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cond-mat.stat-mechJan 26, 2001
17
citations (OpenAlex)
authors
  • Julien Barre
  • Thierry Dauxois
  • Stefano Ruffo
institutions
  • Centre National de la Recherche Scientifique
  • École Normale Supérieure de Lyon
  • Istituto Nazionale di Fisica Nucleare, Sezione di Firenze
  • Laboratoire de Physique de l'ENS de Lyon
  • University of Florence
arXiv abstractPDF
paper

Clustering in a model with repulsive long-range interactions

arXiv:cond-mat/0101403 · doi:10.1016/S0378-4371(01)00084-X

Abstract

A striking clustering phenomenon in the antiferromagnetic Hamiltonian Mean-Field model has been previously reported. The numerically observed bicluster formation and stabilization is here fully explained by a non linear analysis of the Vlasov equation.

8 pages, 5 Figs

Cited by in corpus (7)

  • Broken Ergodicity in classically chaotic spin systems
  • Ensemble inequivalence in systems with long-range interactions
  • Inhomogeneous Quasi-stationary States in a Mean-field Model with Repulsive Cosine Interactions
  • Lyapunov exponent of many-particle systems: testing the stochastic approach
  • Brownian regime of finite-N corrections to particle motion in the XY hamiltonian mean field model
  • A Simple Model for Long-Range Interacting Pendula
  • Formation of fractal structure in many-body systems with attractive power-law potentials
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