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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
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Copyright: 1996 The American Physical Society
Appears in Collections:Research Papers (TP)

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