Window measurements of simulations in random systems

Tota Nakamura, Takayuki Shirakura

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Simulation studies of random and frustrated systems are plagued by severely slow dynamics and strong finite-size effects. We introduce a window-measurement method as a practical solution to these difficulties. In the method, we only observe physical quantities within a subsystem located in the whole system and scale them with the correlation length estimated in the subsystem. Both equilibrium and nonequilibrium data with different system sizes and different window sizes fall onto a single scaling function.We confirmed the validity of the method using a three-dimensional ±J Heisenberg spin glass model. The spin-glass and chiral-glass transition temperatures were estimated to be very close to each other.

Original languageEnglish
Article number013701
JournalJournal of the Physical Society of Japan
Volume84
Issue number1
DOIs
Publication statusPublished - 2015 Jan 15

Fingerprint

spin glass
simulation
glass transition temperature
scaling

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Window measurements of simulations in random systems. / Nakamura, Tota; Shirakura, Takayuki.

In: Journal of the Physical Society of Japan, Vol. 84, No. 1, 013701, 15.01.2015.

Research output: Contribution to journalArticle

@article{9130f837ff884858a7967b179cdb68b4,
title = "Window measurements of simulations in random systems",
abstract = "Simulation studies of random and frustrated systems are plagued by severely slow dynamics and strong finite-size effects. We introduce a window-measurement method as a practical solution to these difficulties. In the method, we only observe physical quantities within a subsystem located in the whole system and scale them with the correlation length estimated in the subsystem. Both equilibrium and nonequilibrium data with different system sizes and different window sizes fall onto a single scaling function.We confirmed the validity of the method using a three-dimensional ±J Heisenberg spin glass model. The spin-glass and chiral-glass transition temperatures were estimated to be very close to each other.",
author = "Tota Nakamura and Takayuki Shirakura",
year = "2015",
month = "1",
day = "15",
doi = "10.7566/JPSJ.84.013701",
language = "English",
volume = "84",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "1",

}

TY - JOUR

T1 - Window measurements of simulations in random systems

AU - Nakamura, Tota

AU - Shirakura, Takayuki

PY - 2015/1/15

Y1 - 2015/1/15

N2 - Simulation studies of random and frustrated systems are plagued by severely slow dynamics and strong finite-size effects. We introduce a window-measurement method as a practical solution to these difficulties. In the method, we only observe physical quantities within a subsystem located in the whole system and scale them with the correlation length estimated in the subsystem. Both equilibrium and nonequilibrium data with different system sizes and different window sizes fall onto a single scaling function.We confirmed the validity of the method using a three-dimensional ±J Heisenberg spin glass model. The spin-glass and chiral-glass transition temperatures were estimated to be very close to each other.

AB - Simulation studies of random and frustrated systems are plagued by severely slow dynamics and strong finite-size effects. We introduce a window-measurement method as a practical solution to these difficulties. In the method, we only observe physical quantities within a subsystem located in the whole system and scale them with the correlation length estimated in the subsystem. Both equilibrium and nonequilibrium data with different system sizes and different window sizes fall onto a single scaling function.We confirmed the validity of the method using a three-dimensional ±J Heisenberg spin glass model. The spin-glass and chiral-glass transition temperatures were estimated to be very close to each other.

UR - http://www.scopus.com/inward/record.url?scp=84924943503&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84924943503&partnerID=8YFLogxK

U2 - 10.7566/JPSJ.84.013701

DO - 10.7566/JPSJ.84.013701

M3 - Article

VL - 84

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 1

M1 - 013701

ER -