Solving the Vlasov equation in two spatial dimensions with the Schrödinger method

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F17%3A00502145" target="_blank" >RIV/68378271:_____/17:00502145 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1103/PhysRevD.96.123532" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.96.123532</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.96.123532" target="_blank" >10.1103/PhysRevD.96.123532</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Solving the Vlasov equation in two spatial dimensions with the Schrödinger method

Popis výsledku v původním jazyce

We demonstrate that the Vlasov equation describing collisionless self-gravitating matter may be solved with the so-called Schrödinger method (ScM). With the ScM, one solves the Schrödinger-Poisson system of equations for a complex wave function in d dimensions, rather than the Vlasov equation for a 2d-dimensional phase space density. The ScM also allows calculating the d-dimensional cumulants directly through quasilocal manipulations of the wave function, avoiding the complexity of 2d-dimensional phase space. We perform for the first time a quantitative comparison of the ScM and a conventional Vlasov solver in d=2 dimensions. Our numerical tests were carried out using two types of cold cosmological initial conditions: the classic collapse of a sine wave and those of a Gaussian random field as commonly used in cosmological cold dark matter N-body simulations.n

Název v anglickém jazyce

Solving the Vlasov equation in two spatial dimensions with the Schrödinger method

Popis výsledku anglicky

We demonstrate that the Vlasov equation describing collisionless self-gravitating matter may be solved with the so-called Schrödinger method (ScM). With the ScM, one solves the Schrödinger-Poisson system of equations for a complex wave function in d dimensions, rather than the Vlasov equation for a 2d-dimensional phase space density. The ScM also allows calculating the d-dimensional cumulants directly through quasilocal manipulations of the wave function, avoiding the complexity of 2d-dimensional phase space. We perform for the first time a quantitative comparison of the ScM and a conventional Vlasov solver in d=2 dimensions. Our numerical tests were carried out using two types of cold cosmological initial conditions: the classic collapse of a sine wave and those of a Gaussian random field as commonly used in cosmological cold dark matter N-body simulations.n

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10308 - Astronomy (including astrophysics,space science)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review D

ISSN

2470-0010

e-ISSN

—

Svazek periodika

96

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

30

Strana od-do

—

Kód UT WoS článku

000418658400009

EID výsledku v databázi Scopus

2-s2.0-85040176651