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  • Articles  (16)
  • diffusion  (9)
  • master equation  (8)
  • Springer  (16)
  • American Chemical Society (ACS)
  • American Geophysical Union
  • National Academy of Sciences
  • 2015-2019
  • 2005-2009
  • 1990-1994
  • 1980-1984  (16)
  • 2017
  • 1983  (16)
  • Physics  (16)
Collection
  • Articles  (16)
Source
Keywords
Publisher
  • Springer  (16)
  • American Chemical Society (ACS)
  • American Geophysical Union
  • National Academy of Sciences
Years
  • 2015-2019
  • 2005-2009
  • 1990-1994
  • 1980-1984  (16)
Year
Topic
  • 1
    Electronic Resource
    Electronic Resource
    Random walk properties of lattices and correlation factors for diffusion via the vacancy mechanism in crystals (1983)
    Springer
    Journal of statistical physics 30 (1983), S. 477-485 
    Details
    ISSN: 1572-9613
    Keywords: Random walks ; diffusion ; vacancy mechanism ; correlation factor
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Random walk properties and correlation factors for diffusion via the vacancy mechanism are calculated and compared for various three-dimensional lattices. By applying the theory of random walks on an imperfect lattice, the correlation factor for impurity diffusion is calculated rigorously for the “five jump frequency model” in the fee lattice.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01012321
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  • 2
    Electronic Resource
    Electronic Resource
    Random walk to and interaction with an impurity (1983)
    Springer
    Journal of statistical physics 30 (1983), S. 497-507 
    Details
    ISSN: 1572-9613
    Keywords: Nuclear magnetic resonance ; paramagnetic impurities ; diffusion ; low dimensionality
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A random walker tagged with a spin may conveniently be studied by small amounts of paramagnetic impurities which significantly affect the spin relaxation at concentrations as low as a few parts per million. Examples are found in nuclear magnetic resonance (NMR) and muon spin rotation (μSR). At low temperature relaxation is determined by the time for the walker to reach an impurity, and thus the impurity acts like a simple trap. Details of the interaction with the impurity are important at higher temperatures, and the relaxation rate is shown to go through a maximum because of this. Special features associated with many returns to the origin, particularly important in one-dimensional walks, and the difference between incoherent (rapidly fluctuating paramagnetic spin) and coherent (stationary paramagnetic spin) returns are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01012323
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  • 3
    Electronic Resource
    Electronic Resource
    Localized excitation transport on substitutionally disordered lattices (1983)
    Springer
    Journal of statistical physics 31 (1983), S. 451-465 
    Details
    ISSN: 1572-9613
    Keywords: Disordered lattice ; coherent medium ; master equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Average-T-matrix and coherent medium theories are used to study the motion of localized excitations on Substitutionally disordered lattices. We derive equations which relate coherent medium results for bond and site averaging and show how these reduce to the two-body solution results of Gochanour, Andersen, and Fayer. Numerical results forP 0(t), the probability of remaining at the origin for two-dimensional nearest-neighbor lattices are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01019493
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  • 4
    Electronic Resource
    Electronic Resource
    On the dynamics of excitations in disordered systems (1983)
    Springer
    Journal of statistical physics 30 (1983), S. 179-184 
    Details
    ISSN: 1572-9613
    Keywords: Disordered system ; diffusion ; master equations ; non-Markovian dynamics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A new, time-local (TL) reduced equation of motion for the probability distribution of excitations in a disordered system is developed. ToO(k2) the TL equation results in a Gaussian spatial probability distribution, i.e, 〈P(r, t)〉 = [(2πξ)1/2]−dexp(-r2/2ξ2), where ξ = ξ(t) is a correlation length, andr = ¦r¦. The corresponding distribution derived from the Hahn-Zwanzig (HZ) equation is more complicated and assumes the asymptotic (r→ ∞) form: 〈P(r, s)〉(sξ d )−1exp(−r/ξ) · (r/ξ)(1-d)/2 where ξ = ξ(s),d is the space dimensionality, ands is the Laplace transform variable conjugate tot. The HZ distribution generalizes the scaling form suggested by Alexanderet al. ford= 1. In the Markov limit ξ(t)√t, ξ(s)1/√s, and the two distributions are identical (ordinary diffusion).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01010873
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  • 5
    Electronic Resource
    Electronic Resource
    Induction of ion transport in rat heart mitochondria by fluorescamine (1983)
    Springer
    Journal of bioenergetics and biomembranes 15 (1983), S. 207-215 
    Details
    ISSN: 1573-6881
    Keywords: Heart ; biomembranes ; mitochondria ; ions ; transport ; diffusion ; channels ; swelling ; fluorescamine ; fluorescence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Physics
