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Title: Investigating the use of field solvers for simulating classical systems

Abstract

We explore the use of field solvers as approximations of classical Vlasov-Poisson systems. This correspondence is investigated in both electrostatic and gravitational contexts. We demonstrate the ability of field solvers to be excellent approximations of problems with cold initial condition into the nonlinear regime. We also investigate extensions of the Schrödinger-Poisson system that employ multiple stacked cold streams, and the von Neumann–Poisson equation as methods that can successfully reproduce the classical evolution of warm initial conditions. We then discuss how appropriate simulation parameters need to be chosen to avoid interference terms, aliasing, and wave behavior in the field solver solutions. We present a series of criteria clarifying how parameters need to be chosen in order to effectively approximate classical solutions.

Authors:
; ORCiD logo; ; ORCiD logo
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1604761
Alternate Identifier(s):
OSTI ID: 1599669
Grant/Contract Number:  
[AC02-76SF00515; FP7/2007-2013; 617656]
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
[ Journal Volume: 101; Journal Issue: 4]; Journal ID: ISSN 2470-0010
Country of Publication:
United States
Language:
English

Citation Formats

Eberhardt, Andrew, Banerjee, Arka, Kopp, Michael, and Abel, Tom. Investigating the use of field solvers for simulating classical systems. United States: N. p., 2020. Web. doi:10.1103/physrevd.101.043011.
Eberhardt, Andrew, Banerjee, Arka, Kopp, Michael, & Abel, Tom. Investigating the use of field solvers for simulating classical systems. United States. doi:10.1103/physrevd.101.043011.
Eberhardt, Andrew, Banerjee, Arka, Kopp, Michael, and Abel, Tom. Sat . "Investigating the use of field solvers for simulating classical systems". United States. doi:10.1103/physrevd.101.043011.
@article{osti_1604761,
title = {Investigating the use of field solvers for simulating classical systems},
author = {Eberhardt, Andrew and Banerjee, Arka and Kopp, Michael and Abel, Tom},
abstractNote = {We explore the use of field solvers as approximations of classical Vlasov-Poisson systems. This correspondence is investigated in both electrostatic and gravitational contexts. We demonstrate the ability of field solvers to be excellent approximations of problems with cold initial condition into the nonlinear regime. We also investigate extensions of the Schrödinger-Poisson system that employ multiple stacked cold streams, and the von Neumann–Poisson equation as methods that can successfully reproduce the classical evolution of warm initial conditions. We then discuss how appropriate simulation parameters need to be chosen to avoid interference terms, aliasing, and wave behavior in the field solver solutions. We present a series of criteria clarifying how parameters need to be chosen in order to effectively approximate classical solutions.},
doi = {10.1103/physrevd.101.043011},
journal = {Physical Review D},
number = [4],
volume = [101],
place = {United States},
year = {2020},
month = {2}
}

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