Multigrid Monte Carlo method. IV. One-dimensional O(4)-symmetric nonlinear σ model

Tereza Mendes; Alan D. Sokal

doi:10.1103/PhysRevD.53.3438

Multigrid Monte Carlo method. IV. One-dimensional O(4)-symmetric nonlinear σ model

Tereza Mendes, Alan D. Sokal

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

Abstract

We study the dynamic critical behavior of the multigrid Monte Carlo algorithm with piecewise-constant interpolation and a W cycle, applied to the one-dimensional O(4)-symmetric nonlinear σ model [=SU(2) principal chiral model], on lattices from L=128 to L=16 384. Our data for the integrated autocorrelation time (formula presented) are well fit by a logarithmic growth. We have no idea why the critical slowing-down is not completely eliminated.

Original language	English (US)
Pages (from-to)	3438-3444
Number of pages	7
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	53
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevD.53.3438
State	Published - 1996

ASJC Scopus subject areas

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

Access to Document

10.1103/PhysRevD.53.3438

Cite this

@article{b34a0318659844a6b3b6d4a35b92dc48,

title = "Multigrid Monte Carlo method. IV. One-dimensional O(4)-symmetric nonlinear σ model",

abstract = "We study the dynamic critical behavior of the multigrid Monte Carlo algorithm with piecewise-constant interpolation and a W cycle, applied to the one-dimensional O(4)-symmetric nonlinear σ model [=SU(2) principal chiral model], on lattices from L=128 to L=16 384. Our data for the integrated autocorrelation time (formula presented) are well fit by a logarithmic growth. We have no idea why the critical slowing-down is not completely eliminated.",

author = "Tereza Mendes and Sokal, {Alan D.}",

year = "1996",

doi = "10.1103/PhysRevD.53.3438",

language = "English (US)",

volume = "53",

pages = "3438--3444",

journal = "Physical Review D - Particles, Fields, Gravitation and Cosmology",

issn = "1550-7998",

number = "6",

}

TY - JOUR

T1 - Multigrid Monte Carlo method. IV. One-dimensional O(4)-symmetric nonlinear σ model

AU - Mendes, Tereza

AU - Sokal, Alan D.

PY - 1996

Y1 - 1996

N2 - We study the dynamic critical behavior of the multigrid Monte Carlo algorithm with piecewise-constant interpolation and a W cycle, applied to the one-dimensional O(4)-symmetric nonlinear σ model [=SU(2) principal chiral model], on lattices from L=128 to L=16 384. Our data for the integrated autocorrelation time (formula presented) are well fit by a logarithmic growth. We have no idea why the critical slowing-down is not completely eliminated.

AB - We study the dynamic critical behavior of the multigrid Monte Carlo algorithm with piecewise-constant interpolation and a W cycle, applied to the one-dimensional O(4)-symmetric nonlinear σ model [=SU(2) principal chiral model], on lattices from L=128 to L=16 384. Our data for the integrated autocorrelation time (formula presented) are well fit by a logarithmic growth. We have no idea why the critical slowing-down is not completely eliminated.

UR - http://www.scopus.com/inward/record.url?scp=0039366050&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039366050&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.53.3438

DO - 10.1103/PhysRevD.53.3438

M3 - Article

AN - SCOPUS:0039366050

SN - 1550-7998

VL - 53

SP - 3438

EP - 3444

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 6

ER -

Multigrid Monte Carlo method. IV. One-dimensional O(4)-symmetric nonlinear σ model

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this