Mixed cluster Monte Carlo algorithms for the Blume-Emery-Griffiths model

Rachadi, A.; Benyoussef, A.

doi:10.1103/physrevb.68.064113

Cited by 14 publications

(13 citation statements)

References 13 publications

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“…7. These estimates, both obtained by using the PT, are in good accordance with the valueD = 8.6032, obtained by Rachadi and Benyoussef, from cluster algorithms [6].…”

Section: Values Of Lsupporting

confidence: 89%

First-order phase transitions: A study through the parallel tempering method

Fiore

2008

Phys. Rev. E

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We study the applicability of the parallel tempering (PT) method in the investigation of first-order phase transitions. In this method, replicas of the same system are simulated simultaneously at different temperatures, and the configurations of two randomly chosen replicas can occasionally be interchanged. We apply the PT method for the Blume-Emery-Griffiths model, which displays strong first-order transitions at low temperatures. A precise estimate of coexistence lines is obtained, revealing that the PT method may be a successful tool for the characterization of discontinuous transitions.

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“…7. These estimates, both obtained by using the PT, are in good accordance with the valueD = 8.6032, obtained by Rachadi and Benyoussef, from cluster algorithms [6].…”

Section: Values Of Lsupporting

confidence: 89%

First-order phase transitions: A study through the parallel tempering method

Fiore

2008

Phys. Rev. E

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“…On the other hand, the metastability is becoming a serious problem in high-performance very large scale integration (VLSI) in complimentary metal-oxide semiconductor dynamic D-latch [36]. Recently, Bouabci and Carneiro [37], and Rachadi and Benyoussef [38] have presented the Monte Carlo cluster algorithm to eliminate the metastability in the first-order phase transitions of the spin models. We should also note that these figures, especially Fig.…”

Section: Article In Pressmentioning

confidence: 99%

Multicritical phase diagrams of the ferromagnetic spin- Blume–Emery–Griffiths model with repulsive biquadratic coupling including metastable phases: The cluster variation method and the path probability method with the point distribution

Keskín

Canko

2008

Journal of Magnetism and Magnetic Materials

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“…Several studies have shown the efficiency of cluster algorithms in reducing the critical slowing down [5]. More recently, it has been shown that the cluster dynamics may practically eliminate metastability in first order phase transitions So far this has been achieved only for the Blume-EmeryGriffiths (BEG) spin-1 model [7,8], for which a special cluster algorithm has been developed [9,10]. * Electronic address: fiore@if.usp.br † Electronic address: ceugenio@if.usp.br…”

Section: Introductionmentioning

confidence: 99%

Obtaining pressure versus concentration phase diagrams in spin systems from Monte Carlo simulations

Fiore

Carneiro

2007

Phys. Rev. E

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We propose an efficient procedure for determining phase diagrams of systems that are described by spin models. It consists of combining cluster algorithms with the method proposed by Sauerwein and de Oliveira where the grand canonical potential is obtained directly from the Monte Carlo simulation, without the necessity of performing numerical integrations. The cluster algorithm presented in this paper eliminates metastability in first order phase transitions allowing us to locate precisely the firstorder transitions lines. We also produce a different technique for calculating the thermodynamic limit of quantities such as the magnetization whose infinite volume limit is not straightforward in first order phase transitions. As an application, we study the Andelman model for Langmuir monolayers made of chiral molecules that is equivalent to the Blume-Emery-Griffiths spin-1 model. We have obtained the phase diagrams in the case where the intermolecular forces favor interactions between enantiomers of the same type (homochiral interactions). In particular, we have determined diagrams in the surface pressure versus concentration plane which are more relevant from the experimental point of view and less usual in numerical studies.

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Mixed cluster Monte Carlo algorithms for the Blume-Emery-Griffiths model

Cited by 14 publications

References 13 publications

First-order phase transitions: A study through the parallel tempering method

First-order phase transitions: A study through the parallel tempering method

Multicritical phase diagrams of the ferromagnetic spin- Blume–Emery–Griffiths model with repulsive biquadratic coupling including metastable phases: The cluster variation method and the path probability method with the point distribution

Obtaining pressure versus concentration phase diagrams in spin systems from Monte Carlo simulations

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