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

Makoto Katori; Hideki Tanemura; Taro Nagao; Naoaki Komatsuda

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 journal › Article › peer-review

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 language	English
Article number	021112
Pages (from-to)	021112/1-021112/16
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	68
Issue number	2 1
Publication status	Published - 2003 Aug 1
Externally published	Yes

ASJC Scopus subject areas

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

Cite this

@article{94097e9e632142b0b1a062c156b3faaa,

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

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.",

author = "Makoto Katori and Hideki Tanemura and Taro Nagao and Naoaki Komatsuda",

year = "2003",

month = aug,

day = "1",

language = "English",

volume = "68",

pages = "021112/1--021112/16",

journal = "Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",

issn = "1063-651X",

publisher = "American Physical Society",

number = "2 1",

}

TY - JOUR

T1 - Vicious walks with a wall, noncolliding meanders, and chiral and Bogoliubov-de Gennes random matrices

AU - Katori, Makoto

AU - Tanemura, Hideki

AU - Nagao, Taro

AU - Komatsuda, Naoaki

PY - 2003/8/1

Y1 - 2003/8/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=37649031782&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=37649031782&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:37649031782

SN - 1063-651X

VL - 68

SP - 021112/1-021112/16

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

IS - 2 1

M1 - 021112

ER -

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

Abstract

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this