Short-time dynamics for the spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mstyle scriptlevel="1"><mml:mfrac bevelled="false"><mml:mn>3</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:mstyle></mml:math>Blume-Capel model

Grandi, B. C. S.; Figueiredo, W.

doi:10.1103/physreve.70.056109

Cited by 26 publications

(14 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since then, a great deal of works on phase transitions and critical phenomena using Monte Carlo simulations in the short-time regime have been published and their results are in good agreement with theoretical predictions and numerical results found in equilibrium [4,5,6,7,8,9,10,11,12,13]. In addition, the new approach has proven to be useful in determining with good precision the dynamic exponent z, as well as the new exponent θ which governs the so-called critical initial slip [14], the anomalous behavior of the magnetization when the system is quenched to the critical temperature T c .…”

Section: Introductionsupporting

confidence: 69%

An alternative order parameter for the 4-state potts model

Fernandes

Arashiro

Felício

et al. 2006

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

We have investigated the dynamic critical behavior of the two-dimensional 4-state Potts model using an alternative order parameter first used by Vanderzande [J. Phys. A: Math. Gen. 20, L549 (1987)] in the study of the Z(5) model. We have estimated the global persistence exponent θg by following the time evolution of the probability P (t) that the considered order parameter does not change its sign up to time t. We have also obtained the critical exponents θ, z, ν, and β using this alternative definition of the order parameter and our results are in complete agreement with available values found in literature.

show abstract

Section: Introductionsupporting

confidence: 69%

An alternative order parameter for the 4-state potts model

Fernandes

Arashiro

Felício

et al. 2006

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

show abstract

“…The pioneering theoretical study of the STD, which was formulated in the context of the dynamic Renormalization Group [9], predicts the existence of a new exponent related to the initial increase of the order parameter. This prediction has subsequently been validated by a large body of numerical evidence obtained in a variety of models [5,8,[10][11][12][13][14]. However, only few studies have been performed in order to generalize these concepts to systems with LR interactions.…”

Section: Introductionmentioning

confidence: 85%

Study of the nonequilibrium critical quenching and the annealing dynamics for the long-range Ising model in one dimension

2011

View full text Add to dashboard Cite

Extensive Monte Carlo simulations are employed in order to study the dynamic critical behaviour of the one-dimensional Ising magnet, with algebraically decaying long-range interactions of the form 1 r d+σ , with σ = 0.75. The critical temperature, as well as the critical exponents, are evaluated from the power-law behaviour of suitable physical observables when the system is quenched from uncorrelated states, corresponding to infinite temperature, to the critical point. These results are compared with those obtained from the dynamic evolution of the system when it is suddenly annealed at the critical point from the ordered state. Also, the critical temperature in the infinite interaction limit is obtained by means of a finite-range scaling analysis of data measured with different truncated-interaction range. All the estimated static critical exponents (γ/ν, β/ν, and 1/ν ) are in good agreement with Renormalization Group (RG) results and previously reported numerical data obtained under equilibrium conditions. On the other hand, the dynamic exponent of the initial increase of the magnetization (θ) was close to RG predictions. However, the dynamic exponent z of the time correlation length is slightly different than the RG results likely due to the fact that either it may depend on the specific dynamics used or because the two-loop expansion used in the RG analysis may be insufficient.

show abstract

“…Grandi et al discussed dynamic critical exponents using the Monte Carlo simulations and short-time dynamic scaling [18]. Keskin and Canko studied the dynamic behavior of spin-3/2 Ising model through the path probability method [19,20] and the Onsager theory of irreversible thermodynamics [21,22].…”

Section: Introductionmentioning

confidence: 99%

Effective-field theory on the kinetic spin-3/2 Ising model

Shi

2015

Journal of Magnetism and Magnetic Materials

View full text Add to dashboard Cite

Short-time dynamics for the spin-32Blume-Capel model

Cited by 26 publications

References 11 publications

An alternative order parameter for the 4-state potts model

An alternative order parameter for the 4-state potts model

Study of the nonequilibrium critical quenching and the annealing dynamics for the long-range Ising model in one dimension

Effective-field theory on the kinetic spin-3/2 Ising model

Contact Info

Product

Resources

About