Residence Time Distribution of Sand Grains in the 1-Dimensional Abelian Sandpile Model

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dc.creatorPradhan, Punyabrata
dc.creatorNagar, Apoorva
dc.date2004-03-31
dc.date.accessioned2026-07-07T09:30:53Z
dc.date.available2026-07-07T09:30:53Z
dc.descriptionWe study the probability distribution of residence time, $T$, of the sand grains in the one dimensional abelian sandpile model on a lattice of $L$ sites, for $T<<L^2$ and $T>>L^2$. The distribution function decays as $\exp(-\frac{K_LT}{L^2})$. We numerically calculate the coefficient $K_L$ for the value of $L$ upto 150 . Interestingly the distribution function has a scaling form $\frac{1}{L^a}f(\frac{T}{L^b})$ with $a \neq b$ for large $L$.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0403769
dc.identifierhttp://arxiv.org/abs/cond-mat/0403769
dc.identifierProceedings of National conference on nonlinear systems and dynamics (NCNSD-2003), page 97 (2003).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158265
dc.subjectStatistical Mechanics
dc.titleResidence Time Distribution of Sand Grains in the 1-Dimensional Abelian Sandpile Model
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