Self-organized criticality: Analysis and simulation of a 1D sandpile

被引：0

作者：

Lorenz, J ^{[1
]}

Jackett, S ^{[1
]}

Qin, WG ^{[1
]}

机构：

[1] Univ New Mexico, Dept Math & Stat, Albuquerque, NM 87131 USA

来源：

NUMERICAL METHODS FOR BIFURCATION PROBLEMS AND LARGE-SCALE DYNAMICAL SYSTEMS | 2000年 / 119卷

关键词：

random evolution; discrete time dynamical system; Markov matrix; self-organized criticality; sandpile;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

To study the self-organization of systems, their approach towards a critical state, and the statistical properties at criticality, so-called mathematical sandpiles have been suggested. In this paper we analyze elementary properties of a slope-based one-dimensional model, for which one boundary is an abyss, the other is a wall. Our analysis is based on properties of the Markov matrix. Some numerical results for sandpiles with small lattice sizes are also included.

引用

页码：229 / 264

页数：36

共 50 条

[21] Self-organized criticality of air pollution
Shi, Kai
Liu, Chun-Qiong
ATMOSPHERIC ENVIRONMENT, 2009, 43 (21) : 3301 - 3304
[22] Self-Organized Criticality and Thermodynamic Formalism
B. Cessac
Ph. Blanchard
T. Krüger
J. L. Meunier
Journal of Statistical Physics, 2004, 115 : 1283 - 1326
[23] Self-organized criticality and punctuated equilibria
Bak, P
Boettcher, S
PHYSICA D, 1997, 107 (2-4): : 143 - 150
[24] Particle Swarm with Self-Organized Criticality
Fernandes, Carlos M.
Merelo, J. J.
Fernandez, Francisco
Rosa, Agostinho C.
PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON GENETIC AND EVOLUTIONARY COMPUTATION COMPANION (GECCO'12), 2012, : 1397 - 1398
[25] Self-organized criticality and turbulence: Analysis and comparison in the flare statstics
Giuliani, P
Carbone, V
Veltri, P
Boffetta, G
Vulpiani, A
9TH EUROPEAN MEETING ON SOLAR PHYSICS: MAGNETIC FIELDS AND SOLAR PROCESSES, VOLS 1 AND 2, 1999, 448 : 823 - 827
[26] Analysis of rainfall records in India: Self-organized criticality and scaling
Sarkar, A.
Barat, P.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2006, 14 (04) : 289 - 293
[27] Research on city fire self-organized criticality
Wu Lizhi
Duan Yao
Jing Rong
Dong Fajun
Duan Yaoyong
PROGRESS IN SAFETY SCIENCE AND TECHNOLOGY, VOL 6, PTS A AND B, 2006, 6 : 975 - 978
[28] Self-organized criticality of forest fires in China
Song, WG
Fan, WC
Wang, BH
CHINESE SCIENCE BULLETIN, 2001, 46 (13): : 1134 - 1137
[29] Self-organized criticality of forest fires in China
SONG Weiguo
ChineseScienceBulletin, 2001, (13) : 1134 - 1137
[30] A planar Ising model of self-organized criticality
Forien, Nicolas
PROBABILITY THEORY AND RELATED FIELDS, 2021, 180 (1-2) : 163 - 198

← 1 2 3 4 5 →