algorithm for secular relativistic dynamics of charged particles
journal, April 2015

Zhang, Ruili; Liu, Jian; Qin, Hong
Physics of Plasmas, Vol. 22, Issue 4
DOI: 10.1063/1.4916570

Select Advances in Computational Accelerator Physics
journal, April 2016

Cary, John R.; Abell, Dan T.; Bell, George I.
IEEE Transactions on Nuclear Science, Vol. 63, Issue 2
DOI: 10.1109/TNS.2015.2500686

Construction of higher order symplectic integrators
journal, November 1990

Yoshida, Haruo
Physics Letters A, Vol. 150, Issue 5-7
DOI: 10.1016/0375-9601(90)90092-3

An Explicit Symplectic Integration Scheme for Plasma Simulations
journal, July 1993

Cary, J. R.; Doxas, I.
Journal of Computational Physics, Vol. 107, Issue 1
DOI: 10.1006/jcph.1993.1127

VORPAL: a versatile plasma simulation code
journal, May 2004

Nieter, Chet; Cary, John R.
Journal of Computational Physics, Vol. 196, Issue 2
DOI: 10.1016/j.jcp.2003.11.004

Simulation of beams or plasmas crossing at relativistic velocity
journal, May 2008

Vay, J. -L.
Physics of Plasmas, Vol. 15, Issue 5
DOI: 10.1063/1.2837054

A Can0nical Integrati0n Technique
journal, August 1983

Ruth, Ronald D.
IEEE Transactions on Nuclear Science, Vol. 30, Issue 4
DOI: 10.1109/TNS.1983.4332919

A symplectic integration algorithm for separable Hamiltonian functions
journal, January 1991

Candy, J.; Rozmus, W.
Journal of Computational Physics, Vol. 92, Issue 1
DOI: 10.1016/0021-9991(91)90299-Z

Efficiency of a Boris-like integration scheme with spatial stepping
journal, September 2002

Stoltz, P. H.; Cary, J. R.; Penn, G.
Physical Review Special Topics - Accelerators and Beams, Vol. 5, Issue 9
DOI: 10.1103/PhysRevSTAB.5.094001

Fourth-order symplectic integration
journal, May 1990

Forest, Etienne; Ruth, Ronald D.
Physica D: Nonlinear Phenomena, Vol. 43, Issue 1
DOI: 10.1016/0167-2789(90)90019-L

Plasma Physics via Computer Simulation
book, January 1991

Birdsall, C. K.; Langdon, A. B.
DOI: 10.1201/9781315275048

Works referencing / citing this record:

Relativistic extension of a charge-conservative finite element solver for time-dependent Maxwell-Vlasov equations
journal, January 2018

Na, D. -Y.; Moon, H.; Omelchenko, Y. A.
Physics of Plasmas, Vol. 25, Issue 1
DOI: 10.1063/1.5004557

On the Boris solver in particle-in-cell simulation
journal, November 2018

Zenitani, Seiji; Umeda, Takayuki
Physics of Plasmas, Vol. 25, Issue 11
DOI: 10.1063/1.5051077

Extreme nonlinear dynamics in vacuum laser acceleration with a crossed beam configuration
journal, September 2019

Robinson, A. P. L.; Tangtartharakul, K.; Weichman, K.
Physics of Plasmas, Vol. 26, Issue 9
DOI: 10.1063/1.5115993

Preplasma effects on laser ion generation from thin foil targets
journal, January 2020

Hadjisolomou, P.; Tsygvintsev, I. P.; Sasorov, P.
Physics of Plasmas, Vol. 27, Issue 1
DOI: 10.1063/1.5124457

The particle tracking code BBCNI for large negative ion beams and their diagnostics
journal, September 2019

Hurlbatt, A.; den Harder, N.; Wünderlich, D.
Plasma Physics and Controlled Fusion, Vol. 61, Issue 10
DOI: 10.1088/1361-6587/ab3c13

On the origin of jet-like features in bow shock pulsar wind nebulae
journal, October 2019

Olmi, B.; Bucciantini, N.
Monthly Notices of the Royal Astronomical Society, Vol. 490, Issue 3
DOI: 10.1093/mnras/stz2819

A Comprehensive Comparison of Relativistic Particle Integrators
journal, March 2018

