Monte Carlo study of the triangular XY vector Blume–Emery–Griffiths model

Santos-Filho, J. B.; Plascak, J. A.; Landau, D. P.

doi:10.1016/j.physa.2009.12.067

Cited by 9 publications

(3 citation statements)

References 10 publications

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“…In physics this technique can be traced back to Monte Carlo (MC) simulations [2]. Beyond relevance as physics models, the ferromagnetic Ising model [3][4][5], the XY model [6] and the Potts model [7,8] can be seen as agent-based models for opinion dynamics. Other versions of opinion models have also been proposed, such as the Sznajd model [9], the majority rule model [10][11][12], the voter model [13,14], and the social impact model [15].…”

Section: Introductionmentioning

confidence: 99%

Opinion percolation in structured population

Yang

Huang

2015

Computer Physics Communications

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In a recent work [Shao $et$ $al$ 2009 Phys. Rev. Lett. \textbf{108} 018701], a nonconsensus opinion (NCO) model was proposed, where two opinions can stably coexist by forming clusters of agents holding the same opinion. The NCO model on lattices and several complex networks displays a phase transition behavior, which is characterized by a large spanning cluster of nodes holding the same opinion appears when the initial fraction of nodes holding this opinion is above a certain critical value. In the NCO model, each agent will convert to its opposite opinion if there are more than half of agents holding the opposite opinion in its neighborhood. In this paper, we generalize the NCO model by assuming that each agent will change its opinion if the fraction of agents holding the opposite opinion in its neighborhood exceeds a threshold $T$ ($T\geq 0.5$). We call this generalized model as the NCOT model. We apply the NCOT model on different network structures and study the formation of opinion clusters. We find that the NCOT model on lattices displays a continuous phase transition. For random graphs and scale-free networks, the NCOT model shows a discontinuous phase transition when the threshold is small and the average degree of the network is large, while in other cases the NCOT model displays a continuous phase transition

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Section: Introductionmentioning

confidence: 99%

Opinion percolation in structured population

Yang

Huang

2015

Computer Physics Communications

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“…Our analysis shows that such interactions may profoundly affect the phase stability and lead to the appearance of new ionic liquid states. This is relevant also in the context of general interest to the effects of nonnearest neighbor interactions in statistical mechanics [42][43][44][45][46]. We investigate here how this behavior affects the capacitance and energy storage.…”

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confidence: 99%

Ionic liquids in conducting nanoslits: how important is the range of the screened electrostatic interactions?

Groda

Dudka

Oshanin

et al. 2022

J. Phys.: Condens. Matter

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Analytical models for capacitive energy storage in nanopores attract growing interest as they can provide in-depth analytical insights into charging mechanisms. So far, such approaches have been limited to models with nearest-neighbor interactions. This assumption is seemingly justified due to a strong screening of inter-ionic interactions in narrow conducting pores. However, how important is the extent of these interactions? Does it affect the energy storage and phase behavior of confined ionic liquids? Herein, we address these questions using a two-dimensional lattice model with next-nearest and further neighbor interactions developed to describe ionic liquids in conducting slit confinements. With simulations and analytical calculations, we find that next-nearest interactions enhance capacitance and stored energy densities and may considerably affect the phase behavior. In particular, in some range of voltages, we reveal the emergence of large-scale mesophases that have not been reported before but may play an important role in energy storage.

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“…On the theoretical point of view, one of the extensively studied models is the site diluted XY model. The XY model was originally introduced by Matsubara and Matsuda [3] to describe the behavior of liquid helium [4], but has also been quite suitable to describe the critical behavior of some anisotropic insulating antiferromagnets [5,6]. The three-dimensional (3d) version of the classical XY model with site dilution also showed a good agreement with some experimental results of some physical realizations, such as the antiferromagnets Co 1−x Zn x (C 5 H 5 NO) 6 (ClO 4 ) 2 [7] and [Co p Zn1 p (C 5 H 5 NO)](NO 3 ) 2 [8].…”

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confidence: 99%

Monte Carlo simulations of the site-diluted 3d XY model with superexchange interaction: Application to Fe[Se2CN(C2H5)2]2Cl–Zn[S2CN(C2H5)2]2 diluted magnets

Santos-Filho

Plascak

2015

Physics Letters A

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(C2H5)2]2. An extra superexchange interaction is assumed between next-nearest-neighbors on a simple cubic lattice, which are induced by a diluted ion. The critical properties are obtained by Monte Carlo simulations using a hybrid algorithm, single histograms procedures and finite-size scaling techniques. Quite good fits to the experimental results of the ordering temperature are obtained, namely its much less rapidly decreasing with dilution than predicted by the standard diluted 3d XY model, and the change in curvature around 86% of the magnetic Fe[Se2CN(C2H5)2]2Cl compound.

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Monte Carlo study of the triangular XY vector Blume–Emery–Griffiths model

Cited by 9 publications

References 10 publications

Opinion percolation in structured population

Opinion percolation in structured population

Ionic liquids in conducting nanoslits: how important is the range of the screened electrostatic interactions?

Monte Carlo simulations of the site-diluted 3d XY model with superexchange interaction: Application to Fe[Se2CN(C2H5)2]2Cl–Zn[S2CN(C2H5)2]2 diluted magnets

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