Kinetics of spinodal decomposition in the Ising model with dynamic lattice liquid (DLL) dynamics

Hałagan, Krzysztof; Polanowski, Piotr

doi:10.1016/j.jnoncrysol.2009.05.019

Cited by 7 publications

(6 citation statements)

References 21 publications

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“…For the data points above T c linear t can be made with a slope −1.03±0.01. This value, closer to 1 than obtained in [14], conrms the well-known Arrhenius-type diusive behavior with energetic barrier 2J. Self-diusion coecients increase for temperatures below critical value because in equilibrium state system is fully separated and diusion coecients tend back to athermal values.…”

Section: Resultssupporting

confidence: 87%

“…The dynamics of particles was realized in terms of the DLL model [9], which has been successfully applied for various non-equilibrium physical problems like diusion limited aggregation [10], evolution of reaction front [11], polymer dynamics [12], gelation process [13] and preliminary studies of phase separation in binary system [14]. In this work a comprehensive explanation of domain growth kinetics and diusive behaviour in wide temperature range is presented.…”

Section: Simulation Methodsmentioning

confidence: 99%

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Order-Disorder Transition in 2D Conserved Spin System with Cooperative Dynamics

Hałagan

Polanowski

2015

Acta Phys. Pol. A

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In this work Monte Carlo simulations with usage of dynamic lattice liquid model are presented, instead of the widely used direct exchange or vacancy dynamics, to investigate the dynamics of phase separation phenomenon in spin conserved system with all lattice sites occupied. The dynamic behaviour of domain growth and particle diusion is discussed for the modied conserved order parameter Ising model. The dynamic lattice liquid model dynamics enables non-locally correlated relaxation dynamics and allows to simulate dense systems in absence of vacancies and parallel treatment of all spins. This approach involves cooperative movement of system elements enabling observation of the order-disorder phase transition in a system with highly correlated motions. Simulations were performed on 2D triangular lattice for several investigated temperatures. Presented results include temporal evolution of domain morphology and diusion of system elements.

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Section: Resultssupporting

confidence: 87%

Section: Simulation Methodsmentioning

confidence: 99%

Order-Disorder Transition in 2D Conserved Spin System with Cooperative Dynamics

Hałagan

Polanowski

2015

Acta Phys. Pol. A

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“…The only one model operating in a fully dense system (density factor equal to 1) with proper dynamics is the dynamic lattice liquid (DLL) model [ 17 ]. This model has already been successfully applied to investigate many non-equilibrium physical phenomena including diffusion limited aggregation [ 18 ], reaction–diffusion fronts propagation [ 19 ], dynamics of linear [ 20 ] as well as cross-linked polymer systems [ 21 ], spinodal decomposition [ 22 ], and diffusion in crowded environments [ 23 ].…”

Section: Methodsmentioning

confidence: 99%

Computational studies of intermolecular interactions in aqueous solutions of poly(vinylmethylether)

et al. 2014

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Thermo-responsive materials, such as poly(vinylmethylether) (PVME), attract a common attention because of their unique physical properties resulted from metastable equilibrium between various types of interactions. In this work Monte Carlo (MC) and quantum-mechanical (QM) methods were used to study excluded volume and electrostatic interactions respectively. The graining procedure of PVME-water system was proposed. Its implementation to MC calculations allowed to distinguish how two water fractions differ on dynamics. The QM calculations showed that the formation of cyclic clusters leads to the lengthening of the hydrogen bonds and consequently to higher energies in comparison to linear forms, which is crucial looking at an application of QM results to MC calculation considering thermal interactions.

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“…Moreover, the dynamic properties, which it produces, are in good agreement with those established for liquids in general. 60,61 The DLL model has been successfully used to characterize many complex phenomena, like: diffusion limited aggregation, 62 reaction diffusion front problems, 63 polymer solution dynamics, 64 gelation in crosslinked polymeric systems, [65][66][67][68] spinodal decomposition 69,70 and diffusion in crowed environments. 71 The Monte Carlo Step (MCS) applied to realize the DLL model in the athermal case reflects discrete time.…”

Section: Dynamic Lattice Liquid Modelmentioning

confidence: 99%

Diffusive properties of solvent molecules in the neighborhood of a polymer chain as seen by Monte-Carlo simulations

et al. 2016

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The influence of both polymer chain length and concentration on the mobility of solvent molecules in polymer solutions was studied by Monte Carlo simulations with the use of the dynamic lattice liquid (DLL) model. The poly(vinylmethylether)-water system was used as a model. Two different solvent (water) states with differing mobilities were distinguished in polymer solutions. The first one with high molecular mobility independent of polymer concentration corresponds to bulk solvent in real systems. The second state relates to so called bound solvent. In this case the solvent diffusivity decreases with polymer content. For diluted solutions the diffusion of bound solvent is affected by polymer chain length, precisely, by the ability of the polymer chain to undergo coil formation.

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Kinetics of spinodal decomposition in the Ising model with dynamic lattice liquid (DLL) dynamics

Cited by 7 publications

References 21 publications

Order-Disorder Transition in 2D Conserved Spin System with Cooperative Dynamics

Order-Disorder Transition in 2D Conserved Spin System with Cooperative Dynamics

Computational studies of intermolecular interactions in aqueous solutions of poly(vinylmethylether)

Diffusive properties of solvent molecules in the neighborhood of a polymer chain as seen by Monte-Carlo simulations

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