On the Probability of Occurrence of Clusters in Abelian Sandpile Model
نویسنده
چکیده
We have performed extensive simulations on the Abelian Sandpile Model (ASM) on square lattice. We have estimated the probability of observation of many clusters. Some are in good agreement with previous analytical results, while some show discrepancies between simulation and analytical results.
منابع مشابه
Abelian Sandpile Model: a Conformal Field Theory Point of View
In this paper we derive the scaling fields in c = −2 conformal field theory associated with weakly allowed clusters in abelian sandpile model and show a direct relation between the two models.
متن کاملOrganized versus self-organized criticality in the abelian sandpile model
We define stabilizability of an infinite volume height configuration and of a probability measure on height configurations. We show that for high enough densities, a probability measure cannot be stabilized. We also show that in some sense the thermodynamic limit of the uniform measures on the recurrent configurations of the abelian sandpile model (ASM) is a maximal element of the set of stabil...
متن کاملResidence Time Distribution of Sand Grains in the 1-Dimensional Abelian Sandpile Model
We 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 and T >> L. The distribution function decays as exp(−L L2 ). We numerically calculate the coefficient KL for the value of L upto 150 . Interestingly the distribution function has a scaling form 1 La f( T Lb ) with a 6= b for large L. K...
متن کاملHigher Order and boundary Scaling Fields in the Abelian Sandpile Model
The Abelian Sandpile Model (ASM) is a paradigm of self-organized criticality (SOC) which is related to c = −2 conformal field theory. The conformal fields corresponding to some height clusters have been suggested before. Here we derive the first corrections to such fields, in a field theoretical approach, when the lattice parameter is non-vanishing and consider them in the presence of a boundar...
متن کاملSpatial Asymmetric Two dimensional Continuous Abelian Sandpile Model
We insert some asymmetries in the continuous Abelian sandpile models, such as directedness and ellipticity. We analyze probability distribution of different heights and also find the field theory corresponding to the models. Also we find the fields associated with some height variables. PACS : 05.65+b, 89.75.Da
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004