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

Research output: Contribution to conferencePaper

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 languageEnglish
Pages51-58
Publication statusPublished - May 2006
Event2nd Workshop on Functional Materials - Athens, Greece
Duration: 25 Sep 200528 Sep 2005

Workshop

Workshop2nd Workshop on Functional Materials
CountryGreece
CityAthens
Period25/09/0528/09/05

Fingerprint

Ising model
sampling
cubic lattices
random walk
histograms
estimators
iteration
exponents
magnetic properties
energy
estimates
approximation

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

Cite this

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.

Magnetic critical behavior of the three-dimensional Ising model by entropic sampling in dominant energy subspaces. / Malakis, A.; Martinos, S. S.; Hadjiagapiou, I. A.; Fytas, Nikolaos G.; Kalozoumis, P.

2006. 51-58 Paper presented at 2nd Workshop on Functional Materials, Athens, Greece.

Research output: Contribution to conferencePaper

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.
Malakis A, Martinos SS, Hadjiagapiou IA, Fytas NG, Kalozoumis P. Magnetic critical behavior of the three-dimensional Ising model by entropic sampling in dominant energy subspaces. 2006. Paper presented at 2nd Workshop on Functional Materials, Athens, Greece.
Malakis, A. ; Martinos, S. S. ; Hadjiagapiou, I. A. ; Fytas, Nikolaos G. ; Kalozoumis, P. / 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.
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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

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