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  • 1
    Electronic Resource
    Electronic Resource
    Immiscible cellular-automaton fluids (1988)
    Springer
    Journal of statistical physics 52 (1988), S. 1119-1127 
    Details
    ISSN: 1572-9613
    Keywords: Cellular automata ; lattice gases ; surface tension ; phase separation ; two-phase flow
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We introduce a new deterministic collision rule for lattice-gas (cellular-automaton) hydrodynamics that yields immiscible two-phase flow. The rule is based on a minimization principle and the conservation of mass, momentum, and particle type. A numerical example demonstrates the spontaneous separation of two phases in two dimensions. Numerical studies show that the surface tension coefficient obeys Laplace's formula.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01019743
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Phase separation in a three-dimensional, two-phase, hydrodynamic lattice gas (1995)
    Springer
    Journal of statistical physics 81 (1995), S. 181-197 
    Details
    ISSN: 1572-9613
    Keywords: Lattice-gas automata ; immiscible fluids ; phase separation ; spinodal decomposition ; growth dynamics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The dynamics of phase separation is explored using an immiscible 3D lattice-gas model. Scaling laws for the growth rate and power spectraS(k) of the growth patterns are computed. For small wavenumbersS(k) shows a crossover fromk 2 tok 4 behavior. The theoretical prediction for the asymptotic domain growthR≅t 2/3 is supported by our results. We discuss the possibility to observe an intermediatet scaling. We show the influence of hydrodynamic forces in symmetric and asymmetric mixtures by comparing simulations with and without momentum conservation. The structure functionS(k) is not significantly modified by hydrodynamics, but the growth rate changes clearly. As a general result, it is shown that, in spite of the unusual thermodynamics of this model, many characteristics of the growth dynamics are surprisingly in agreement with the classical theoretical and experimental results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02179975
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    From ordered bubbles to random stripes: Pattern formation in a hydrodynamic lattice gas (1993)
    Springer
    Journal of statistical physics 71 (1993), S. 641-652 
    Details
    ISSN: 1572-9613
    Keywords: Stripes ; phase separation ; lattice-gas automata ; pattern formation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A two-component momentum-conserving lattice gas with competing interactions is introduced in two dimensions. One interaction acts at short range and produces interfaces with surface tension. The second interaction, the negative of the first, acts at rangea and produces modulated structures with approximate wavelength 2a. Depending on particle density, species concentration, and relative interaction strength, the equilibrium patterns formed by the model range from isotropic mixed and unmixed phases to hexagonally-ordered bubbles to randomly-oriented stripes. A Ginzburg-Landau equation is proposed that qualitatively captures the basic features of these phase transitions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01058440
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    Paper (German National Licenses)
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