scholarly journals A minimalist model of characteristic earthquakes

2002 ◽  
Vol 9 (5/6) ◽  
pp. 513-519 ◽  
Author(s):  
M. Vázquez-Prada ◽  
Á. González ◽  
J. B. Gómez ◽  
A. F. Pacheco
Keyword(s):  
Recurrence Time ◽  
Characteristic Earthquake ◽  
One Dimensional ◽  
Self Organized ◽  
Algebraic Description ◽  
Earthquake Size ◽  
Self Organized Criticality ◽  
Characteristic Earthquakes ◽  
Frequency Relation

Abstract. In a spirit akin to the sandpile model of self-organized criticality, we present a simple statistical model of the cellular-automaton type which simulates the role of an asperity in the dynamics of a one-dimensional fault. This model produces an earthquake spectrum similar to the characteristic-earthquake behaviour of some seismic faults. This model, that has no parameter, is amenable to an algebraic description as a Markov Chain. This possibility illuminates some important results, obtained by Monte Carlo simulations, such as the earthquake size-frequency relation and the recurrence time of the characteristic earthquake.

On Self-Organized Criticality of the East China AC–DC Power System—The Role of DC Transmission

2013 ◽  
Vol 28 (3) ◽  
pp. 3204-3214 ◽  
Author(s):  
Jingzhe Tu ◽  
Huanhai Xin ◽  
Zhen Wang ◽  
Deqiang Gan ◽  
Zhilong Huang
Keyword(s):  
Power System ◽  
East China ◽  
Self Organized ◽  
Dc Power ◽  
Self Organized Criticality

SELF-ORGANIZED CRITICALITY IN 1D TRAFFIC FLOW

Fractals ◽  
1996 ◽  
Vol 04 (03) ◽  
pp. 279-283 ◽  
Author(s):  
TAKASHI NAGATANI
Keyword(s):  
Traffic Flow ◽  
Transition Probability ◽  
Annihilation Process ◽  
One Dimensional ◽  
Traffic Jams ◽  
Self Organized ◽  
Stochastic Transition ◽  
Self Organized Criticality ◽  
The One ◽  
Empty Wave

Annihilation process of traffic jams is investigated in a one-dimensional traffic flow on a highway. The one-dimensional fully asymmetric exclusion model with open boundaries for parallel update is extended to take into account stochastic transition of cars, where a car moves ahead with transition probability pt. Near pt=1, the system is driven asymptotically into a steady state exhibiting a self-organized criticality. Traffic jams with various lifetimes (or sizes) appear and disappear by colliding with an empty wave. The typical lifetime <m> of traffic jams scales as [Formula: see text], where ∆pt=1−pt. It is shown that the cumulative lifetime distribution Nm(∆pt) satisfies the scaling form [Formula: see text].

SELF-ORGANIZED CRITICALITY IN A WEIGHTED EARTHQUAKE MODEL

2009 ◽  
Vol 20 (03) ◽  
pp. 351-360 ◽  
Author(s):  
GUI-QING ZHANG ◽  
LIN WANG ◽  
TIAN-LUN CHEN
Keyword(s):  
Original Model ◽  
Oscillatory Activity ◽  
Transient Time ◽  
Weighted Network ◽  
Scale Free ◽  
Network Parameters ◽  
Self Organized ◽  
Earthquake Model ◽  
Earthquake Size ◽  
Self Organized Criticality

A weighted scale-free OFC model improving the redistribution rule of the original model has been introduced. Our model displays self-organized criticality behaviors with different network parameters, and the average earthquake size has been introduced to show the different effects of these parameters. Transient and oscillatory activity have been detected based on our weighted network, and the transient time increases with decreasing dissipative parameter.

Lattice Animals and Self-Organized Criticality

Fractals ◽  
1997 ◽  
Vol 05 (02) ◽  
pp. 199-213 ◽  
Author(s):  
A. Yu Shahverdian
Keyword(s):  
Weyl’S Theorem ◽  
Dynamical System Theory ◽  
Lattice Animals ◽  
Additional Time ◽  
One Dimensional ◽  
Self Organized ◽  
Special Cases ◽  
Self Organized Criticality ◽  
The One

The paper considers one model of SOC close to BTW and slider blocks models. In addition, it introduces an additional time parameter and imposes special restrictions on the avalanche geometrical structure. The generalization and modification of the avalanche's concept allows us to apply H. Weyl's theorem in the dynamical system theory so as to obtain the strong and exact results in this area. We introduce some combinatorial characteristic of clusters and use it as a tool for estimating the frequency of the avalanches. The results obtained give the asymptotically exact expressions for the asymptotical frequency as well as two special types of such extended avalanches. In some special cases, they reduce the determination of the frequency of the avalanches to combinatorial enumerative problem for lattice animals on the d-dimensional torus. The other two results are related to the one-dimensional model and establish the connection between the SOC and the theory of number partitions.

Self-organized criticality in one-dimensional packet flow model

2000 ◽  
Vol 9 (9) ◽  
pp. 641-648 ◽  
Author(s):  
Yuan Jian ◽  
Ren Yong ◽  
Shan Xiu-ming
Keyword(s):  
Flow Model ◽  
One Dimensional ◽  
Self Organized ◽  
Self Organized Criticality

The role of self-organization during confined comminution of granular materials

2010 ◽  
Vol 368 (1910) ◽  
pp. 231-247 ◽  
Author(s):  
Oded Ben-Nun ◽  
Itai Einav
Keyword(s):  
Fractal Dimension ◽  
Granular Materials ◽  
Power Law ◽  
Self Organization ◽  
Self Organized ◽  
Self Organized Criticality ◽  
Self Similar ◽  
Discrete Element Simulations ◽  
Comprehensive Study

During confined comminution of granular materials a power-law grain size distribution (gsd) frequently evolves. We consider this power law as a hint for fractal topology if self-similar patterns appear across the scales. We demonstrate that this ultimate topology is mostly affected by the rules that define the self-organization of the fragment subunits, which agrees well with observations from simplistic models of cellular automata. There is, however, a major difference that highlights the novelty of the current work: here the conclusion is based on a comprehensive study using two-dimensional ‘crushable’ discrete-element simulations that do not neglect physical conservation laws. Motivated by the paradigm of self-organized criticality, we further demonstrate that in uniaxial compression the emerging ultimate fractal topology, as given by the fractal dimension, is generally insensitive to alteration of global index properties of initial porosity and initial gsd. Finally, we show that the fractal dimension in the confined crushing systems is approached irrespective of alteration of the criteria that define when particles crush.

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