Gravitational dynamics of an infinite shuffled lattice: Early time evolution and universality of nonlinear correlations (Articolo in rivista)

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  • Gravitational dynamics of an infinite shuffled lattice: Early time evolution and universality of nonlinear correlations (Articolo in rivista) (literal)
Anno
  • 2008-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevE.77.051114 (literal)
Alternative label
  • Baertschiger T. (1); Joyce M. (2); Sylos Labini F. (3); Marcos B. (3) (2008)
    Gravitational dynamics of an infinite shuffled lattice: Early time evolution and universality of nonlinear correlations
    in Physical review. E, Statistical, nonlinear, and soft matter physics (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Baertschiger T. (1); Joyce M. (2); Sylos Labini F. (3); Marcos B. (3) (literal)
Pagina inizio
  • 051114 (literal)
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  • http://link.aps.org/doi/10.1103/PhysRevE.77.051114 (literal)
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  • 77 (literal)
Rivista
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  • American Physical Society (APS). (literal)
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  • 11 (literal)
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  • 5 (literal)
Note
  • ISI Web of Science (WOS) (literal)
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  • 1) Dipartimento di Fisica, Università “La Sapienza”, Piazzale A. Moro 2, I-00185 Rome, Italy and ISC-CNR, Via dei Taurini 19, I-00185 Rome, Italy 2) Laboratoire de Physique Nucléaire et de Hautes Energies, UMR 7585, Université Pierre et Marie Curie–Paris 6, 75252 Paris Cedex 05, France 3) “E. Fermi” Center, Via Panisperna 89 A, Compendio del Viminale, I-00184 Rome, Italy and ISC-CNR, Via dei Taurini 19, I-00185 Rome, Italy (literal)
Titolo
  • Gravitational dynamics of an infinite shuffled lattice: Early time evolution and universality of nonlinear correlations (literal)
Abstract
  • In two recent papers, a detailed study has been presented of the out-of-equilibrium dynamics of an infinite system of self-gravitating points initially located on a randomly perturbed lattice. In this paper, we extend the treatment of the early time phase during which strong nonlinear correlations first develop, prior to the onset of “self-similar” scaling in the two-point correlation function. We establish more directly, using appropriate modifications of the numerical integration, that the development of these correlations can be well described by an approximation of the evolution in two phases: a first perturbative phase in which particle displacements are small compared to the lattice spacing, and a subsequent phase in which particles interact only with their nearest neighbors. For the range of initial amplitudes considered, we show that the first phase can be well approximated as a transformation of the perturbed lattice configuration into a Poisson distribution at the relevant scales. This appears to explain the universality of the spatial dependence of the asymptotic nonlinear clustering observed from both shuffled lattice and Poisson initial conditions. (literal)
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