ムカイダ ヒサミツ   MUKAIDA Hisamitsu
  向田 寿光
   所属   埼玉医科大学  医学部 教養教育
   職種   教授
論文種別 学術雑誌(原著)
言語種別 英語
査読の有無 査読あり
表題 Non-differentiability of the effective potential and the replica symmetry breaking in the random energy model
掲載誌名 正式名:Journal of Physics A: Mathematical and Theoretical
出版社名 IOP Publishing
巻・号・頁 49(4),0450002頁
発行年月 2015/12
概要 The effective potential for the two-replica system of the random energy model is exactly derived. It is an analytic function of the magnetizations of two replicas, φ1 and φ2 in the high-temperature phase. In the low-temperature phase, where the replica symmetry breaking takes place, the effective potential becomes non-analytic when φ12. The non-analyticity is considered as a consequence of the condensation of the Boltzmann measure, which is a typical property of a glass phase.
arXiv ID 1510.02613v2