# Gravitational dynamics of an infinite shuffled lattice: early time evolution and universality of non-linear correlations

Abstract : In two recent articles 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 article we extend the treatment of the early time phase during which strong non-linear 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 particles' displacements are small compared to the lattice spacing, and a subsequent phase in which particles interact only with their nearest neighbor. 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 non-linear clustering observed from both shuffled lattice and Poisson initial conditions.
Type de document :
Article dans une revue
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2008, 77, pp.5. <10.1103/PhysRevE.77.051114>
Domaine :

http://hal.in2p3.fr/in2p3-00282372
Contributeur : Swarna Bassava <>
Soumis le : mardi 27 mai 2008 - 14:21:25
Dernière modification le : mardi 11 octobre 2016 - 15:21:17

### Citation

T. Baertschiger, M. Joyce, F. Labini, B. Marcos. Gravitational dynamics of an infinite shuffled lattice: early time evolution and universality of non-linear correlations. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2008, 77, pp.5. <10.1103/PhysRevE.77.051114>. <in2p3-00282372>

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