Monte Carlo study of one-dimensional ising models with long-range interactions

Yusuke Tomita

doi:10.1143/JPSJ.78.014002

Monte Carlo study of one-dimensional ising models with long-range interactions

Yusuke Tomita

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

11 Citations (Scopus)

Abstract

Recently, Fukui and Todo have proposed a new effective Monte Carlo algorithm for long-range interacting systems. Using the algorithm with the nonequilibrium relaxation method, we investigated long-range interacting one-dimensional Ising models both ferromagnetic and antiferromagnetic with the nearest-neighbor ferromagnetic interaction. For the antiferromagnetic model, we found the systems are paramagnetic at finite temperatures.

Original language	English
Article number	014002
Journal	Journal of the Physical Society of Japan
Volume	78
Issue number	1
DOIs	https://doi.org/10.1143/JPSJ.78.014002
Publication status	Published - 2009 Jan 1
Externally published	Yes

Keywords

Algorithms
Frustration
Long-range interactions
Monte Carlo simulation

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1143/JPSJ.78.014002

Cite this

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abstract = "Recently, Fukui and Todo have proposed a new effective Monte Carlo algorithm for long-range interacting systems. Using the algorithm with the nonequilibrium relaxation method, we investigated long-range interacting one-dimensional Ising models both ferromagnetic and antiferromagnetic with the nearest-neighbor ferromagnetic interaction. For the antiferromagnetic model, we found the systems are paramagnetic at finite temperatures.",

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AB - Recently, Fukui and Todo have proposed a new effective Monte Carlo algorithm for long-range interacting systems. Using the algorithm with the nonequilibrium relaxation method, we investigated long-range interacting one-dimensional Ising models both ferromagnetic and antiferromagnetic with the nearest-neighbor ferromagnetic interaction. For the antiferromagnetic model, we found the systems are paramagnetic at finite temperatures.

KW - Algorithms

KW - Frustration

KW - Long-range interactions

KW - Monte Carlo simulation

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Monte Carlo study of one-dimensional ising models with long-range interactions

Abstract

Keywords

ASJC Scopus subject areas

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