Sticky grains do not change the universality class of isotropic sandpiles

被引:12
作者
Bonachela, Juan A. [1 ]
Ramasco, Jose J.
Chate, Hugues
Dornic, Ivan
Munoz, Miguel A.
机构
[1] Univ Granada, Fac Ciencias, Inst Fis Teor & Computac Carlos I, E-18071 Granada, Spain
[2] Emory Univ, Dept Phys, Atlanta, GA 30322 USA
[3] CEN Saclay, CEA, Serv Phys Etat Condense, F-91191 Gif Sur Yvette, France
来源
PHYSICAL REVIEW E | 2006年 / 74卷 / 05期
关键词
D O I
10.1103/PhysRevE.74.050102
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
y We revisit the sandpile model with "sticky" grains introduced by Mohanty and Dhar [Phys. Rev. Lett. 89, 104303 (2002)] whose scaling properties were claimed to be generically in the universality class of directed percolation for both isotropic and directed models. While for directed models this conclusion is unquestionable, for isotropic models we present strong evidence that the asymptotic scaling in the self-organized regime (in which a stationary critical state exists in the limit of slow driving and vanishing dissipation rate) is, like other stochastic sandpiles, generically in the Manna universality class. This conclusion is drawn from extensive Monte Carlo simulations, and is strengthened by the analysis of the Langevin equations (proposed by the same authors to account for this problem), argued to converge upon coarse-graining to the well-established set of Langevin equations for the Manna class.
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页数:4
相关论文
共 37 条
[1]  
[Anonymous], ADV CONDENSED MATTER
[2]   SELF-ORGANIZED CRITICALITY [J].
BAK, P ;
TANG, C ;
WIESENFELD, K .
PHYSICAL REVIEW A, 1988, 38 (01) :364-374
[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]   Universality in sandpile models [J].
BenHur, A ;
Biham, O .
PHYSICAL REVIEW E, 1996, 53 (02) :R1317-R1320
[5]   Evidence for universality within the classes of deterministic and stochastic sandpile models [J].
Biham, O ;
Milshtein, E ;
Malcai, O .
PHYSICAL REVIEW E, 2001, 63 (06)
[6]   Universality in sandpiles [J].
Chessa, A ;
Stanley, HE ;
Vespignani, A ;
Zapperi, S .
PHYSICAL REVIEW E, 1999, 59 (01) :R12-R15
[7]   The Abelian sandpile and related models [J].
Dhar, D .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1999, 263 (1-4) :4-25
[8]   Paths to self-organized criticality [J].
Dickman, R ;
Muñoz, MA ;
Vespignani, A ;
Zapperi, S .
BRAZILIAN JOURNAL OF PHYSICS, 2000, 30 (01) :27-41
[9]   Sandpiles with height restrictions -: art. no. 016111 [J].
Dickman, R ;
Tomé, T ;
de Oliveira, MJ .
PHYSICAL REVIEW E, 2002, 66 (01) :1-016111
[10]   NUMERICAL STUDY OF A FIELD-THEORY FOR DIRECTED PERCOLATION [J].
DICKMAN, R .
PHYSICAL REVIEW E, 1994, 50 (06) :4404-4409