Short-time dynamics and critical behavior of the three-dimensional site-diluted Ising model

The dynamic critical behavior of the three-dimensional Heisenberg model with longrangecorrelated disorder was studied by using short-time Monte Carlo simulations at criticality.The static and dynamic critical exponents are determined. The simulation was performed fromordered initial state. The obtained values of the exponents are in a good agreement with resultsof the field-theoretic description of the critical behavior of this model in the two-loopapproximation.

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Thermal critical behavior and universality aspects of the three-dimensional random-field Ising model

The European Physical Journal B ◽

10.1140/epjb/e2006-00219-5 ◽

2006 ◽

Vol 51 (2) ◽

pp. 257-266 ◽

Cited By ~ 4

Author(s):

A. Malakis ◽

N. G. Fytas

Keyword(s):

Ising Model ◽

Random Field ◽

Critical Behavior ◽

Three Dimensional ◽

Random Field Ising Model

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Critical behavior of a three-dimensional random-bond Ising model using finite-time scaling with extensive Monte Carlo renormalization-group method

Physical Review E ◽

10.1103/physreve.81.051132 ◽

2010 ◽

Vol 81 (5) ◽

Cited By ~ 12

Author(s):

Wanjie Xiong ◽

Fan Zhong ◽

Weilun Yuan ◽

Shuangli Fan

Keyword(s):

Monte Carlo ◽

Renormalization Group ◽

Ising Model ◽

Critical Behavior ◽

Finite Time ◽

Three Dimensional ◽

Group Method ◽

Renormalization Group Method ◽

Time Scaling ◽

Monte Carlo Renormalization Group

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Short—time dynamics of the three—dimensional O(4) model

Journal of Physics Conference Series ◽

10.1088/1742-6596/1012/1/012006 ◽

2018 ◽

Vol 1012 ◽

pp. 012006

Author(s):

W G Wanzeller ◽

R S Marques de Carvalho

Keyword(s):

Three Dimensional ◽

Time Dynamics ◽

Short Time

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Short Time Dynamics of an Irreversible Probabilistic Cellular Automaton

Modern Physics Letters B ◽

10.1142/s0217984998001001 ◽

1998 ◽

Vol 12 (21) ◽

pp. 873-879 ◽

Cited By ~ 15

Author(s):

T. Tomé ◽

J. R. Drugowich de Fel Icio

Keyword(s):

Ising Model ◽

Cellular Automaton ◽

Early Time ◽

Universality Class ◽

Kinetic Ising Model ◽

Time Dynamics ◽

Probabilistic Cellular Automaton ◽

Time Regime ◽

The One ◽

Short Time

We study the short-time dynamics of a three-state probabilistic cellular automaton. This automaton, termed TD model, possess "up-down" symmetry similar to Ising models, and displays continuous kinetic phase transitions belonging to the Ising model universality class. We perform Monte Carlo simulations on the early time regime of the two-dimensional TD model at criticality and obtain the dynamic exponent θ associated to this regime, and the exponents β/ν and z. Our results indicate that, although the model do not possess microscopic reversibility, it presents short-time universality which is consistent with the one of the kinetic Ising model.

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Non-Equilibrium Critical Dynamics of Ferromagnets with Long Range Correlated Defects

Solid State Phenomena ◽

10.4028/www.scientific.net/ssp.190.31 ◽

2012 ◽

Vol 190 ◽

pp. 31-34

Author(s):

Dmitry N. Kulikov ◽

Pavel V. Prudnikov

Keyword(s):

Critical Exponent ◽

Long Range ◽

Critical Behavior ◽

Disordered Systems ◽

Asymptotic Series ◽

Three Dimensional ◽

Time Regime ◽

Short Time ◽

Short Time Evolution ◽

Non Equilibrium

The simultaneous eﬀect of non-equilibrium initial states and correlation betweendefects of the structure on the evolution of anisotropic disordered systems at the critical pointwas analyzed. The ﬁeld theory description of the non-equilibrium critical behavior of three-dimensional disordered systems with the long-range correlated defects was given and the dy-namical critical exponent of the short-time evolution was calculated in the two-loop approxima-tion without the use of the "-expansion. The values of the dynamical critical exponent obtainedby using various methods for summing asymptotic series were compared with the results ofthe computer simulation of the non-equilibrium critical behavior of the three-dimensional dis-ordered Ising model in the short-time regime.

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