Non-equilibrium dynamics of Dyson's model with an infinite number of particles

Makoto Katori, Hideki Tanemura

研究成果: Article

26 引用 (Scopus)

抜粋

Dyson's model is a one-dimensional system of Brownian motions with longrange repulsive forces acting between any pair of particles with strength proportional to the inverse of distances with proportionality constant β/2. We give sufficient conditions for initial configurations so that Dyson's model with β = 2 and an infinite number of particles is well defined in the sense that any multitime correlation function is given by a determinant with a continuous kernel. The class of infinite-dimensional configurations satisfying our conditions is large enough to study non-equilibrium dynamics. For example, we obtain the relaxation process starting from a configuration, in which every point of ℤ is occupied by one particle, to the stationary state, which is the determinantal point process with the sine kernel.

元の言語English
ページ(範囲)469-497
ページ数29
ジャーナルCommunications in Mathematical Physics
293
発行部数2
DOI
出版物ステータスPublished - 2009 9 18
外部発表Yes

    フィンガープリント

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

これを引用