2017/05/30 by Himangsu Bhaumik, Bhaumik, Himangsu, S. B. Santra +1
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Geological formations and processes #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1705.10646
openalex publication_date 2017/05/30 · openalex created_date 2017/06/05 · openalex updated_date 2026/07/28
A two state sandpile model with preferential sand distribution is developed and studied numerically on scale free networks with power-law degree (k) distribution, \em i.e.: Pk∼ k-α. In this model, upon toppling of a critical node sand grains are given one to each of the neighbouring nodes with highest and lowest degrees instead of two randomly selected neighbouring nodes as in a stochastic sandpile model. The critical behaviour of the model is determined by characterizing various avalanche properties at the steady state varying the network structure from scale free to random, tuning α from 2 to 5. The model exhibits mean field scaling on the random networks, α>4. However, in the scale free regime, 2