    Notes: Abstract This report describes experimental results which show that the fluorescent reagent fluorescamine induces mitochondrial energy-independent swelling when the incubation media contain the chloride salts of the cations Li+, Na+, K+, Rb+, and Cs+. The reaction depends on the concentration of the dye and is inhibited by Mg2+, and its extension is closely related to the amount of the primary amino groups titrated by fluorescamine. Analysis of the labeled inner membrane in polyacrylamide gel shows that the amount of aminofluorescamine complex is lower when mitochondria are in the presence of Mg2+.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00743941
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  • 6
    Electronic Resource
    Electronic Resource
    Phenomenological theory for polymer diffusion in non-homogeneous velocity-gradient flows (1983)
    Springer
    Rheologica acta 22 (1983), S. 336-347 
    Details
    ISSN: 1435-1528
    Keywords: Polymer migration ; diffusion ; thermodynamics ; velocity-gradient flow ; generalized hydrodynamics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract The present study concerns the phenomenon of flow-induced polymer migration. It is shown that Tirrell's diffusion flux can be deduced from a macroscopic modelling which involves second-order gradients and a vectorial internal variable related to the microstructure. In contrast to Tirrell's model, however, a migration may also occur across straight streamlines. The flow down an inclined plane is examined by way of example. The roles played by the microstructure and the second gradients, respectively, are thus exhibited.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01333763
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  • 7
    Electronic Resource
    Electronic Resource
    Nonexponential decay in relaxation phenomena (1983)
    Springer
    Journal of statistical physics 30 (1983), S. 285-292 
    Details
    ISSN: 1572-9613
    Keywords: Relaxation phenomena ; condensed matter ; transition rates ; random walk ; master equation ; non-Markovian process ; Brownian motion ; stable distribution
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A variety of considerations from different points of view including non-Markovian stochastic processes, basic quantum mechanics, and a mechanism based on condensed matter physics, all lead to the fractional exponential decay at long times in relaxation processes. Implications of this decay law and its verifiable predictions in a broad range of phenomena in condensed matter physics are pointed out.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01012303
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  • 8
    Electronic Resource
    Electronic Resource
    Single and multiple random walks on random lattices: Excitation trapping and annihilation simulations (1983)
    Springer
    Journal of statistical physics 30 (1983), S. 335-343 
    Details
    ISSN: 1572-9613
    Keywords: Exciton ; annihilation ; fusion ; trapping ; diffusion ; random walk ; energy transfer ; master equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Random walk simulations of exciton trapping and annihilation on binary and ternary lattices are presented. Single walker visitation efficiencies for ordered and random binary lattices are compared. Interacting multiple random walkers on binary and ternary random lattices are presented in terms of trapping and annihilation efficiencies that are related to experimental observables. A master equation approach, based on Monte Carlo cluster distributions, results in a nonclassical power relationship between the exciton annihilation rate and the exciton density.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01012307
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  • 9
    Electronic Resource
    Electronic Resource
    Diffusion in random one-dimensional systems (1983)
    Springer
    Journal of statistical physics 30 (1983), S. 355-362 
    Details
    ISSN: 1572-9613
    Keywords: Diffusion ; one-dimensional ; lattice ; master equation ; nearest neighbor ; transfer rates ; random variables
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Diffusion on the one-dimensional lattice ℤ is described by a master equation with nearest-neighbor transfer rates (symmetric or asymmetric). The transfer rates associated with bonds are assumed to be independent, equally distributed random variables. Under various conditions on their common distribution the large time behavior of averaged site probabilities and/or related quantities is exhibited.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01012309
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  • 10
    Electronic Resource
    Electronic Resource
    Stochastic theory of adiabatic explosion (1983)
    Springer
    Journal of statistical physics 32 (1983), S. 1-23 
    Details
    ISSN: 1572-9613
    Keywords: Fluctuations ; master equation ; combustion ; ignition
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A stochastic description of an exothermic reaction leading to adiabatic explosion is set up. The numerical solution of the master equation reveals the appearance of a long tail and of multiple humps of the probability distribution, which subsist for a certain period of time. During this interval the system displays a markedly chaotic behavior, reflecting the random character of the ignition process. An analytical description of this transient evolution is developed, using a piecewise linear approximation of the transition rates. A comparison with other transient phenomena observed in stochastic theory is carried out.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01009416
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