Physics – Condensed Matter
Scientific paper
1995-12-24
Physics
Condensed Matter
need RevTeX; to appear in Physical Review E January 6, (1995)
Scientific paper
10.1103/PhysRevE.51.5515
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.
Chang Darwin
Lee Shih-Chang
Tzeng Wen-Jer
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