CONTINUOUS ABELIAN SANDPILE MODEL IN TWO DIMENSIONAL LATTICE

被引:3
作者
Azimi-Tafreshi, N. [1 ]
Lotfi, E. [1 ]
Moghimi-Araghi, S. [1 ]
机构
[1] Sharif Univ Technol, Dept Phys, Tehran, Iran
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2011年 / 25卷 / 32期
关键词
Self-organized criticality; sandpile models; SELF-ORGANIZED CRITICALITY; CONFORMAL FIELD-THEORY;
D O I
10.1142/S0217979211052654
中图分类号
O59 [应用物理学];
学科分类号
摘要
We investigate a new version of sandpile model which is very similar to Abelian Sandpile Model (ASM), but the height variables are continuous ones. With the toppling rule we define in our model, we show that the model can be mapped to ASM, so the general properties of the two models are identical. Yet the new model allows us to investigate some problems such as the effect of very small mass on the height probabilities, different boundary conditions, etc.
引用
收藏
页码:4709 / 4720
页数:12
相关论文
共 29 条
[1]  
[Anonymous], 1998, Cambridge Lecture Notes in Physics
[2]  
Azimi-Tafreshi N., UNPUB
[3]   SELF-ORGANIZED CRITICALITY - AN EXPLANATION OF 1/F NOISE [J].
BAK, P ;
TANG, C ;
WIESENFELD, K .
PHYSICAL REVIEW LETTERS, 1987, 59 (04) :381-384
[4]  
DHAR D, 1990, PHYS REV LETT, V64, P2837, DOI 10.1103/PhysRevLett.64.2837.2
[5]   SELF-ORGANIZED CRITICAL STATE OF SANDPILE AUTOMATON MODELS [J].
DHAR, D .
PHYSICAL REVIEW LETTERS, 1990, 64 (14) :1613-1616
[6]  
DHAR D, CONDMAT9909009, P53810
[7]  
Fey A., MATHPH0701029
[8]   ABELIAN AVALANCHES AND TUTTE POLYNOMIALS [J].
GABRIELOV, A .
PHYSICA A, 1993, 195 (1-2) :253-274
[9]   Nonconservative sandpile models [J].
Ghaffari, P ;
Lise, S ;
Jensen, HJ .
PHYSICAL REVIEW E, 1997, 56 (06) :6702-6709
[10]   BOUNDARY HEIGHT CORRELATIONS IN A 2-DIMENSIONAL ABELIAN SANDPILE [J].
IVASHKEVICH, EV .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (11) :3643-3653