Correlation Hole of Survival Probability and Level Statistics

Jian Zhong Ma

doi:10.1143/JPSJ.64.4059

Correlation Hole of Survival Probability and Level Statistics

Jian Zhong Ma

Genetics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

The relationship between level statistics and the correlation hole in the survival probability function in generic chaotic systems is investigated. It is shown that the depth and the area of the hole measure the long- and short-range correlations of levels, respectively. Two models of level statistics, namely the Gaudin model and an independent superposition of circular unitary ensembles, are analyzed as examples for systems intermediate between chaos and integrability.

Original language	English (US)
Pages (from-to)	4059-4063
Number of pages	5
Journal	Journal of the Physical Society of Japan
Volume	64
Issue number	11
DOIs	https://doi.org/10.1143/JPSJ.64.4059
State	Published - Nov 1995

Keywords

chaos
level statistics
survival probability

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1143/JPSJ.64.4059

Cite this

@article{e01eca7a13da4656a521530799b3b124,

title = "Correlation Hole of Survival Probability and Level Statistics",

abstract = "The relationship between level statistics and the correlation hole in the survival probability function in generic chaotic systems is investigated. It is shown that the depth and the area of the hole measure the long- and short-range correlations of levels, respectively. Two models of level statistics, namely the Gaudin model and an independent superposition of circular unitary ensembles, are analyzed as examples for systems intermediate between chaos and integrability.",

keywords = "chaos, level statistics, survival probability",

author = "Ma, {Jian Zhong}",

year = "1995",

month = nov,

doi = "10.1143/JPSJ.64.4059",

language = "English (US)",

volume = "64",

pages = "4059--4063",

journal = "Journal of the Physical Society of Japan",

issn = "0031-9015",

publisher = "Physical Society of Japan",

number = "11",

}

TY - JOUR

T1 - Correlation Hole of Survival Probability and Level Statistics

AU - Ma, Jian Zhong

PY - 1995/11

Y1 - 1995/11

N2 - The relationship between level statistics and the correlation hole in the survival probability function in generic chaotic systems is investigated. It is shown that the depth and the area of the hole measure the long- and short-range correlations of levels, respectively. Two models of level statistics, namely the Gaudin model and an independent superposition of circular unitary ensembles, are analyzed as examples for systems intermediate between chaos and integrability.

AB - The relationship between level statistics and the correlation hole in the survival probability function in generic chaotic systems is investigated. It is shown that the depth and the area of the hole measure the long- and short-range correlations of levels, respectively. Two models of level statistics, namely the Gaudin model and an independent superposition of circular unitary ensembles, are analyzed as examples for systems intermediate between chaos and integrability.

KW - chaos

KW - level statistics

KW - survival probability

UR - http://www.scopus.com/inward/record.url?scp=21844495162&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21844495162&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.64.4059

DO - 10.1143/JPSJ.64.4059

M3 - Article

AN - SCOPUS:21844495162

SN - 0031-9015

VL - 64

SP - 4059

EP - 4063

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

IS - 11

ER -

Correlation Hole of Survival Probability and Level Statistics

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this