Dynamic phase transitions in the presence of quenched randomness

Nikolaos Fytas, Erol Vatansever

Research output: Contribution to journalArticle

2 Citations (Scopus)
26 Downloads (Pure)

Abstract

We present an extensive study of the effects of quenched disorder on the dynamic phase transitions of kinetic spin models in two dimensions. We undertake a numerical experiment performing Monte Carlo simulations of the square-lattice random-bond Ising and Blume-Capel models under a periodically oscillating magnetic field. For the case of the Blume-Capel model we analyze the universality principles of the dynamic disordered-induced continuous transition at the low-temperature regime of the phase diagram. A detailed finite-size scaling analysis indicates that both nonequilibrium phase transitions belong to the universality class of the corresponding equilibrium random Ising model.
Original languageEnglish
Article number062146
Number of pages10
JournalPhysical review E: Statistical, Nonlinear, and Soft Matter Physics
Volume97
Issue number6
DOIs
Publication statusPublished - 25 Jun 2018

Fingerprint

Blume-Capel Model
Randomness
Universality
Phase Transition
Nonequilibrium Phase Transitions
Quenched Disorder
Spin Models
Finite-size Scaling
Kinetic Model
Square Lattice
Ising
Phase Diagram
Ising Model
Two Dimensions
Monte Carlo Simulation
Magnetic Field
Numerical Experiment
Ising model
phase diagrams
disorders

Bibliographical note

©2018 American Physical Society

Keywords

  • Dynamic phase transitions
  • Quenched bond randomness
  • Monte Carlo simulations

Cite this

Dynamic phase transitions in the presence of quenched randomness. / Fytas, Nikolaos; Vatansever, Erol.

In: Physical review E: Statistical, Nonlinear, and Soft Matter Physics, Vol. 97, No. 6, 062146, 25.06.2018.

Research output: Contribution to journalArticle

@article{e3e45090b4a948b8b6bc0f01b65d7671,
title = "Dynamic phase transitions in the presence of quenched randomness",
abstract = "We present an extensive study of the effects of quenched disorder on the dynamic phase transitions of kinetic spin models in two dimensions. We undertake a numerical experiment performing Monte Carlo simulations of the square-lattice random-bond Ising and Blume-Capel models under a periodically oscillating magnetic field. For the case of the Blume-Capel model we analyze the universality principles of the dynamic disordered-induced continuous transition at the low-temperature regime of the phase diagram. A detailed finite-size scaling analysis indicates that both nonequilibrium phase transitions belong to the universality class of the corresponding equilibrium random Ising model.",
keywords = "Dynamic phase transitions, Quenched bond randomness, Monte Carlo simulations",
author = "Nikolaos Fytas and Erol Vatansever",
note = "{\circledC}2018 American Physical Society",
year = "2018",
month = "6",
day = "25",
doi = "10.1103/PhysRevE.97.062146",
language = "English",
volume = "97",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "APS",
number = "6",

}

TY - JOUR

T1 - Dynamic phase transitions in the presence of quenched randomness

AU - Fytas, Nikolaos

AU - Vatansever, Erol

N1 - ©2018 American Physical Society

PY - 2018/6/25

Y1 - 2018/6/25

N2 - We present an extensive study of the effects of quenched disorder on the dynamic phase transitions of kinetic spin models in two dimensions. We undertake a numerical experiment performing Monte Carlo simulations of the square-lattice random-bond Ising and Blume-Capel models under a periodically oscillating magnetic field. For the case of the Blume-Capel model we analyze the universality principles of the dynamic disordered-induced continuous transition at the low-temperature regime of the phase diagram. A detailed finite-size scaling analysis indicates that both nonequilibrium phase transitions belong to the universality class of the corresponding equilibrium random Ising model.

AB - We present an extensive study of the effects of quenched disorder on the dynamic phase transitions of kinetic spin models in two dimensions. We undertake a numerical experiment performing Monte Carlo simulations of the square-lattice random-bond Ising and Blume-Capel models under a periodically oscillating magnetic field. For the case of the Blume-Capel model we analyze the universality principles of the dynamic disordered-induced continuous transition at the low-temperature regime of the phase diagram. A detailed finite-size scaling analysis indicates that both nonequilibrium phase transitions belong to the universality class of the corresponding equilibrium random Ising model.

KW - Dynamic phase transitions

KW - Quenched bond randomness

KW - Monte Carlo simulations

U2 - 10.1103/PhysRevE.97.062146

DO - 10.1103/PhysRevE.97.062146

M3 - Article

VL - 97

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 6

M1 - 062146

ER -