标题： TO_BE_TRANSLATED: Self organized criticality in a sandpile model with threshold dissipation 显示英文标题

标题： Self organized criticality in a sandpile model with threshold dissipation

摘要： TO_BE_TRANSLATED: We study a nonconservative sandpile model in one dimension, in which, if the height at any site exceeds a threshold value, the site topples by transferring one particle along each bond connecting it to its neighbours. Its height is then set to one, irrespective of the initial value. The model shows nontrivial critical behavior. We solve this model analytically in one dimension for all driving rates. We calculate all the two point correlation functions in this model, and find that the average local height decreases as inverse of the distance from the nearest boundary and the power spectrum of fluctuations of the total mass varies as $1/f$. 显示英文摘要

摘要： We study a nonconservative sandpile model in one dimension, in which, if the height at any site exceeds a threshold value, the site topples by transferring one particle along each bond connecting it to its neighbours. Its height is then set to one, irrespective of the initial value. The model shows nontrivial critical behavior. We solve this model analytically in one dimension for all driving rates. We calculate all the two point correlation functions in this model, and find that the average local height decreases as inverse of the distance from the nearest boundary and the power spectrum of fluctuations of the total mass varies as $1/f$.