Magnetic critical behavior of the three-dimensional Ising model by entropic sampling in dominant energy subspaces

A. Malakis; S. S. Martinos; I. A. Hadjiagapiou; Nikolaos G. Fytas; P. Kalozoumis

Magnetic critical behavior of the three-dimensional Ising model by entropic sampling in dominant energy subspaces

A. Malakis, S. S. Martinos, I. A. Hadjiagapiou, Nikolaos G. Fytas, P. Kalozoumis

School of Computing, Electronics and Maths

Research output: Contribution to conference › Paper

Abstract

We apply a new entropic scheme to study the critical behavior of the three-dimensional (3D) Ising model on a cubic lattice. This method (CrMES entropic sampling scheme) has been recently shown to be an efficient and accurate alternative to the traditional Metropolis method. It utilizes a Wang-Landau (WL) random walk in an appropriately chosen dominant energy subspace. Via this process it generates, in one-run, good approximations for the density of energy states and the microcanonical estimators of the magnetic properties of the system by updating (E,M) histograms during the high-level WL iterations. Applying this procedure we present a convincing finite-size analysis of the magnetic critical behavior of the 3D Ising model and we estimate the relevant critical exponents. Finally, the far tail regime of the order-parameter probability distribution is discussed.

Original language	English
Pages	51-58
Publication status	Published - May 2006
Event	2nd Workshop on Functional Materials - Athens, Greece Duration: 25 Sep 2005 → 28 Sep 2005

Workshop

Workshop	2nd Workshop on Functional Materials
Country	Greece
City	Athens
Period	25/09/05 → 28/09/05

Bibliographical note

The full text is not available on the repository.

Keywords

MONTE-CARLO RENORMALIZATION
HIGH-TEMPERATURE SERIES
FINITE-SIZE BEHAVIOR
CRITICAL EXPONENTS
BROAD HISTOGRAM
HEAT EXPONENT
DIMENSIONS
LATTICE

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Malakis, A., Martinos, S. S., Hadjiagapiou, I. A., Fytas, N. G., & Kalozoumis, P. (2006). Magnetic critical behavior of the three-dimensional Ising model by entropic sampling in dominant energy subspaces. 51-58. Paper presented at 2nd Workshop on Functional Materials, Athens, Greece. http://apps.webofknowledge.com/InboundService.do?KeyUID=WOS%3A000238039100007&UT=WOS%3A000238039100007&IsProductCode=Yes&mode=FullRecord&product=WOS&SID=4C7VwOdFmXdcCqm6Gm9&smartRedirect=yes&SrcApp=OrcidOrg&DestFail=http%3A%2F%2Fwww.webofknowledge.com%3FDestApp%3DCEL%26DestParams%3D%253Faction%253Dretrieve%2526mode%253DFullRecord%2526product%253DCEL%2526UT%253DWOS%253A000238039100007%2526customersID%253DORCID%2526KeyUID%253DWOS%25253A000238039100007%26e%3DFffVi6qODepUDcyLj7B3jml7AN1dmfsU3lkTfnrpqQkyyS64_9YFu3%26SrcApp%3DOrcidOrg%26SrcAuth%3DORCID&action=retrieve&Init=Yes&SrcAuth=ORCID&customersID=ORCID&Func=Frame

Malakis, A, Martinos, SS, Hadjiagapiou, IA, Fytas, NG & Kalozoumis, P 2006, 'Magnetic critical behavior of the three-dimensional Ising model by entropic sampling in dominant energy subspaces', Paper presented at 2nd Workshop on Functional Materials, Athens, Greece, 25/09/05 - 28/09/05 pp. 51-58. <http://apps.webofknowledge.com/InboundService.do?KeyUID=WOS%3A000238039100007&UT=WOS%3A000238039100007&IsProductCode=Yes&mode=FullRecord&product=WOS&SID=4C7VwOdFmXdcCqm6Gm9&smartRedirect=yes&SrcApp=OrcidOrg&DestFail=http%3A%2F%2Fwww.webofknowledge.com%3FDestApp%3DCEL%26DestParams%3D%253Faction%253Dretrieve%2526mode%253DFullRecord%2526product%253DCEL%2526UT%253DWOS%253A000238039100007%2526customersID%253DORCID%2526KeyUID%253DWOS%25253A000238039100007%26e%3DFffVi6qODepUDcyLj7B3jml7AN1dmfsU3lkTfnrpqQkyyS64_9YFu3%26SrcApp%3DOrcidOrg%26SrcAuth%3DORCID&action=retrieve&Init=Yes&SrcAuth=ORCID&customersID=ORCID&Func=Frame>

