Solving the Vlasov equation in two spatial dimensions with the Schrödinger method
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Solving the Vlasov equation in two spatial dimensions with the Schrödinger method
Original language description
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
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10308 - Astronomy (including astrophysics,space science)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D
ISSN
2470-0010
e-ISSN
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Volume of the periodical
96
Issue of the periodical within the volume
12
Country of publishing house
US - UNITED STATES
Number of pages
30
Pages from-to
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UT code for WoS article
000418658400009
EID of the result in the Scopus database
2-s2.0-85040176651