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  • Artikel  (8)
  • master equation  (8)
  • Springer  (8)
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  • American Geophysical Union
  • National Academy of Sciences
  • 2015-2019
  • 2005-2009
  • 1990-1994
  • 1980-1984  (8)
  • 2017
  • 1983  (8)
  • Physik  (8)
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  • Artikel  (8)
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  • Springer  (8)
  • American Chemical Society (ACS)
  • American Geophysical Union
  • National Academy of Sciences
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  • 2015-2019
  • 2005-2009
  • 1990-1994
  • 1980-1984  (8)
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  • Physik  (8)
  • 1
    Digitale Medien
    Digitale Medien
    Springer
    Journal of statistical physics 31 (1983), S. 451-465 
    ISSN: 1572-9613
    Schlagwort(e): Disordered lattice ; coherent medium ; master equation
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: 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.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    Springer
    Journal of statistical physics 30 (1983), S. 285-292 
    ISSN: 1572-9613
    Schlagwort(e): Relaxation phenomena ; condensed matter ; transition rates ; random walk ; master equation ; non-Markovian process ; Brownian motion ; stable distribution
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: 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.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
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  • 3
    Digitale Medien
    Digitale Medien
    Springer
    Journal of statistical physics 30 (1983), S. 335-343 
    ISSN: 1572-9613
    Schlagwort(e): Exciton ; annihilation ; fusion ; trapping ; diffusion ; random walk ; energy transfer ; master equation
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: 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.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
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  • 4
    Digitale Medien
    Digitale Medien
    Springer
    Journal of statistical physics 30 (1983), S. 355-362 
    ISSN: 1572-9613
    Schlagwort(e): Diffusion ; one-dimensional ; lattice ; master equation ; nearest neighbor ; transfer rates ; random variables
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: 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.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
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  • 5
    Digitale Medien
    Digitale Medien
    Springer
    Journal of statistical physics 32 (1983), S. 1-23 
    ISSN: 1572-9613
    Schlagwort(e): Fluctuations ; master equation ; combustion ; ignition
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: 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.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
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  • 6
    Digitale Medien
    Digitale Medien
    Springer
    Journal of statistical physics 30 (1983), S. 315-334 
    ISSN: 1572-9613
    Schlagwort(e): Hopping transport ; trapping ; master equation ; hopping Hall effect ; dispersive transport
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract We present a general theory to describe equilibrium as well as nonequilibrium transport properties of systems in which the carriers perform an incoherent motion that can be described by means of a set of master equations. This includes hopping as well as trapping in the localized energy region of amorphous or perturbed crystalline semiconductors. Employing the mathematical analogy between the master equations and the tight binding problem we develop approximation schemes using methods of many-particle physics to derive expressions for the averaged propagator of the carriers and the conductivity tensor. The calculated conductivity and Hall conductivity of hopping systems compare extremely well to computer simulations over the whole range of frequency, density, and temperature. We are able to derive expressions for dispersive transport in hopping as well as trapping systems that contain the results of earlier theories of Scher, Montroll and Noolandi, Schmidlin as special cases and establish criteria for the occurrence of dispersive transport in such systems. We find that in principle hopping can lead to dispersive transport if the times and densities are very low, but actual experimental data are more easily explained in terms of multiple trapping.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
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  • 7
    Digitale Medien
    Digitale Medien
    Springer
    Journal of statistical physics 33 (1983), S. 317-339 
    ISSN: 1572-9613
    Schlagwort(e): Chemical kinetics ; master equation ; ideal gas ; molecular dynamics ; irreversibility
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract Isomerization kinetics is studied on a one-dimensional ideal gas model with deterministic transitions. The concentrations of species are found to satisfy the phenomenological rate laws appropriate for diffusion-controlled kinetics, and the various correlations are determined. In the long-time regime, higher correlations present long tails reflecting a strongly non-Markovian evolution.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
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  • 8
    Digitale Medien
    Digitale Medien
    Springer
    Journal of statistical physics 33 (1983), S. 595-609 
    ISSN: 1572-9613
    Schlagwort(e): Fluctuations ; master equation ; chemical explosions
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract A stochastic description of an isothermal chemical system showing explosive behavior is developed. Numerical analysis shows the appearance of multiple humps of the probability distribution. This implies the onset of chaotic behavior reflecting the random character of the ignition process. Various characteristics of the phenomenon, such as onset time and duration, are studied in terms of the size of the system, the intrinsic parameters, and initial conditions. The implications of the results in combustion are discussed.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
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