Erratum: Lattice-gas simulations of domain growth, saturation, and self-assembly in immiscible fluids and microemulsions [Phys. Rev. E<b>55</b>, 708 (1997)]

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

doi:10.1103/physreve.56.1286

Cited by 18 publications

(19 citation statements)

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“…The slope of the linear regime corresponds to -52.8. The behaviour of L max (ρ s ) and t arrest (ρ s ) is consistent with previous lattice gas [4,60] and lattice Boltzmann studies [5], where the authors determine the dependence of the surface tension at a planar interface between two immiscible fluid species After the initial spontaneous formation of domains, domain growth can be described by a power law. With increasing ρ s domain growth slows down and eventually comes to an end at a maximum domain size Lmax(ρ s ).…”

Section: A Ternary Amphiphilic Systems Without Shearsupporting

confidence: 87%

“…If the amphiphile concentration is sufficiently high, the de-mixing process might eventually arrest completely. It has been shown by Langevin, molecular dynamics, lattice gas, and lattice Boltzmann simulations that the temporal growth law for the size of oil and water domains in a system without amphiphiles follows a power law t α [1,2] and crosses over to a logarithmic growth law (ln t) θ , where α, θ are fitting parameters and t is the time [3,4,5]. A further increase of the surfactant concentration can lead to growth which is well described by a stretched exponential form A − B exp(−Ct D ), where capital letters denote fitting parameters [4,5].…”

Section: Introductionmentioning

confidence: 99%

“…It has been shown by Langevin, molecular dynamics, lattice gas, and lattice Boltzmann simulations that the temporal growth law for the size of oil and water domains in a system without amphiphiles follows a power law t α [1,2] and crosses over to a logarithmic growth law (ln t) θ , where α, θ are fitting parameters and t is the time [3,4,5]. A further increase of the surfactant concentration can lead to growth which is well described by a stretched exponential form A − B exp(−Ct D ), where capital letters denote fitting parameters [4,5]. By adjusting temperature, fluid composition or pressure, amphiphiles can self-assemble and force the fluid mixture into a number of equilibrium structures or mesophases.…”

Section: Introductionmentioning

confidence: 99%

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Structural transitions and arrest of domain growth in sheared binary immiscible fluids and microemulsions

2007

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We investigate spinodal decomposition and structuring effects in binary immiscible and ternary amphiphilic fluid mixtures under shear by means of three-dimensional lattice Boltzmann simulations. We show that the growth of individual fluid domains can be arrested by adding surfactant to the system, thus forming a bicontinuous microemulsion. We demonstrate that the maximum domain size and the time of arrest depend linearly on the concentration of amphiphile molecules. In addition, we find that for a well-defined threshold value of amphiphile concentration, the maximum domain size and time of complete arrest do not change. For systems under constant and oscillatory shear we analyze domain growth rates in directions parallel and perpendicular to the applied shear. We find a structural transition from a sponge to a lamellar phase by applying a constant shear and the occurrence of tubular structures under oscillatory shear. The size of the resulting lamellae and tubes depends strongly on the amphiphile concentration, shear rate, and shear frequency.

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Section: A Ternary Amphiphilic Systems Without Shearsupporting

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Structural transitions and arrest of domain growth in sheared binary immiscible fluids and microemulsions

2007

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“…The amphiphilic lattice Boltzmann model has been used successfully to describe domain growth in mixtures of simple liquids and surfactants [101][102][103], the formation of mesophases such as the so-called primitive, diamond and gyroid phases [37,[104][105][106], and to investigate the behaviour of amphiphilic mixtures in complex geometries such as microchannels and porous media [107][108][109]. Furthermore, a force exerted by a surface interaction can be introduced as [96,97,110],…”

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confidence: 99%

Multiphase lattice Boltzmann simulations for porous media applications

et al. 2015

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Over the last two decades, lattice Boltzmann methods have become an increasingly popular tool to compute the flow in complex geometries such as porous media. In addition to single phase simulations allowing, for example, a precise quantification of the permeability of a porous sample, a number of extensions to the lattice Boltzmann method are available which allow to study multiphase and multicomponent flows on a pore scale level. In this article, we give an extensive overview on a number of these diffuse interface models and discuss their advantages and disadvantages. Furthermore, we shortly report on multiphase flows containing solid particles, as well as implementation details and optimization issues.

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“…The lattice-gas models studied in (Emerton et al 1997a, Emerton et al 1997b, Emerton et al 1997c, Emerton et al 1997d, Boghosian et al 2001, Love et al 2001a, Love et al 2001b) have elements of both interpretations. On the one hand lattice gas surfactant particles are regarded as being genuinely molecular in character, whereas in the collision step outgoing states are sampled over Boltzmann weights constructed from the local Hamiltonian.…”

Section: Discussionmentioning

confidence: 99%

A particulate basis for a lattice-gas model of amphiphilic fluids

Love

2002

Philosophical Transactions of the Royal Society of London. Seri

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We show that the flux-field expansion derived by for the Rothman-Keller immiscible fluid model can be derived in a simpler and more general way in terms of the completely symmetric tensor kernels introduced by those authors. Using this generalised flux-field expansion we show that the more complex amphiphilic model of Boghosian, can also be derived from an underlying model of particle interactions. The consequences of this derivation are discussed in the context of previous equilibrium Ising-like lattice models and other non-equilibrium mesoscale models.

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Erratum: Lattice-gas simulations of domain growth, saturation, and self-assembly in immiscible fluids and microemulsions [Phys. Rev. E55, 708 (1997)]

Cited by 18 publications

References 0 publications

Structural transitions and arrest of domain growth in sheared binary immiscible fluids and microemulsions

Structural transitions and arrest of domain growth in sheared binary immiscible fluids and microemulsions

Multiphase lattice Boltzmann simulations for porous media applications

A particulate basis for a lattice-gas model of amphiphilic fluids

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