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- W2020878350 abstract "Equivalence between the nonhomogeneous generalized master equation and the generalized continuous-time random walk model, including the time dependent correlations over consecutive jumps of a tagged particle diffusing in a concentrated lattice gas, is established by means of an explicit general relation between the waiting-time distributions and the memory kernels. It is proved also that for the Bravais nontriangular lattice the self-correlation function obeys with good approximation the nonhomogeneous second-order integrodifferential equation. A special example of the waiting-time distributions, and hence of the memory kernels is also presented; application of the latter in the formalism proposed leads to the higher-order differential equations, already without the integral kernels.Es wird die Aquivalenz zwischen der inhomogenen verallgemeinerten Master-Gleichung und dem verallgemeinerten Modell der Zufallswege mit kontinuierlicher Zeit, welches zeitabhangige Korrelationen aufeinander folgender Sprunge eines markierten diffundierenden Teilchens im konzentrierten Gittergas enthalt, mit Hilfe einer expliziten Beziehung zwischen der Wartezeitverteilung und den Gedachtniskernen gezeigt. Ferner wird bewiesen, das die Autokorrelationsfunktion fur das nicht-dreieckige Bravaisgitter eine inhomogene Integro-Differentialgleichung zweiten Grades mit guter Naherung erfullt. Ein spezielles Beispiel der Wartezeitverteilung und der Gedachtniskerne wird behandelt; die Anwendung des letzteren in dem vorgeschlagenen Formalismus fuhrt zu Differentialgleichungen hoheren Grades schon ohne Integralkerne." @default.
- W2020878350 created "2016-06-24" @default.
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- W2020878350 date "1986-06-01" @default.
- W2020878350 modified "2023-09-26" @default.
- W2020878350 title "Nonhomogeneous generalized master equation and nonhomogeneous second-order integrodifferential equation for the time-dependent back-jump effect" @default.
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- W2020878350 doi "https://doi.org/10.1002/pssb.2221350212" @default.
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