Cluster analysis in Hamiltonian system with long-range interactions

DOI

Bibliographic Information

Other Title
  • 長距離相互作用ハミルトン系におけるクラスター解析

Abstract

Hamiltonian systems with many degrees of freedom go towards thermal equilibrium after long time relaxation. In systems with long-range interactions a state is trapped at a so-called quasi-stationary state before going to the thermal equilibrium. In this presentation we consider the Hamiltonian mean-field (HMF) model which has typical long-range interactions. In the HMF model, periodically traveling small clusters are observed on homogeneous background. The traveling small clusters can be explained by the dispersion relation of a kinetic equation for the distribution function. However, big clusters which are not treated by perturbation theory are also observed for a class of initial distributions. We will discuss a theory to understand the mechanics of the big clusters.

Journal

Keywords

Details 詳細情報について

  • CRID
    1390001205593752448
  • NII Article ID
    130004604616
  • DOI
    10.11345/japannctam.59.0.76.0
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

Report a problem

Back to top