Bruce M. Boghosian, Peter V. Coveney, and Andrew N. Emerton. A lattice-gas model of microemulsions. Proceedings of the Royal Society, A(452):1221--1250, 1996.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....they have been very successful to model complex situations for which traditional computing techniques are hardly applicable. Flows in porous media [22 24] immiscible flows and instabilities [25 28] spreading of a liquid droplet and wetting phenomena [14,29] granular flows[30,31] microemulsion [32] erosion and transport problems [14,33] are some examples pertaining to fluid dynamics. 4 Other physical situations, like pattern formation, reaction diffusion processes [34 36] nucleation aggregation growth phenomena, traffic process [37 39] are very well suited to the cellular automata ....

B. Boghosian, P. Coveney, and A. Emerton. A lattice-gas model of microemulsions. Proceedings of the Royal Society of London, 452:1221--1250, 1996.

....to this general rule occurs at large hydrodynamic scales and for quite complex fluids. Under these circumstances, lattice gases can outstrip molecular dynamics, and lattice gases are the best modelling tool (in this area of computational physics usually no competing high level scheme exists) [15]. These issues are explored in detail in Volume II on long range lattice gases for multiphase fluid dynamics [101] Secondly, lattice gases possess an inherent simplicity and universality. Just as simple models in statistical mechanics, such as the Ising model, shed light on equilibrium ....

Bruce M. Boghosian, Peter V. Coveney, and Andrew N. Emerton. A lattice-gas model of microemulsions. Proceedings of the Royal Society, A(452):1221--1250, 1996.

....of the 1D3Px classical lattice gas is given in Section 6.2.1. The lattice gas method has been undergoing improvement, beginning in the mid 1970 s up to the present day by many researchers, including Hardy, de Pazzis and Pomeau [50] Kadano#, McNamara, and Zanetti [51, 52, 53, 54] Boghosian et al. [55, 56, 57, 58], Boon et al. 59, 60] Ernst, Das, Brito,et al. 61, 62, 63, 64] Henon [41, 65] Doolen, S. Chen, et al. 66, 67, 68, 69, 70, 71] Frisch, Pomeau, d Humieres et al. 35, 36] Appert, Zeleski, and Rothman et al. 42, 43, 44, 45, 46] and Yepez [47, 48, 49, 72, 73] This is by no means either an ....

Bruce M. Boghosian, Peter V. Coveney, and Andrew N. Emerton. A lattice-gas model of microemulsions. Proceedings of the Royal Society, A(452):1221--1250, 1996.

....23 dynamics is the appropriate modelling tool. But at large hydrodynamic scales and for quite complex fluids, lattice gases outstrip molecular dynamics and becomes the modelling tool of choice (provided no competing high level schemes are known for complex fluids this is often the case [13]) Lattice gases possess the theoretically attractive attributes of inherent simplicity and universality. Just as simple models in statistical mechanics, such as the Ising model mentioned above, shed light on equilibrium thermodynamics and equilibrium critical phenomena, so too do lattice gas ....

Bruce M. Boghosian, Peter V. Coveney, and Andrew N. Emerton. A lattice-gas model of microemulsions. Proceedings of the Royal Society, A(452):1221--1250, 1996.

....complex physical behaviors on quantum computers. The most well understood lattice gas algorithms apply to the simulation of Navier Stokes fluids [23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41] and complex fluids (immiscible binary liquids and microemulsions) [42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55]. Lattice gas algorithms are also known for electromagnetic waves and magnetohydrodynamics. The only data operations used in quantum lattice gas algorithms are reversible permutations and superpositions [16] the latter is based on the principle of quantum mechanics known as the superposition of ....

Bruce M. Boghosian, Peter V. Coveney, and Andrew N. Emerton. A lattice-gas model of microemulsions. Proceedings of the Royal Society, A(452):1221--1250, 1996.

.... prototype desktop special purpose machine, the cellular automata machine CAM 8 [5] offers latticegas simulation speeds comparable to large parallel supercomputer speeds [6, 7, 8] It is now known lattice gases can mimick a broad and ever expanding class of complex fluids, including microemulsions [9] and certain quantum fluids [10, 11] The technique which originally found applicability in modeling flow through porous media, two fluid immiscible flow, multiphase flow, and reaction diffusion systems has more recently been applied to fine grain quantum computing [12] 3 Progress Progress ....

Bruce M. Boghosian, Peter V. Coveney, and Andrew N. Emerton. A lattice-gas model of microemulsions. Proceedings of the Royal Society, 1996. To appear, comp-gas/9507001.

....version (in which the propagation is accepted only if the energy change is zero) or a canonical version (in which it is accepted according to the Metropolis algorithm) Finally, we note that many variants of these algorithms exist and are useful for various purposes. Boghosian et al. [24] developed a variation of the Rothman Keller model that allows for the inclusion of a surfactant phase, allowing the simulation of microemulsions. To see how this works, first note that the quantity X i i n R i Gamma n B i j can be thought of as a color charge in the Rothman Keller ....

....as color dipoles, and numerous terms are added to the Hamiltonian, Eq. 9) to account for the color dipole interaction that makes the surfactant prefer to live on the interface, and the dipole dipole interaction that gives rise to the curvature energy. Details are given in the reference [24]. The D = 2 model has been studied in some detail, and preliminary D = 3 results have been obtained as of this writing. The model is able to track the formation and saturation of droplet (Fig. 5, D = 2) wormlike micelle (Fig. 6, D = 3) sponge (Fig. 7, D = 2) and lamellar (Fig. 8, D = 3) phases, ....

B.M. Boghosian, P. Coveney, and A. Emerton, "A Lattice-Gas Model of Microemulsions," Proc. Roy. Soc. A 452 (1996) 1221.

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Bruce M. Boghosian, Peter V. Coveney, and Andrew N. Emerton. A lattice-gas model of microemulsions. Proceedings of the Royal Society, A(452):1221--1250, 1996.

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Bruce M. Boghosian, Peter V. Coveney, and Andrew N. Emerton. A lattice-gas model of microemulsions. Proceedings of the Royal Society, A(452):1221--1250, 1996.

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