Dynamic phase transitions in the presence of quenched randomness

Vatansever, Erol; Fytas, Nikolaos G.

doi:10.1103/physreve.97.062146

Cited by 22 publications

(24 citation statements)

References 79 publications

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“…It has to be noted here that though we do not have any value measured at the critical temperature which has been determined (as common intersection) from the Binder cumulant versus temperature curves for different L, the values of Q & χ Q have been read out from the respective graphs which represent the average values at any temperature. Moreover, the detailed investigations done previously [8], show that the above scaling forms are also applicable to classify the universality classes of the driven magnetic systems. Fig.3a.…”

Section: Resultsmentioning

confidence: 76%

“…The nonequilibrium phase transitions in other magnetic models (e.g., Blume-Capel, Blume-Emery-Griffiths models etc.) driven by oscillating (in time but uniform over the space) magnetic field have been studied [6,7,8] also in last few years to present some interesting nonequilibrium behaviours. The nonequilibrium phase transitions were studied in [9,10,11,12,13] mixed spin systems driven by oscillating magnetic field, recently.…”

Section: Introductionmentioning

confidence: 99%

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Universality Class of the Nonequilibrium Phase Transition in Two-Dimensional Ising Ferromagnet Driven by Propagating Magnetic Field Wave

Halder¹,

Acharyya²

2019

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The finite size analysis of the nonequilibrium phase transition, in two dimensional Ising ferromagnet driven by plane propagating magnetic wave, is studied by Monte Carlo simulation. It is observed that the system undergoes a nonequilibrium dynamic phase transition from a high temperature dynamically symmetric (propagating) phase to a low temperature dynamically symmetry-broken (pinned) phase as the system is cooled below the transition temperature. This transition temperature is determined precisely by studying the fourth order Binder Cumulant of the dynamic order parameter as a function of temperature for different system sizes (L). From the finite size analysis of dynamic order parameter (Q L ∼ L − β ν ) and the dynamic susceptibility (χ Q L ∼ L γ ν ), we have estimated the critical exponents β/ν = 0.146 ± 0.025 and γ/ν = 1.869 ± 0.135 (measured from the data read at the critical temperature obtained from Binder cumulant), and γ/ν = 1.746 ± 0.017 (measured from the peak positions of dynamic susceptibility). Our results indicate that such driven Ising ferromagnet belongs to the same universality class of the two-dimensional equilibrium Ising ferromagnet (where β/ν = 1/8 and γ/ν = 7/4), within the limits of statistical errors.

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Section: Resultsmentioning

confidence: 76%

Section: Introductionmentioning

confidence: 99%

Universality Class of the Nonequilibrium Phase Transition in Two-Dimensional Ising Ferromagnet Driven by Propagating Magnetic Field Wave

Halder¹,

Acharyya²

2019

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“…Following Refs. [65][66][67][68] we chose J 1 + J 2 = 2 and J 1 > J 2 > 0; so r = J 2 /J 1 defines the disorder strength. It is clear that r = 1 corresponds to the pure 3D spin-1/2 Heisenberg AFM.…”

Section: Model and Simulation Detailsmentioning

confidence: 99%

Universality in the three-dimensional random bond quantum Heisenberg antiferromagnet

Kanbur

Vatansever

Polat

2020

Preprint

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The three-dimensional quenched random bond diluted (J1 − J2) quantum Heisenberg antiferromagnet is studied on a simple-cubic lattice. Using extensive stochastic series expansion quantum Monte Carlo simulations, we perform very long runs for L×L×L lattice up to L = 48. By employing standard finite-size scaling method, the numerical values of the Néel temperature are determined with high precision as a function of the coupling ratio r = J2/J1. Based on the estimated critical exponents, we find that the critical behavior of the considered model belongs to the pure classical 3D O(3) Heisenberg universality class.

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“…For a given field period P , the relaxation time depends on the several system parameters such as the temperature T , the magnetic field amplitude h 0 , and the exchange interactions acting in the system. In several works, modified versions of the problem such as the kinetic Ising model with next-nearest neighbor interactions [11], kinetic Blume-Capel (BC) model [12], as well as site and bond diluted systems [13,14] have been handled.…”

Section: Dynamic Phase Transition (Dpt) Properties Of Kinetic Ising M...mentioning

confidence: 99%

Dynamic phase transition properties of kinetic Ising model in the presence of additive white noise

Yüksel

2018

Preprint

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Using Monte Carlo simulations based on the Metropolis algorithm, we investigate the dynamic phase transition properties of kinetic Ising model driven by a sinusoidally oscillating magnetic field in the presence of additive white noise. We calculate equilibrium and dynamic properties such as the temperature dependence of average magnetization and magnetic specific heat, as well as the period dependence of dynamic order parameter and scaled variance. After determining the critical period at which order-disorder transition takes place, we perform finite size scaling analysis to extract the exponent ratios, and discuss the variation of these properties in the presence of noisy magnetic field. As a general result, we show that for a noisy system, DPT does not fall into a universality class of the conventional dynamic (and also equilibrium) universality class of the Ising model.

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Dynamic phase transitions in the presence of quenched randomness

Cited by 22 publications

References 79 publications

Universality Class of the Nonequilibrium Phase Transition in Two-Dimensional Ising Ferromagnet Driven by Propagating Magnetic Field Wave

Universality Class of the Nonequilibrium Phase Transition in Two-Dimensional Ising Ferromagnet Driven by Propagating Magnetic Field Wave

Universality in the three-dimensional random bond quantum Heisenberg antiferromagnet

Dynamic phase transition properties of kinetic Ising model in the presence of additive white noise

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