### 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 |
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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 |

### 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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## 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.