Applications of a lattice-gas automaton model for amphiphilic systems

Emerton, Andrew N.; Coveney, Peter V.; Boghosian, Bruce M.

doi:10.1016/s0378-4371(97)00493-7

Cited by 7 publications

(5 citation statements)

References 14 publications

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“…The term parameterised by α models the interaction of colour charges with surrounding colour charges as in the original Rothman-Keller model [4]; that parameterised by µ describes the interaction of colour charges with surrounding colour dipoles; that parameterised by ǫ accounts for the interaction of colour dipoles with surrounding colour charges (alignment of surfactant molecules across oil-water interfaces); and finally that parameterised by ζ describes the interaction of colour dipoles with surrounding colour dipoles (corresponding to interfacial bending energy or "stiffness"). This model has been extensively studied in two dimensions [31,[34][35][36][37],…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional hydrodynamic lattice-gas simulations of domain growth and self-assembly in binary immiscible and ternary amphiphilic fluids

2001

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We simulate the dynamics of phase assembly in binary immiscible fluids and ternary microemulsions using a three-dimensional hydrodynamic lattice-gas approach. For critical spinodal decomposition we perform the scaling analysis in reduced variables introduced by Jury et al. [Phys. Rev. E 59, R2535 (1999)] and by Bladon et al. [Phys. Rev. Lett. 83, 579 (1999)]. We find a late-stage scaling exponent consistent with the R approximately t(2/3) inertial regime. However, as observed with the previous lattice-gas model of Appert et al. [J. Stat. Phys. 81, 181 (1995)] our data do not fall in the same range of reduced length and time as those of Jury et al. and Bladon et al. For off-critical binary spinodal decomposition we observe a reduction of the effective exponent with decreasing volume fraction of the minority phase. However, the n=1 / 3 Lifshitz-Slyzov-Wagner droplet coalescence exponent is not observed. Adding a sufficient number of surfactant particles to a critical quench of binary immiscible fluids produces a ternary bicontinuous microemulsion. We observe a change in scaling behavior from algebraic to logarithmic growth for amphiphilic fluids in which the domain growth is not arrested. For formation of a microemulsion where the domain growth is halted we find that a stretched exponential growth law provides the best fit to the data.

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Section: Introductionmentioning

confidence: 99%

Three-dimensional hydrodynamic lattice-gas simulations of domain growth and self-assembly in binary immiscible and ternary amphiphilic fluids

2001

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“…The term parameterised by α models the interaction of colour charges with surrounding colour charges as in the original Rothman-Keller model [27]; that parameterised by µ describes the interaction of colour charges with surrounding colour dipoles; that parameterised by ǫ accounts for the interaction of colour dipoles with surrounding colour charges (alignment of surfactant molecules across oil-water interfaces); and finally that parameterised by ζ describes the interaction of colour dipoles with surrounding colour dipoles (corresponding to interfacial bending energy or "stiffness"). This model has been extensively studied in two dimensions [24,[28][29][30][31],…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional hydrodynamic lattice-gas simulations of binary immiscible and ternary amphiphilic flow through porous media

2001

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We report the results of a study of multiphase flow in porous media. A Darcy's law for steady multiphase flow was investigated for both binary and ternary amphiphilic flow. Linear flux-forcing relationships satisfying Onsager reciprocity were shown to be a good approximation of the simulation data. The dependence of the relative permeability coefficients on water saturation was investigated and showed good qualitative agreement with experimental data. Nonsteady-state invasion flows were investigated, with particular interest in the asymptotic residual oil saturation. The addition of surfactant to the invasive fluid was shown to significantly reduce the residual oil saturation.

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“…In the present paper we report on the formulation and implementation of a three-dimensional hydrody-namic lattice gas model, which has been extensively studied in two dimensions [2,[9][10][11][12]. Compared with molecular dynamics the computational simplicity of lattice gases makes them an ideal method for modelling complex fluid behaviour from the mesoscale upwards.…”

Section: Introductionmentioning

confidence: 99%

A three–dimensional lattice–gas model for amphiphilic fluid dynamics

Boghosian

Coveney

Love

2000

Proc. R. Soc. Lond. A

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We describe a three-dimensional hydrodynamic lattice-gas model of amphiphilic fluids. This model of the non-equilibrium properties of oil-water-surfactant systems, which is a non-trivial extension of an earlier two-dimensional realisation due to Boghosian, Coveney and Emerton [2], can be studied effectively only when it is implemented using high-performance computing and visualisation techniques. We describe essential aspects of the model's theoretical basis and computer implementation, and report on the phenomenological properties of the model which confirm that it correctly captures binary oil-water and surfactant-water behaviour, as well as the complex phase behaviour of ternary amphiphilic fluids.

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Applications of a lattice-gas automaton model for amphiphilic systems

Cited by 7 publications

References 14 publications

Three-dimensional hydrodynamic lattice-gas simulations of domain growth and self-assembly in binary immiscible and ternary amphiphilic fluids

Three-dimensional hydrodynamic lattice-gas simulations of domain growth and self-assembly in binary immiscible and ternary amphiphilic fluids

Three-dimensional hydrodynamic lattice-gas simulations of binary immiscible and ternary amphiphilic flow through porous media

A three–dimensional lattice–gas model for amphiphilic fluid dynamics

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