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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 95 (1991), S. 7664-7677 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We investigate the equilibrium structure as well as a specific dynamical aspect of thin films of complex fluids containing amphiphilic membranes. We explore the structures of ternary microemulsions, confined in a pore, resulting from various different types of interactions of the confining wall with the molecules. We compute the concentration profiles of the three components, namely, oil, water and amphiphiles, by carrying out extensive Monte Carlo simulations of the Widom model and its recently proposed generalizations on a simple-cubic lattice of size Lx×Ly×Lz under appropriate boundary conditions. We investigate both the wide-gap geometry (Lx=Ly(approximately-equal-to)Lz(very-much-greater-than)1) and narrow-gap geometry (Lx=Ly(very-much-greater-than)Lz). We observe novel concentration profiles in the narrow-gap geometry when Lz is of the order of a few molecular layers (i.e., in micropores). We also compute the lifetime of thermodynamically unstable bilayers of a specific initial conformation in the Widom model of microemulsions. For identical initial conformations of these model bilayers, we study the dependence of the lifetime on (a) the initial concentration of the amphiphilic molecules, (b) the temperature, (c) the curvature elasticity of the amphiphilic membrane, and (d) the thickness of water layers inside the two constituent monolayers. We also compare the models and results in our computer experiment with those in the laboratory experiment on the rupture of the Newton black films and common black films.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 94 (1991), S. 1385-1387 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Widom suggested a spin-1/2 Ising model for microemulsions. As a simple model of microemulsions in a porous medium such as sandstone, we simulate it on a randomly dilute simple-cubic lattice with sizes up to 252.3 Our results for the critical demixing temperature are somewhat similar to those of Velgakis in the square lattice.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 100 (1994), S. 6934-6943 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Our Larson-type microemulsion model for surfactant chains in oil–water solvents leads to long relaxation times as well as, for essential modifications, to a stable peak in the chain-cluster size distribution. Transfer energies for surfactant chains moving to the oil–water interface, and characteristic micelle concentrations (CMC) as a function of chain length are compared with experiment.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 74 (1994), S. 1293-1299 
    ISSN: 1572-9613
    Keywords: Cellular automata ; critical phenomena ; optimization ; spin glass
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In Kauffman's Boolean automata model on the square lattice, the Darwinian fitness of survival can be defined as the fraction of elements which do not change from one iteration to the next. Biological mutations are simulated by filpping one bit in the rule of one site. Selection of the fitter mutant then optimizes the whole lattice completely. This optimization is particularly effective near the critical point of the transition to chaos, but is in itself not a critical phenomenon. Also a two-dimensional spin glass can be optimized in this way.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 91 (1998), S. 807-814 
    ISSN: 1572-9613
    Keywords: Damage spreading ; cluster algorithms
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Damage spreading for Ising cluster dynamics is investigated numerically by using random numbers in a way that conforms with the notion of submitting the two evolving replicas to the same thermal noise. Two damage spreading transitions are found; damage does not spread either at low or high temperatures. We determine some critical exponents at the high-temperature transition point, which seem consistent with directed percolation.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 59 (1990), S. 1019-1042 
    ISSN: 1572-9613
    Keywords: Immune response ; cells ; networks ; automata ; attractor ; fixed point ; limit cycle
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A dynamical model of normal immune response has been formulated in terms of cellular automata by Kaufmanet al. We generalize this model incorporating the antigens as a dynamical variable. This generalized model not only describes the kinetics of primary and secondary responses of humoral immunity, together with the appropriate memory cells, but also describes the vaccinated state as well as the states of low-dose and high-dose paralysis. Recently models of autoimmune response have also been developed in terms of discrete automata. But the models are underdetermined by the experimental facts, i.e., several models can account for the same set of observed biological facts. With an aim to find out how large this underdeterminacy is and how it can be reduced systematically, we have carried out an exhaustive computer-aided search of all those discrete three-cell and five-cell models of autoimmune response which at present cannot be ruled out by the existing biological informations. Out of the 325 possible five-cell models, only one fulfilled our criteria. We also carried out simulations of the dynamics of some of these models on a discrete lattice. We discuss the relevance of random interactions in the context of autoimmune disease.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 92 (1998), S. 325-330 
    ISSN: 1572-9613
    Keywords: Percolation ; ranking ; size distribution ; infinite clusters
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An infinite number of effectively infinite clusters are predicted at the percolation threshold, if “effectively infinite” means that a cluster's mass increases with a positive power of the lattice size L. All these cluster masses increase as L D with the fractal dimension D = d − β/v, while the mass of the rth largest cluster for fixed L decreases as 1/r λ, with λ = D/d in d dimensions. These predictions are confirmed by computer simulations for the square lattice, where D = 91/48 and λ = 91/96.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 95 (1999), S. 503-506 
    ISSN: 1572-9613
    Keywords: Glauber kinetics ; percolation ; fragmentation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The scaling laws of Edwards et al. for cluster fragmentation at the two-dimensional percolation threshold, recently confirmed also in high dimensions, explain the Alexandrowicz observation that the Becker–Döring equation of classical nucleation theory and its generalization by Katz, Saltsburg, and Reiss fail right at the critical point.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Transport in porous media 11 (1993), S. 45-52 
    ISSN: 1573-1634
    Keywords: Percolation ; conductivity ; layered materials ; transfer matrix ; effective medium approach ; simulation methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract Long square-lattice and cubic-lattice samples consisting of many layers are simulated. Within each layer, the concentration of permeable bonds is constant whereas each layer has a different concentration chosen randomly from the interval between the percolation threshold and unit concentration. The conductivity of the random resistor network corresponding to this percolation model is calculated, both parallel and perpendicular to the layers, in both two and three dimensions. For the conductivity parallel to the layers, an effective medium calculation comes within 10% of the true conductivity. For the conductivity perpendicular to the layers, percolation theory is necessary.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 78 (1990), S. 145-146 
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract At the critical point of the simple cubic Ising model, the radius of Coniglio-Klein clusters containings sites each is found by Monte Carlo simulation to be roughly 0.54s 0.4, consistent with the theoretically expected fractal dimension 2.5.
    Type of Medium: Electronic Resource
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