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http://hdl.handle.net/2289/4507
Title: | Eulerian walkers as a model of self-organized criticality |
Authors: | Priezzhev, V.B. Dhar, Deepak Dhar, Abhishek Krishnamurthy, Supriya |
Issue Date: | Dec-1996 |
Publisher: | American Physical Society |
Citation: | Physical Review Letters, 1996, Vol.77, p5079 |
Abstract: | We propose a new model of self-organized criticality. A particle is dropped at random on a lattice and moves along directions specified by arrows at each site. As it moves, it changes the direction of the arrows according to fixed rules. On closed graphs these walks generate Euler circuits. On open graphs, the particle eventually leaves the system, and a new particle is then added. The operators corresponding to particle addition generate an Abelian group, same as the group for the Abelian sandpile model on the graph. We determine the critical steady state and some critical exponents exactly, using this equivalence |
Description: | Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations) |
URI: | http://hdl.handle.net/2289/4507 |
Alternative Location: | http://arxiv.org/abs/cond-mat/9611019 http://dx.doi.org/10.1103/PhysRevLett.77.5079 http://adsabs.harvard.edu/abs/1996PhRvL..77.5079P |
Copyright: | 1996 The American Physical Society |
Appears in Collections: | Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
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1996_PhysRevLett_V77_p5079.pdf Restricted Access | Restricted Access | 130.66 kB | Adobe PDF | View/Open Request a copy |
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