Phase diagram for the antiferromagnetic Blume-Capel model near tricriticality

Kimel, J.D.; Rikvold, Per Arne; Wang, Yung‐Li

doi:10.1103/physrevb.45.7237

Cited by 55 publications

(29 citation statements)

References 40 publications

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“…It also predicts the existence of the dynamic multicritical points. However the mean-field approximation can produce spurious results that should be checked by other methods, such as Monte-Carlo simulations [39] or numerical transfer matrix calculations [40].…”

Section: The Model and Derivation Of Mean-field Dynamic Equationsmentioning

confidence: 99%

Dynamic phase transition and multicritical dynamic phase diagrams of the kinetic spin-3/2 Blume–Emery–Griffiths model with repulsive biquadratic coupling under a time-dependent oscillating external field

Deviren

Keskín

Canko

2008

Computer Physics Communications

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Section: The Model and Derivation Of Mean-field Dynamic Equationsmentioning

confidence: 99%

Dynamic phase transition and multicritical dynamic phase diagrams of the kinetic spin-3/2 Blume–Emery–Griffiths model with repulsive biquadratic coupling under a time-dependent oscillating external field

Deviren

Keskín

Canko

2008

Computer Physics Communications

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“…5 with those for the generalized BEG models illustrated in Refs. [34][35][36][37][38]93,94], one can deduce the order and universality class of the phase transitions that correspond to CV Peak #1 and #2.…”

Section: Finite-size Scaling Analysismentioning

confidence: 99%

Underpotential deposition of Cu on Au(111) in sulfate-containing electrolytes: A theoretical and experimental study

Zhang

Sung

Rikvold

et al. 1996

The Journal of Chemical Physics

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We study the underpotential deposition of Cu on single-crystal Au(111) electrodes in sulfate-containing electrolytes by a combination of computational statistical-mechanics based lattice-gas modeling and experiments. The experimental methods are in situ cyclic voltammetry and coulometry and ex situ Auger electron spectroscopy and low-energy electron diffraction. The experimentally obtained voltammetric current and charge densities and adsorbate coverages are compared with the predictions of a two-component lattice-gas

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“…The simplest example of such a system is the classical antiferromagnetic Blume-Capel model (AF-BC) [9,10] in the presence of a magnetic field with the two fundamental bonds ordered ( , ≠ Ø) and Fig. 1).…”

Section: Introductionmentioning

confidence: 99%

The effective‐site percolation approach in two dimensions

Pawłowski

2007

Physica Status Solidi (b)

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A new Monte Carlo cluster approach to describe the order -order and order -disorder transitions in twodimensional (2D) correlated systems is presented. It is shown that a phase transition of a physical system can be correctly described in terms of the percolation language of the effective-site approach. In contrast to the well-known bond approaches, the method proposed does not require additional assumptions as to the acceptance of the bonds. The new idea is based on the site approach to elementary ordered plaquettes, leading to the accurate coincidence of percolation and the phase transitions in 2D. Here I present the analysis of the spin-system in the Blume -Capel model and the charged-system in the atomic limit of the extended Hubbard model. In both cases the interpretation of the phase transition is made in terms of the percolation of different types of order. The new method allows precise identification of the pure and mixed phases.

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Phase diagram for the antiferromagnetic Blume-Capel model near tricriticality

Cited by 55 publications

References 40 publications

Dynamic phase transition and multicritical dynamic phase diagrams of the kinetic spin-3/2 Blume–Emery–Griffiths model with repulsive biquadratic coupling under a time-dependent oscillating external field

Dynamic phase transition and multicritical dynamic phase diagrams of the kinetic spin-3/2 Blume–Emery–Griffiths model with repulsive biquadratic coupling under a time-dependent oscillating external field

Underpotential deposition of Cu on Au(111) in sulfate-containing electrolytes: A theoretical and experimental study

The effective‐site percolation approach in two dimensions

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