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  • 1
    Electronic Resource
    Electronic Resource
    The effect of rotational Brownian motion on Witten–Sander aggregates (1986)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 85 (1986), S. 2147-2153 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The effect of rotational diffusion on the growth of Witten–Sander aggregates is examined. Computer simulations of a model are analyzed where the growing aggregate rotates with a rotational diffusion constant Drot(R(parallel))∼1/[τrot(R(parallel)/a)δ], while the irreversibly aggregating particles jump with a diffusivity a2/τ0(τ0,τrot are the time constants for translational and rotational jumps and a is the lattice spacing). In the simulations 0.0002〈(τ0/τrot)〈1600 is varied over seven orders of magnitude. In general the aggregates are anisotropic (despite the inherent symmetry of the model) with longitudinal and transverse length scales R(parallel) and R⊥. On scales r(very-much-less-than)R⊥ the cluster remains fractal, but on scales R⊥(very-much-less-than)r(very-much-less-than)R(parallel) the cluster becomes linear. Estimates of the dependence of R(parallel) on N, (τ0/τrot), and δ are made and compared with the computer data. Both initial and asymptotic behavior are investigated, and several regimes of growth identified.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.451107
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  • 2
    Electronic Resource
    Electronic Resource
    Discrete voltage states in one-dimensional parallel array of Josephson junctions (1996)
    Woodbury, NY : American Institute of Physics (AIP)
    Applied Physics Letters 68 (1996), S. 3180-3182 
    Details
    ISSN: 1077-3118
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We study low-voltage dynamics in highly discrete one-dimensional arrays of Josephson junctions. In particular, we focus on the resonant solutions emerging from the locking between the time period of the oscillations of the single junction with the spatial period of the wave propagating across the array. We find that the average voltage across the array scales as V∝(κ−κc)1/2, where κc is the critical value of the coupling. The connections to high voltage solutions are discussed. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.115817
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  • 3
    Electronic Resource
    Electronic Resource
    Mean field theory of polymer crossover behavior (1986)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 85 (1986), S. 527-531 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: An argument is presented that the exponent previously employed to describe crossover behavior of either a linear or randomly branched polymer from the theta region to the swollen or collapsed state is inconsistent with the mean field description of the polymer free energy. In place of the conventional exponent φ(d)=[2−dνθ(d)], it is suggested that mean field theory compels use of the exponent ψ(d)=[νθ(d)d−1], where νθ(d) is the index which describes the dependence of polymer length on molecular weight in the theta region. The consequences of this different choice of crossover index are discussed for crossover behavior of the polymer length and for phase separation behavior. Comparison of the results of the different predictions with both Flory–Huggins theory and ε-expansion calculations is included. For linear chains in two dimensions striking differences are found for the predicted behavior of the phase separation curve at high monomer concentrations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.451631
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