SCALINGS OF A MODIFIED MANNA MODEL WITH BULK DISSIPATION

Chien-Fu Chen and Chai-Yu Lin ()
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Chien-Fu Chen: Department of Physics, National Chung Cheng University, Chia-Yi 66117, Taiwan, ROC
Chai-Yu Lin: Department of Physics, National Chung Cheng University, Chia-Yi 66117, Taiwan, ROC

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 02, 273-284

Abstract: This study incorporates bulk dissipation described by a losing probabilityfinto a modified Manna model on anL × Lsquare lattice. The crossover behavior between bulk and boundary dissipation is investigated using the characteristic lengths produced by bulk dissipation. The toppling numberNnand areaNaare studied. For a probability distribution ofNs,${\mathcal P}_s (N_s; L, f)$wheres = nora, the scaling form including the finite-size scaling(f = 0)and the critical scaling(L → ∞)are determined. Subsequently, this paper investigates the joint probability distribution${\mathcal W} (N_a, N_n; L, f)$and provides the scaling relation between the toppling number and area.

Keywords: Bulk dissipation; Manna model; scaling function; 05.50.+q; 05.65.+b (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109013601

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