Modeling transport across the running-sandpile cellular automaton by means of fractional transport equations
نویسندگان
چکیده
منابع مشابه
Cellular Automaton Modeling of Passenger Transport Systems
Jamming phenomena are observed everywhere in our daily live. These stagnations in flow occur not only on highways, but also in stadiums, in public transportation like buses and trains, in the world of the Internet, and even in our bodies. Almost everyone will have a negative image of a “jam”, which means the clogging of the flow of traffic, however we do have positive reactions to some kinds of...
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The influence functional method of Feynman and Vernon is used to obtain a quantum master equation for a system subjected to a Lévy stable random force. The corresponding classical transport equations for the Wigner function are then derived, both in the limits of weak and strong friction. These are fractional extensions of the Klein-Kramers and the Smoluchowski equations. It is shown that the f...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2018
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.97.052123