Nonequilibrium critical dynamics of the two-dimensional Ising model quenched from a correlated initial state

Környei, László; Pleimling, Michel; Iglói, Ferenc

doi:10.1103/physreve.77.011127

Cited by 2 publications

(3 citation statements)

References 40 publications

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“…They are in good agreement with previous estimates [42] and support the assertion that the classical DE model belongs to the universality class of the classical Heisenberg model. Finally, let us mention that Környei et al [43] have studied the effects of a sudden variation in the form of the interaction, i.e. a 'quench', where instead of the temperature, the coupling constants are altered so as to suddenly change the universality class.…”

Section: Second-order Transitionsmentioning

confidence: 99%

Study of phase transitions from short-time non-equilibrium behaviour

Albano¹,

Bab²,

Baglietto³

et al. 2011

Rep. Prog. Phys.

113

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We review recent progress in the understanding of phase transitions and critical phenomena, obtained by means of numerical simulations of the early dynamic evolution of systems prepared at well-specified initial conditions. This field has seen exhaustive scientific research during the last decade, when the renormalization-group (RG) theoretical results obtained at the end of the 1980s were applied to the interpretation of dynamic Monte Carlo simulation results. While the original RG theory is restricted to critical phenomena under equilibrium conditions, numerical simulations have been applied to the study of far-from-equilibrium systems and irreversible phase transitions, the investigation of the behaviour of spinodal points close to first-order phase transitions and the understanding of the early-time evolution of self-organized criticality (SOC) systems when released far form the SOC regime. The present review intends to provide a comprehensive overview of recent applications in those fields, which can give the flavour of the main ideas, methods and results, and to discuss the directions for further studies. All of these numerical results pose new and interesting theoretical challenges that remain as open questions to be addressed by new research in the coming years.

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Section: Second-order Transitionsmentioning

confidence: 99%

Study of phase transitions from short-time non-equilibrium behaviour

Albano¹,

Bab²,

Baglietto³

et al. 2011

Rep. Prog. Phys.

113

View full text Add to dashboard Cite

show abstract

“…Afterward, the magnetization of the models is measured by using the Eqs. ( 8) for the FSP model or (11) for the 3TU and BW models. In order to obtain a null value of the initial magnetization, some sites of the lattices are randomly chosen and its signs (or values) are changed.…”

Section: Global Persistence Exponent θ Gmentioning

confidence: 99%

“…Since the works by Janssen, Schaub and Schmittmann [1], and Huse [2], the critical properties of statistical systems have been a subject of consid-erable interest in nonequilibrium physics [3,4,5,6,7,8,9,10,11,12,13]. By using renormalization group methods and numerical calculations, respectively, they showed that there is universality and scaling behavior even at the early stage of the time evolution after quenching from high temperatures to the critical one.…”

Section: Introductionmentioning

confidence: 99%

A comparative study of the dynamic critical behavior of the four-state Potts like models

Arashiro

Fernandes

Felício

2009

Physica A: Statistical Mechanics and its Applications

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a b s t r a c tWe investigate the short-time critical dynamics of the Baxter-Wu (BW) and n = 3 Turban (3TU) models to estimate their global persistence exponent θ g . We conclude that this new dynamical exponent can be useful in detecting differences between the critical behavior of these models which are very difficult to obtain in usual simulations. In addition, we estimate again the dynamical exponents of the four-state Potts (FSP) model in order to compare them with results previously obtained for the BW and 3TU models and to decide between two sets of estimates presented in the current literature. We also revisit the shorttime dynamics of the 3TU model in order to check if, as already found for the FSP model, the anomalous dimension of the initial magnetization x 0 could be equal to zero.

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Nonequilibrium critical dynamics of the two-dimensional Ising model quenched from a correlated initial state

Cited by 2 publications

References 40 publications

Study of phase transitions from short-time non-equilibrium behaviour

Study of phase transitions from short-time non-equilibrium behaviour

A comparative study of the dynamic critical behavior of the four-state Potts like models

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