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  • 1
    Electronic Resource
    Electronic Resource
    Gaussian curvature in an Ising model of microemulsions (1987)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 86 (1987), S. 3565-3570 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We extend Widom's Ising-like model of microemulsions on a simple cubic lattice by a new term which accounts for the Gaussian curvature energy of the oil–water interfaces. The new term distinguishes between different topologies of the interfaces and plays an important role in determining the microstructure of microemulsions on a scale larger or comparable to the persistence length provided that the microemulsion is dominated at all by curvature energies. We also speculate on its possible role for the breakdown of curvature energies in microemulsions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.451960
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  • 2
    Electronic Resource
    Electronic Resource
    A generalization of Widom's model of microemulsions (1988)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 88 (1988), S. 1156-1162 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We construct a generalization of Widom's model of microemulsions which permits the contact of polar and apolar material. This is necessary to explain the behavior of certain short chain amphiphilic systems. The same interactions have previously been proposed by Robledo, but the partition function which he derived from these interactions and discussed in detail in his paper (a partition function of a spin 1 Ising system) does not quite represent these interactions. We arrive at a spin 3/2 Ising model with nearest neighbor interactions. Robledo's spin 1 form is recovered as an approximation whose range of validity is discussed. We particularly investigate the limit towards Widom's model, the progression of Winsor microemulsion, and the question of retrograde solubility in the binary water–amphiphile subsystem, which has been advocated by Robledo.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.454234
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  • 3
    Electronic Resource
    Electronic Resource
    Summing the spectral representations of Pöschl–Teller and Rosen–Morse fixed-energy amplitudes (1992)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 643-662 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The spectral representations of the fixed-energy amplitude of the symmetric and the general Pöschl–Teller potentials are summed via a Sommerfeld–Watson transformation which leads to a simple closed-form expression. The result is used to write down a similar expression for the symmetric and general Rosen–Morse potentials, exploiting the close correspondence that exists between the two systems within the Schrödinger theory and the path integral formalism via a Duru–Kleinert transformation. From the singularities of the latter amplitude the bound and continuum states of the general Rosen–Morse potential are extracted.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529800
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  • 4
    Electronic Resource
    Electronic Resource
    The neighborhood of the three-phase regime in microemulsions (1986)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 85 (1986), S. 4148-4152 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We extend a previous calculation and comparison with experiment of the shape of the three-phase regime, of a ternary mixture of water, oil, and tenside, in the space of concentrations and temperature x, y, τ into the neighborhood of the three-phase regime. Apart from the two- and one-phase boundaries, we determine the behavior of the intensity of scattered light and the interfacial energies. The agreement with experimental data is reasonable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.450887
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  • 5
    Electronic Resource
    Electronic Resource
    Path integral for second-derivative Lagrangian L=(κ/2)x¨2+(m/2)x(overdot)2+(k/2)x2−j(τ)x(τ) (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 3003-3013 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: For the above second-derivative Euclidean Lagrangian, the quantum statistical probability distribution (xbvbτb|| xavaτa) that an orbit x(τ) with initial position xa and velocity x(overdot)a=va arrives at a final point xb and velocity x(overdot)b=vb is calculated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527228
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  • 6
    Electronic Resource
    Electronic Resource
    Functional determinants from Wronski Green functions (1999)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 40 (1999), S. 6044-6051 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A general technique is developed for calculating functional determinants of second-order differential operators with Dirichlet, periodic, and antiperiodic boundary conditions, without the knowledge of spectral properties. As an example, we give explicit formulas for a harmonic oscillator with an arbitrary time-dependent frequency, where our result is a generalization of the Gel'fand–Yaglom famous formula for Dirichlet boundary conditions. Our technique is based on the Wronski's construction of Green functions, which does not require spectral knowledge. Our final formula expresses the ratios of functional determinants in terms of an ordinary 2×2 determinant of a constant matrix constructed from two linearly independent solutions of the homogeneous differential equations associated with second-order differential operators. For ratios of determinants encountered in semiclassical fluctuations around a classical solution, the result can further be expressed in terms of the classical solution. Special properties of operators with a zero mode are exhibited. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.533069
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  • 7
    Electronic Resource
    Electronic Resource
    Solution of Dyson equation for elastic membranes (1989)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 30 (1989), S. 2991-2993 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The Dyson equation for the renormalization of the curvature stiffness by elastic fluctuations into a simple differential equation is transformed and solved iteratively as well as numerically. If the tension parameter falls below some critical value, the inverse two-point function develops discontinuously a minimum at a nonzero momentum p0. This should be relevant for understanding a transition in elastic membranes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528488
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  • 8
    Electronic Resource
    Electronic Resource
    Microemulsions in the three-phase regime (1986)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 84 (1986), S. 964-967 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Using a simple Landau free energy we determine the shape of the three-phase regime of a ternary mixture of water, oil, and tenside (microemulsion) in the space of concentrations and temperature x, y, τ. The boundaries at x=0 (equal water and oil) and y=1 (fixed tenside) are in excellent agreement with recent data of Kahlweit et al. and Shinoda et al. We also find satisfactory agreement for the temperature behavior of fluctuation phenomena such as the intensity of scattered light and the interfacial tensions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.450543
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