Continuum Approximations to Systems of Correlated Interacting Particles

Leonid V. Berlyand, Robert Creese, Pierre Emmanuel Jabin, Mykhailo Potomkin

Research output: Contribution to journalArticle

Abstract

We consider a system of interacting particles with random initial conditions. Continuum approximations of the system, based on truncations of the BBGKY hierarchy, are described and simulated for various initial distributions and types of interaction. Specifically, we compare the mean field approximation (MFA), the Kirkwood superposition approximation (KSA), and a recently developed truncation of the BBGKY hierarchy (the truncation approximation—TA). We show that KSA and TA perform more accurately than MFA in capturing approximate distributions (histograms) obtained from Monte Carlo simulations. Furthermore, TA is more numerically stable and less computationally expensive than KSA.

Original languageEnglish (US)
Pages (from-to)808-829
Number of pages22
JournalJournal of Statistical Physics
Volume174
Issue number4
DOIs
StatePublished - Feb 28 2019

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Continuum
Truncation
BBGKY Hierarchy
continuums
Superposition
Mean-field Approximation
Approximation
approximation
BBGKY hierarchy
Histogram
Initial conditions
Monte Carlo Simulation
Interaction
histograms
simulation

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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Continuum Approximations to Systems of Correlated Interacting Particles. / Berlyand, Leonid V.; Creese, Robert; Jabin, Pierre Emmanuel; Potomkin, Mykhailo.

In: Journal of Statistical Physics, Vol. 174, No. 4, 28.02.2019, p. 808-829.

Research output: Contribution to journalArticle

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