Vicious walks with a wall, noncolliding meanders, and chiral and Bogoliubov-de Gennes random matrices

Makoto Katori, Hideki Tanemura, Taro Nagao, Naoaki Komatsuda

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

The solvability of one-dimensional vicious-walker models, which are generalizations of the model studied in earlier papers is considered. These systems provide in general spatially and temporally inhomogeneous systems. This paper aims to construct many-particle systems in one dimension using such temporally inhomogeneous processes as elementary processes, so that the spatial inhomogeneity is discussed.

Original languageEnglish
Article number021112
Pages (from-to)021112/1-021112/16
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume68
Issue number2 1
Publication statusPublished - 2003 Aug 1
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

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