Conjecture on the exact transition point of the random Ising ferromagnet

H. Nishimori

研究成果: Article査読

16 被引用数 (Scopus)

抄録

Presents a conjecture on the exact value of the transition point of the random Ising ferromagnet on the square lattice. Only the bond problem is treated; each neighbouring pair of spins has an interaction of strength J(>or=0), where J is a random variable with an arbitrarily given probability distribution. To solve the problem an exact duality transformation and the replica method are used. In order to deduce the transition point from the duality relation only it is necessary to make an unconfirmed assumption concerning the symmetry of the distribution of singularities of the free energy.

本文言語English
論文番号007
ジャーナルJournal of Physics C: Solid State Physics
12
23
DOI
出版ステータスPublished - 1979 12月 1
外部発表はい

ASJC Scopus subject areas

  • 凝縮系物理学
  • 工学(全般)
  • 物理学および天文学(全般)

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