### Abstract

Original language | English |
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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 |
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Country | Greece |

City | Athens |

Period | 25/09/05 → 28/09/05 |

### Fingerprint

### 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

*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.

Research output: Contribution to conference › Paper

}

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

ER -