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Author
dc.contributor.author
Csordas, A 
Author
dc.contributor.author
Graham, R 
Author
dc.contributor.author
Szepfalusy, P 
Author
dc.contributor.author
Vattay, G 
Availability Date
dc.date.accessioned
2020-08-08T20:32:08Z
Availability Date
dc.date.available
2020-08-08T20:32:08Z
Release
dc.date.issued
1994
uri
dc.identifier.uri
http://hdl.handle.net/10831/49280
Abstract
dc.description.abstract
One wall of an Artin's billiard on the Poincare half-plane is replaced by a one-parameter (c(p)) family of nongeodetic walls. A brief description of the classical phase; space:of this system is given. In the quantum domain, the continuous and gradual transition from the Poisson-like to Gaussian-orthogonal-ensemble (GOE level statistics due to the small perturbations breaking the symmetry responsible for the ''arithmetic chaos'' at c(p)=1 is studied. Another GOE --> Poisson transition due to the mixed phase space for large perturbations is also investigated. A satisfactory. description of the intermediate level statistics by the Brody distribution was found in both cases. The study supports the existence of a scaling region around c(p)=1: A finite-size scaling relation for the Brody parameter as a function of 1-c(p) and the number of levels considered can be established.
Language
dc.language
Angol
Title
dc.title
Transition From Poissonian TO Gaussian-orthogonal-ensemble Level Statistics IN A Modified Artins Billiard
Type
dc.type
folyóiratcikk
Date Change
dc.date.updated
2020-06-05T13:43:36Z
Scope
dc.format.page
325-332
Doi ID
dc.identifier.doi
10.1103/PhysRevE.49.325
Wos ID
dc.identifier.wos
A1994MV51400045
ID Scopus
dc.identifier.scopus
0010778232
MTMT ID
dc.identifier.mtmt
1091851
Issue Number
dc.identifier.issue
1
abbreviated journal
dc.identifier.jabbrev
PHYS REV E STAT NONLIN
Journal
dc.identifier.jtitle
PHYSICAL REVIEW E - STATISTICAL, NONLINEAR AND SOFT MATTER PHYSICS (2001-2015)
Volume Number
dc.identifier.volume
49
Release Date
dc.description.issuedate
1994
department of Author
dc.contributor.institution
TTK Professor Emeritus
department of Author
dc.contributor.institution
MTA-ELTE Elméleti Fizikai Kutatócsoport
department of Author
dc.contributor.institution
MTA-ELTE Statisztikus és Biológiai Fizika Kutatócsoport
department of Author
dc.contributor.institution
MTA-ELTE Statisztikus Fizikai Kutatócsoport
department of Author
dc.contributor.institution
Komplex rendszerek
department of Author
dc.contributor.institution
Komplex rendszerek csoport
department of Author
dc.contributor.institution
Elméleti Fizikai Tanszék
department of Author
dc.contributor.institution
Komplex Rendszerek Fizikája Tanszék
Author institution
dc.contributor.department
Komplex rendszerek
Author institution
dc.contributor.department
Komplex rendszerek
Author institution
dc.contributor.department
Komplex Rendszerek Fizikája Tanszék


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Transition From Poissonian TO Gaussian-orthogonal-ensemble Level Statistics IN A Modified Artins Billiard
 

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