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Investigating the use of field solvers for simulating classical systems
Kavli Inst Particle Astrophys & Cosmol, Menlo Pk, CA 94025 USA.;Stanford Univ, Phys Dept, Stanford, CA 94305 USA.;SLAC Natl Accelerator Lab, 2575 Sand Hill Rd, Menlo Pk, CA 94025 USA..
Kavli Inst Particle Astrophys & Cosmol, Menlo Pk, CA 94025 USA.;Stanford Univ, Phys Dept, Stanford, CA 94305 USA.;SLAC Natl Accelerator Lab, 2575 Sand Hill Rd, Menlo Pk, CA 94025 USA..
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
Kavli Inst Particle Astrophys & Cosmol, Menlo Pk, CA 94025 USA.;Stanford Univ, Phys Dept, Stanford, CA 94305 USA.;SLAC Natl Accelerator Lab, 2575 Sand Hill Rd, Menlo Pk, CA 94025 USA..
2020 (English)In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 101, no 4, article id 043011Article in journal (Refereed) Published
Abstract [en]

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 Schrodinger-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.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2020. Vol. 101, no 4, article id 043011
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-269457DOI: 10.1103/PhysRevD.101.043011ISI: 000513575900004Scopus ID: 2-s2.0-85080936159OAI: oai:DiVA.org:kth-269457DiVA, id: diva2:1413365
Note

QC 20200310

Available from: 2020-03-10 Created: 2020-03-10 Last updated: 2020-05-25Bibliographically approved

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