Clustering in a model with repulsive long-range interactions

Julien Barré (1) , Thierry Dauxois (1) , Stefano Ruffo

1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon

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.

Domaines: Formation de Structures et Solitons [nlin.PS]; Mécanique statistique [cond-mat.stat-mech]

Julien Barré, Thierry Dauxois, Stefano Ruffo. Clustering in a model with repulsive long-range interactions. Physica A: Statistical Mechanics and its Applications, 2001, 295, pp.254. ⟨hal-00014130⟩