Exact solution of a one dimensional deterministic sandpile model

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Title:	Exact solution of a one dimensional deterministic sandpile model
Authors:	Chang, D.;Lee, Shin-chang;Tzeng, Wen-jer
Contributors:	淡江大學物理學系
Date:	1995-06
Issue Date:	2013-07-09 15:06:43 (UTC+8)
Publisher:	College Park: American Physical Society
Abstract:	Using the transfer matrix method, we give the exact solution of a deterministic sandpile model for arbitrary $N$, where $N$ is the size of a single toppling. The one- and two-point functions are given in term of the eigenvalues of an $N \times N$ transfer matrix. All the n-point functions can be found in the same way. Application of this method to a more general class of models is discussed. We also present a quantitative description of the limit cycle (attractor) as a multifractal.
Relation:	Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics) 51(6), pp.5515-5519
DOI:	10.1103/PhysRevE.51.5515
Appears in Collections:	[Graduate Institute & Department of Physics] Journal Article

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