Combinatorial mappings of exclusion processes
نویسندگان
چکیده
منابع مشابه
Strata of Random Mappings – a Combinatorial Approach
Let Fn denote the set of all mappings φ : {1, . . . , n} → {1, . . . , n} and assume that this set is equipped with the uniform distribution. Then a mapping φ ∈ Fn is usually called a random mapping. For our investigations it is convenient to represent random mappings by its functional graph Gφ, i.e. the graph consisting of the nodes 1, 2, . . . , n and of the edges (i, φ(i)), i = 1, . . . , n....
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Trajectory data from observations of a random-walk process are often used to characterize macroscopic transport coefficients and to make inferences about motility mechanisms. Continuum equations describing the average moments of the position of an agent in an exclusion process are derived and validated with simulation data. Unlike standard noninteracting random walks, the moment equations for t...
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Combinatorics, Probability & Computing / Volume 11 / Issue 01 / January 2002, pp 61 78 DOI: 10.1017/S0963548301005016, Published online: 14 February 2002 Link to this article: http://journals.cambridge.org/abstract_S0963548301005016 How to cite this article: E. MANSTAVICIUS (2002). Mappings on Decomposable Combinatorial Structures: Analytic Approach. Combinatorics, Probability & Computing, 11, ...
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We introduce driven exclusion processes with internal states that serve as generic transport models in various contexts, ranging from molecular or vehicular traffic on parallel lanes to spintronics. The ensuing nonequilibrium steady states are controllable by boundary as well as bulk rates. A striking polarization phenomenon accompanied by domain wall motion and delocalization is discovered wit...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2020
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/ab73aa