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RW Chantrell

Publications and source records attributed to RW Chantrell.

6 recordsLinked to original sources

Stokesian Dynamics Simulations of Ferromagnetic Colloidal Dispersions Subjected to a Sinusoidal Shear Flow.

We have conducted Stokesian dynamics simulations to investigate the dynamic properties of ferromagnetic colloidal dispersions subjected to a sinusoidal shear flow. Thick chain-like cluster formation is significantly influenced by an oscillatory shear flow even if the amplitude is relatively small, since the internal structures of thick chain-like clusters are highly sensitive to the change in the direction of the shear flow. The motion of thick chain-like clusters is out of phase to a sinusoidal shear rate, and the phase difference is strongly correlated with that of the viscosity and normal stress coefficients. The viscoelastic properties become more apparent with decreasing frequency of the oscillatory shear flow, since such properties have a strong relationship with the thick chain-like cluster formation. In other words, since thick chain-like clusters are more stable for the case of a smaller frequency shear flow, such stable clusters induce significant viscoelastic properties of ferromagnetic colloidal dispersions in a strong, applied magnetic field. Copyright 2000 Academic Press.

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Monte carlo simulation with time step quantification in terms of langevin dynamics

For the description of thermally activated dynamics in systems of classical magnetic moments numerical methods are desirable. We consider a simple model for isolated magnetic particles in a uniform field with an oblique angle to the easy axis of the particles. For this model, a comparison of the Monte Carlo method with Langevin dynamics yields new insight to the interpretation of the Monte Carlo process, leading to the implementation of a new algorithm where the Monte Carlo step is time quantified. The numeric results for the characteristic time of the magnetization reversal are in excellent agreement with asymptotic solutions for the Neel-Brown model.

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Brownian Dynamics Simulations of Ferromagnetic Colloidal Dispersions in a Simple Shear Flow.

We have carried out Brownian dynamics simulations to investigate the behavior of clusters of ferromagnetic particles in a colloidal dispersion subjected to a simple shear flow. The results have been compared with those of Stokesian dynamics and Monte Carlo simulations. The main results obtained here are summarized as follows. The Brownian dynamics method can capture thick chain-like clusters formed along a magnetic field, in agreement with the Stokesian dynamics and Monte Carlo methods. However, Brownian motions of the particles give a subtle influence on the internal structure of thick chain-like clusters even in the case in which the magnetostatic interactions dominate the particle Brownian motions. The Stokesian dynamics method leads to a physically unreasonable cluster formation in the case in which the particle Brownian motions play an important role compared with that of the magnetic particle-particle interactions. We conclude that the Brownian dynamics method gives rise to physically realistic cluster formations in simulation of colloidal dispersions and therefore the method is to be preferred to the Stokesian dynamics method. Copyright 1999 Academic Press.

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Stokesian Dynamics Simulations of Ferromagnetic Colloidal Dispersions in a Simple Shear Flow.

We have investigated the behavior of clusters of ferromagnetic particles in a colloidal dispersion subjected to a simple shear flow. To do so, the Stokesian dynamics method has been used under the assumption that the effect of Brownian motion is negligible. For the case of no shear flow, the aggregate structures obtained by the Stokesian dynamics simulations agree well with Monte Carlo results qualitatively. We can, therefore, conclude that the Stokesian dynamics simulations can capture thick chainlike clusters without introducing a specific clustering algorithm, which is indispensable for Monte Carlo simulations. The behavior of the thick chainlike clusters in a simple shear flow is summarized as follows. The thick chainlike clusters decline in the shear flow direction as time advances. Since longer clusters experience larger shear forces, it is difficult for them to survive in such a situation. The thick chainlike clusters, therefore, dissociate into some short clusters. Such clusters are relatively stable in a shear flow, so that they do not decrease significantly any more. The viscosities have a strong relationship with the internal structures of the aggregates. The instantaneous viscosities, therefore, fluctuate significantly for the case of the thick chainlike clusters. Copyright 1998 Academic Press.

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