Monte Carlo study of the spin-1 Baxter-Wu model

Costa, M.; Plascak, J. A.

doi:10.1590/s0103-97332004000300017

Cited by 7 publications

(3 citation statements)

References 13 publications

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“…A similar conclusion was drawn in Ref. [28], where using importance sampling Monte Carlo simulations for the special case with ∆ = 0 the values ν = 0.617(3), α = 0.692 (6), and γ = 1.13(1) were obtained. The complementary Monte Carlo results of Ref.…”

Section: Introductionsupporting

confidence: 85%

“…For the purposes of the present study we do not use the final estimate of g(E) to compute thermodynamic averages but rather employ it as a weight function in a final production run. The sampled observables include estimates of the mean energy E , the order parameter m which is estimated from the root mean square average of the magnetization per site of the three sublattices A, B, and C [28,29,31]…”

Section: A Wang-landau Simulationsmentioning

confidence: 99%

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Universality in the two-dimensional dilute Baxter-Wu model

Vasilopoulos,

Fytas,

Vatansever

et al. 2022

Preprint

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We study the question of universality in the two-dimensional spin-1 Baxter-Wu model in the presence of a crystal field ∆. We employ extensive numerical simulations of two types, providing us with complementary results: Wang-Landau sampling at fixed values of ∆ and a parallelized variant of the multicanonical approach performed at constant temperature T . A detailed finite-size scaling analysis in the regime of second-order phase transitions in the (∆, T ) phase diagram indicates that the transition belongs to the universality class of the 4-state Potts model. Previous controversies with respect to the nature of the transition are discussed and possibly attributed to the presence of strong finite-size effects, especially as one approaches the pentacritical point of the model.

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Section: Introductionsupporting

confidence: 85%

Section: A Wang-landau Simulationsmentioning

confidence: 99%

Universality in the two-dimensional dilute Baxter-Wu model

Vasilopoulos,

Fytas,

Vatansever

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…A similar conclusion was drawn in Ref. [10], where using importance sampling Monte Carlo simulations for the special case with ∆ = 0 the values ν = 0.617(3), α = 0.692 (6), and γ = 1.13(1) were obtained. The complementary Monte Carlo work of Ref.…”

Section: Introductionsupporting

confidence: 85%

Multicanonical simulations of the 2D spin-1 Baxter-Wu model in a crystal field

Fytas

Vasilopoulos

Vatansever

et al. 2022

J. Phys.: Conf. Ser.

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We investigate aspects of universality in the two-dimensional (2D) spin-1 Baxter-Wu model in a crystal field Δ using a parallel version of the multicanonical algorithm employed at constant temperature T. A detailed finite-size scaling analysis in the continuous regime of the Δ – T phase diagram of the model indicates that the transition belongs to the universality class of the 4-state Potts model. The presence of first-order-like finite-size effects that become more pronounced as one approaches the pentacritical point of the model is highlighted and discussed.

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