Relaxational processes in the one-dimensional diluted Ising model with long-range interactions

Yusuke Tomita

doi:10.1080/00150193.2017.1332968

Relaxational processes in the one-dimensional diluted Ising model with long-range interactions

Yusuke Tomita

Department of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

Relaxational processes in the one-dimensional diluted Ising model with long-range interactions are numerically investigated. When the dilution is relevant, the power-law decay of autocorrelation functions is observed as the droplet theory predicts. The power-law decay is expected to disappear in the high dimensional mean-field ordered phase and in the low dimensional Kosterlitz-Thouless phase. Numerical results, however, show that the power-law decay survives in the mean-field ordered phase, and nontrivial stretched exponential decay is observed at the lower critical dimension.

Original language	English
Pages (from-to)	35-41
Number of pages	7
Journal	Ferroelectrics
Volume	511
Issue number	1
DOIs	https://doi.org/10.1080/00150193.2017.1332968
Publication status	Published - 2017 Apr 26

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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abstract = "Relaxational processes in the one-dimensional diluted Ising model with long-range interactions are numerically investigated. When the dilution is relevant, the power-law decay of autocorrelation functions is observed as the droplet theory predicts. The power-law decay is expected to disappear in the high dimensional mean-field ordered phase and in the low dimensional Kosterlitz-Thouless phase. Numerical results, however, show that the power-law decay survives in the mean-field ordered phase, and nontrivial stretched exponential decay is observed at the lower critical dimension.",

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AB - Relaxational processes in the one-dimensional diluted Ising model with long-range interactions are numerically investigated. When the dilution is relevant, the power-law decay of autocorrelation functions is observed as the droplet theory predicts. The power-law decay is expected to disappear in the high dimensional mean-field ordered phase and in the low dimensional Kosterlitz-Thouless phase. Numerical results, however, show that the power-law decay survives in the mean-field ordered phase, and nontrivial stretched exponential decay is observed at the lower critical dimension.

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Relaxational processes in the one-dimensional diluted Ising model with long-range interactions

Abstract

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