@conference{0c1c0a94333a44d8907a3a9e8745ce05,

title = "Magnetic critical behavior of the three-dimensional Ising model by entropic sampling in dominant energy subspaces",

abstract = "We apply a new entropic scheme to study the critical behavior of the three-dimensional (3D) Ising model on a cubic lattice. This method (CrMES entropic sampling scheme) has been recently shown to be an efficient and accurate alternative to the traditional Metropolis method. It utilizes a Wang-Landau (WL) random walk in an appropriately chosen dominant energy subspace. Via this process it generates, in one-run, good approximations for the density of energy states and the microcanonical estimators of the magnetic properties of the system by updating (E,M) histograms during the high-level WL iterations. Applying this procedure we present a convincing finite-size analysis of the magnetic critical behavior of the 3D Ising model and we estimate the relevant critical exponents. Finally, the far tail regime of the order-parameter probability distribution is discussed.",

keywords = "MONTE-CARLO RENORMALIZATION, HIGH-TEMPERATURE SERIES, FINITE-SIZE BEHAVIOR, CRITICAL EXPONENTS, BROAD HISTOGRAM, HEAT EXPONENT, DIMENSIONS, LATTICE",

author = "A. Malakis and Martinos, {S. S.} and Hadjiagapiou, {I. A.} and Fytas, {Nikolaos G.} and P. Kalozoumis",

note = "The full text is not available on the repository.; 2nd Workshop on Functional Materials ; Conference date: 25-09-2005 Through 28-09-2005",

year = "2006",

month = may,

language = "English",

pages = "51--58",

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TY - CONF

T1 - Magnetic critical behavior of the three-dimensional Ising model by entropic sampling in dominant energy subspaces

AU - Malakis, A.

AU - Martinos, S. S.

AU - Hadjiagapiou, I. A.

AU - Fytas, Nikolaos G.

AU - Kalozoumis, P.

N1 - The full text is not available on the repository.

PY - 2006/5

Y1 - 2006/5

N2 - We apply a new entropic scheme to study the critical behavior of the three-dimensional (3D) Ising model on a cubic lattice. This method (CrMES entropic sampling scheme) has been recently shown to be an efficient and accurate alternative to the traditional Metropolis method. It utilizes a Wang-Landau (WL) random walk in an appropriately chosen dominant energy subspace. Via this process it generates, in one-run, good approximations for the density of energy states and the microcanonical estimators of the magnetic properties of the system by updating (E,M) histograms during the high-level WL iterations. Applying this procedure we present a convincing finite-size analysis of the magnetic critical behavior of the 3D Ising model and we estimate the relevant critical exponents. Finally, the far tail regime of the order-parameter probability distribution is discussed.

AB - We apply a new entropic scheme to study the critical behavior of the three-dimensional (3D) Ising model on a cubic lattice. This method (CrMES entropic sampling scheme) has been recently shown to be an efficient and accurate alternative to the traditional Metropolis method. It utilizes a Wang-Landau (WL) random walk in an appropriately chosen dominant energy subspace. Via this process it generates, in one-run, good approximations for the density of energy states and the microcanonical estimators of the magnetic properties of the system by updating (E,M) histograms during the high-level WL iterations. Applying this procedure we present a convincing finite-size analysis of the magnetic critical behavior of the 3D Ising model and we estimate the relevant critical exponents. Finally, the far tail regime of the order-parameter probability distribution is discussed.

KW - MONTE-CARLO RENORMALIZATION

KW - HIGH-TEMPERATURE SERIES

KW - FINITE-SIZE BEHAVIOR

KW - CRITICAL EXPONENTS

KW - BROAD HISTOGRAM

KW - HEAT EXPONENT

KW - DIMENSIONS

KW - LATTICE

M3 - Paper

SP - 51

EP - 58

T2 - 2nd Workshop on Functional Materials

Y2 - 25 September 2005 through 28 September 2005

ER -