Matches in SemOpenAlex for { <https://semopenalex.org/work/W2611116325> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W2611116325 abstract "This work introduces a new interpretation of the gravitational N-body problem, based on the one-point probability density $Psi$ of finding a particle at a given location of phase space $(mathbf{x}, mathbf{v})$ at time $t$ and the associated expected phase-space density $bar{f}(mathbf{x}, mathbf{v}, t) = M Psi(mathbf{x}, mathbf{v}, t)$ where $M$ is the total mass of the system. At variance with the traditional paradigm, we consider that the problem is inherently stochastic, and $bar{f}$ corresponds to a weighted average over all possible random realisations corresponds to a weighted average over all possible random realisations of the initial probability distribution $Psi(mathbf{x}, mathbf{v}, 0)$. In practice, we run several numerical experiments in one dimension where $bar{f}(x, v, t)$, and thus $Psi(x, v, t)$, are estimated from the average of a finite number $S$ of independent simulations with $N$ particles each. The proposed approach is extremely efficient from a computational point of view, with modest CPU and memory requirements, and it provides an alternative to traditional N-body simulations when the goal is to study the average properties of N-body systems, at the cost of abandoning the notion of well-defined trajectories for each individual particle. Our results, fully consistent with those previously reported in the literature for the standard deterministic formulation of the problem, highlight the differences between the evolution of the one-point probability density $Psi (x, v, t)$ and the predictions of the collisionless Boltzmann (Vlasov-Poisson) equation, as well as the relatively subtle dependence on the actual finite number N of particles in the system." @default.
- W2611116325 created "2017-05-12" @default.
- W2611116325 creator A5074861919 @default.
- W2611116325 creator A5089189996 @default.
- W2611116325 date "2017-03-15" @default.
- W2611116325 modified "2023-09-27" @default.
- W2611116325 title "A probabilistic approach to the N-body problem" @default.
- W2611116325 cites W1526547736 @default.
- W2611116325 hasPublicationYear "2017" @default.
- W2611116325 type Work @default.
- W2611116325 sameAs 2611116325 @default.
- W2611116325 citedByCount "0" @default.
- W2611116325 crossrefType "posted-content" @default.
- W2611116325 hasAuthorship W2611116325A5074861919 @default.
- W2611116325 hasAuthorship W2611116325A5089189996 @default.
- W2611116325 hasConcept C105795698 @default.
- W2611116325 hasConcept C110121322 @default.
- W2611116325 hasConcept C111919701 @default.
- W2611116325 hasConcept C114614502 @default.
- W2611116325 hasConcept C121332964 @default.
- W2611116325 hasConcept C122123141 @default.
- W2611116325 hasConcept C134306372 @default.
- W2611116325 hasConcept C149441793 @default.
- W2611116325 hasConcept C151342819 @default.
- W2611116325 hasConcept C153294291 @default.
- W2611116325 hasConcept C188721877 @default.
- W2611116325 hasConcept C2778572836 @default.
- W2611116325 hasConcept C33676613 @default.
- W2611116325 hasConcept C33923547 @default.
- W2611116325 hasConcept C37914503 @default.
- W2611116325 hasConcept C41008148 @default.
- W2611116325 hasConcept C62520636 @default.
- W2611116325 hasConceptScore W2611116325C105795698 @default.
- W2611116325 hasConceptScore W2611116325C110121322 @default.
- W2611116325 hasConceptScore W2611116325C111919701 @default.
- W2611116325 hasConceptScore W2611116325C114614502 @default.
- W2611116325 hasConceptScore W2611116325C121332964 @default.
- W2611116325 hasConceptScore W2611116325C122123141 @default.
- W2611116325 hasConceptScore W2611116325C134306372 @default.
- W2611116325 hasConceptScore W2611116325C149441793 @default.
- W2611116325 hasConceptScore W2611116325C151342819 @default.
- W2611116325 hasConceptScore W2611116325C153294291 @default.
- W2611116325 hasConceptScore W2611116325C188721877 @default.
- W2611116325 hasConceptScore W2611116325C2778572836 @default.
- W2611116325 hasConceptScore W2611116325C33676613 @default.
- W2611116325 hasConceptScore W2611116325C33923547 @default.
- W2611116325 hasConceptScore W2611116325C37914503 @default.
- W2611116325 hasConceptScore W2611116325C41008148 @default.
- W2611116325 hasConceptScore W2611116325C62520636 @default.
- W2611116325 hasLocation W26111163251 @default.
- W2611116325 hasOpenAccess W2611116325 @default.
- W2611116325 hasPrimaryLocation W26111163251 @default.
- W2611116325 hasRelatedWork W1020530695 @default.
- W2611116325 hasRelatedWork W149694049 @default.
- W2611116325 hasRelatedWork W1731427258 @default.
- W2611116325 hasRelatedWork W2036453785 @default.
- W2611116325 hasRelatedWork W2089708182 @default.
- W2611116325 hasRelatedWork W2182055963 @default.
- W2611116325 hasRelatedWork W2284189926 @default.
- W2611116325 hasRelatedWork W2343684542 @default.
- W2611116325 hasRelatedWork W2561850413 @default.
- W2611116325 hasRelatedWork W2762702893 @default.
- W2611116325 hasRelatedWork W2788030594 @default.
- W2611116325 hasRelatedWork W2951078178 @default.
- W2611116325 hasRelatedWork W3012005105 @default.
- W2611116325 hasRelatedWork W3039768999 @default.
- W2611116325 hasRelatedWork W3102638481 @default.
- W2611116325 hasRelatedWork W3103676538 @default.
- W2611116325 hasRelatedWork W3104119097 @default.
- W2611116325 hasRelatedWork W3112810647 @default.
- W2611116325 hasRelatedWork W3120580392 @default.
- W2611116325 hasRelatedWork W62813297 @default.
- W2611116325 isParatext "false" @default.
- W2611116325 isRetracted "false" @default.
- W2611116325 magId "2611116325" @default.
- W2611116325 workType "article" @default.