Ripperda, B.; Bacchini, F.; Teunissen, J.
The Astrophysical Journal Supplement Series, Vol. 235, Issue 1
DOI: 10.3847/1538-4365/aab114

Generalized, Energy-conserving Numerical Simulations of Particles in General Relativity. I. Time-like and Null Geodesics
journal, July 2018

Bacchini, F.; Ripperda, B.; Chen, A. Y.
The Astrophysical Journal Supplement Series, Vol. 237, Issue 1
DOI: 10.3847/1538-4365/aac9ca

Generalized, Energy-conserving Numerical Simulations of Particles in General Relativity. II. Test Particles in Electromagnetic Fields and GRMHD
journal, February 2019

Bacchini, F.; Ripperda, B.; Porth, O.
The Astrophysical Journal Supplement Series, Vol. 240, Issue 2
DOI: 10.3847/1538-4365/aafcb3

Relativistic Extension of a Charge-Conservative Finite Element Solver for Time-Dependent Maxwell-Vlasov Equations
text, January 2017

Na, D. Y.; Moon, H.; Omelchenko, Y. A.
arXiv
DOI: 10.48550/arxiv.1707.04333

Generalized, energy-conserving numerical simulations of particles in general relativity. II. Test particles in electromagnetic fields and GRMHD
text, January 2018

Bacchini, Fabio; Ripperda, Bart; Porth, Oliver
arXiv
DOI: 10.48550/arxiv.1810.00842

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Title: Structure-preserving second-order integration of relativistic charged particle trajectories in electromagnetic fields

Abstract

Citation Formats

Why is Boris algorithm so good? journal, August 2013

Volume-preserving algorithm for secular relativistic dynamics of charged particles journal, April 2015

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VORPAL: a versatile plasma simulation code journal, May 2004

Simulation of beams or plasmas crossing at relativistic velocity journal, May 2008

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Efficiency of a Boris-like integration scheme with spatial stepping journal, September 2002

Fourth-order symplectic integration journal, May 1990

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Relativistic extension of a charge-conservative finite element solver for time-dependent Maxwell-Vlasov equations journal, January 2018

On the Boris solver in particle-in-cell simulation journal, November 2018

Extreme nonlinear dynamics in vacuum laser acceleration with a crossed beam configuration journal, September 2019

Preplasma effects on laser ion generation from thin foil targets journal, January 2020

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Generalized, energy-conserving numerical simulations of particles in general relativity. II. Test particles in electromagnetic fields and GRMHD text, January 2018

Why is Boris algorithm so good?
journal, August 2013

Volume-preserving algorithm for secular relativistic dynamics of charged particles
journal, April 2015

Select Advances in Computational Accelerator Physics
journal, April 2016

Construction of higher order symplectic integrators
journal, November 1990

An Explicit Symplectic Integration Scheme for Plasma Simulations
journal, July 1993

VORPAL: a versatile plasma simulation code
journal, May 2004

Simulation of beams or plasmas crossing at relativistic velocity
journal, May 2008

A Can0nical Integrati0n Technique
journal, August 1983

A symplectic integration algorithm for separable Hamiltonian functions
journal, January 1991

Efficiency of a Boris-like integration scheme with spatial stepping
journal, September 2002

Fourth-order symplectic integration
journal, May 1990

Plasma Physics via Computer Simulation
book, January 1991

Relativistic extension of a charge-conservative finite element solver for time-dependent Maxwell-Vlasov equations
journal, January 2018

On the Boris solver in particle-in-cell simulation
journal, November 2018

Extreme nonlinear dynamics in vacuum laser acceleration with a crossed beam configuration
journal, September 2019

Preplasma effects on laser ion generation from thin foil targets
journal, January 2020

The particle tracking code BBCNI for large negative ion beams and their diagnostics
journal, September 2019

On the origin of jet-like features in bow shock pulsar wind nebulae
journal, October 2019

A Comprehensive Comparison of Relativistic Particle Integrators
journal, March 2018

Generalized, Energy-conserving Numerical Simulations of Particles in General Relativity. I. Time-like and Null Geodesics
journal, July 2018

Generalized, Energy-conserving Numerical Simulations of Particles in General Relativity. II. Test Particles in Electromagnetic Fields and GRMHD
journal, February 2019

Relativistic Extension of a Charge-Conservative Finite Element Solver for Time-Dependent Maxwell-Vlasov Equations
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