Renormalization Group Solution of the Chutes&Ladder Model
| Autor: | Stefan Boettcher, Lauren A. Ball, Alfred C.K. Farris |
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| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
Statistics and Probability
Physics - Physics and Society Anomalous diffusion Phase (waves) Renormalization group Condensed Matter Physics Random walk Displacement (vector) Bernoulli's principle Exponent Functional renormalization group Statistical physics Condensed Matter - Statistical Mechanics Mathematics |
| Popis: | We analyze a semi-infinite one-dimensional random walk process with a biased motion that is incremental in one direction and long-range in the other. On a network with a fixed hierarchy of long-range jumps, we find with exact renormalization group calculations that there is a dynamical transition between a localized adsorption phase and an anomalous diffusion phase in which the mean-square displacement exponent depends non-universally on the Bernoulli coin. We relate these results to similar findings of unconventional phase behavior in hierarchical networks. Comment: 7 pages, RevTex4.1; for related information, see http://www.physics.emory.edu/faculty/boettcher/ |
| Databáze: | OpenAIRE |
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