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  • 1
    Electronic Resource
    Electronic Resource
    Comment on: A kinematic model of homogeneous phase-transition kinetics involving the simultaneous growth of multiple phases (1992)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 97 (1992), S. 8817-8817 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.463356
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  • 2
    Electronic Resource
    Electronic Resource
    Kinetics of multilayer deposition: Models without screening (1992)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 97 (1992), S. 2134-2138 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The kinetics of irreversible multilayer deposition on one- and two-dimensional uniform substrates was studied. It was assumed that the distribution of sizes of parking objects, intervals in 1D and disks in 2D, have a small-size and a large-size cutoff, l and L, respectively. The general case when the parking distribution function varies as (x−l)α near the small-size cutoff was studied. It was found that the coverage in each layer approaches to the jamming limit according to a power law as t−ν, with the exponent ν=(α+1+D)−1. The jamming coverages approach the infinite-layer limiting value exponentially as exp(−k/s), with the correlation length s=ln[(α+3)/(α+1)].
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.463100
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  • 3
    Electronic Resource
    Electronic Resource
    Collective properties of adsorption–desorption processes (1994)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 100 (1994), S. 6778-6782 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A reversible adsorption–desorption parking process in one dimension is studied. An exact solution for the equilibrium properties is obtained. The coverage near saturation depends logarithmically on the ratio between the adsorption rate, k+, and the desorption rate, k−, ρeq(approximately-equal-to)1−1/log(k+/k−), when k+/k−(very-much-greater-than)1. A time dependent version of the reversible problem with immediate adsorption (k+=∞) is also considered. Both heuristic arguments and numerical simulations reveal a logarithmically slow approach to the completely covered state, 1−ρ(t)∼1/log(t).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.467037
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  • 4
    Electronic Resource
    Electronic Resource
    Stokes laws for ions in solutions with ion-induced inhomogeneity (1991)
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 95 (1991), S. 6055-6057 
    Details
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1021/j100169a001
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  • 5
    Electronic Resource
    Electronic Resource
    Unidirectional flows of viscoelastic fluids and their gasdynamic counterparts (1992)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 43 (1992), S. 715-725 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We have shown that unidirectional flows of viscoelastic fluids are mathematically equivalent to plane potential flows of a fictitious gas. The classification of type and some exact solutions of the equations describing fictitious gas flows are presented. The Prandtl-Mayer flow and its viscoelastic counterpart is discussed in more details in connection with the Sternberg-Koiter paradox.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00946259
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  • 6
    Electronic Resource
    Electronic Resource
    Diffusive escape in a nonlinear shear flow: Life and death at the edge of a windy cliff (1996)
    Springer
    Journal of statistical physics 82 (1996), S. 999-1014 
    Details
    ISSN: 1572-9613
    Keywords: Survival probability ; wind shear ; Taylor diffusion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The survival probability of a particle diffusing in the two-dimensional domainx〉0 near a “windy cliff” atx=0 is investigated. The particle dies upon reaching the edge of the cliff. In addition to diffusion, the particle is influenced by a steady “wind shear” with velocityv(x, y)=v sign(y)x, i.e., no average bias either toward or away from the cliff. For this semi-infinite system, the particle survival probability decays with time ast −1/4, compared tot −1/2 in the absence of wind. Scaling descriptions are developed to elucidate this behavior, as well as the survival probability within a semi-infinite strip of finite width |y|〈w with particle absorption atx=0. The behavior in the strip geometry can be described in terms of Taylor diffusion, an approach which accounts for the crossover to the t−1/4 decay when the width of the strip diverges. Supporting numerical simulations of our analytical results are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02179799
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  • 7
    Electronic Resource
    Electronic Resource
    Kinetic models of a binary alloy at zero temperature (1994)
    Springer
    Journal of statistical physics 74 (1994), S. 1211-1225 
    Details
    ISSN: 1572-9613
    Keywords: Phase separation ; crystallization ; binary alloy ; nonergodic processes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study theoretically two types of kinetic models of a binary alloy at zero temperature. In the phase separation model, a nearest-neighbor interchange can occur if the fraction of AB bonds (where A and B denote distinct species of atoms in a binary alloy) is thereby decreased. The crystallization model is defined by the opposite evolution rule. We examine these models in one dimension and obtain exact analytical results for the densities of domain walls, defects, and for a number of other correlators. Nonergodic zero-temperature dynamics leads to final states strongly dependent on initial conditions. For generalized models, in which nearest-neighbor interchange is also performed if the portion of AB bonds is not changed, a very rich kinetic behavior is observed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02188224
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  • 8
    Electronic Resource
    Electronic Resource
    Domain Number Distribution in the Nonequilibrium Ising Model (1998)
    Springer
    Journal of statistical physics 93 (1998), S. 583-601 
    Details
    ISSN: 1572-9613
    Keywords: Coarsening ; kinetic Ising model ; Potts model ; scaling ; persistence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study domain distributions in the one-dimensional Ising model subject to zero-temperature Glauber and Kawasaki dynamics. The survival probability of a domain, S(t)∼t −ψ, and an unreacted domain, Q 1(t)∼t −δ, are characterized by two independent nontrivial exponents. We develop an independent interval approximation that provides close estimates for many characteristics of the domain length and number distributions including the scaling exponents.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/B:JOSS.0000033243.27556.99
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  • 9
    Electronic Resource
    Electronic Resource
    Kinetics of random sequential parking on a line (1992)
    Springer
    Journal of statistical physics 69 (1992), S. 135-150 
    Details
    ISSN: 1572-9613
    Keywords: Random sequential parking ; hole-size distribution ; scaling behavior
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study the kinetics of irreversible random sequential parking of intervals of different sizes on an infinite line. For the simplest fixed-length parking distribution the model reduces to the known car-parking problem and we present an alternate solution to this problem. We also consider the general homogeneous case when the parking distribution varies asx α−1 atx 1 with the lengthx of the filling interval. We develop a scaling theory describing such mixture-deposition processes and show that the scaled hole-size distributionΦ(ξ), with ξ=xt z a scaling variable, decays with the scaled mass ξ as ξ−θexp(—const·ξ1+α) as ξ→∞. We determine scaling exponentsz andθ, and find that at large times the coverageθ(t) has a power-law form 1 − θ(t)≃t −v with nonuniversal exponent ν=(2−θ)/(1+α) depending on the homogeneity index α.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01053786
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  • 10
    Electronic Resource
    Electronic Resource
    Pattern formation by growing droplets: The touch-and-stop model of growth (1994)
    Springer
    Journal of statistical physics 75 (1994), S. 507-523 
    Details
    ISSN: 1572-9613
    Keywords: Pattern formation ; nucleation and growth ; fractals
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We investigate a novel model of pattern formation phenomena. In this model spherical droplets are nucleated on a substrate and grow at constant velocity; when two droplets touch each other they stop their growth. We examine the heterogeneous process in which the droplet formation is initiated on randomly distributed centers of nucleation and the homogeneous process in which droplets are nucleated spontaneously at constant rate. For the former process, we find that in arbitrary dimensiond the system reaches a jamming state where further growth becomes impossible. For the latter process, we observe the appearance of fractal structures. We develop mean-field theories that predict that the fraction of uncovered material Φ(t) approaches to the jamming limit as Φ(t)−Φ(∞)∼exp(Ct d ) for the heterogeneous process and as a power law for the homogeneous process. Exact solutions in one dimension are obtained and numerical simulations ford=1–3 are performed and compared with mean-field predictions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02186870
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