Olami-Feder-Christensen model on different networks

Abstract.We investigate numerically the Self Organized Criticality (SOC) properties of the dissipative Olami-Feder-Christensen model on small-world and scale-free networks. We find that the small-world OFC model exhibits self-organized criticality. Indeed, in this case we observe power law behavior of earthquakes size distribution with finite size scaling for the cut-off region. In the scale-free OFC model, instead, the strength of disorder hinders synchronization and does not allow to reach a critical state.

[1]  Analysis of a dissipative model of self-organized criticality with random neighbors , 1997, adap-org/9706003.

[2]  Jensen,et al.  Transitions in nonconserving models of self-organized criticality. , 1995, Physical review letters.

[3]  Yan Y. Kagan,et al.  Long-term earthquake clustering , 1991 .

[4]  D. Thouless.  Introduction to Phase Transitions and Critical Phenomena , 1972 .

[5]  S Lise,et al.  Self-organized criticality and universality in a nonconservative earthquake model. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Ceva.  Influence of defects in a coupled map lattice modeling earthquakes. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[7]  Henrik Jeldtoft Jensen,et al.  Self-Organized Criticality , 1998 .

[8]  Grinstein,et al.  On self-organized criticality in nonconserving systems. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[9]  R. Stein.  The role of stress transfer in earthquake occurrence , 1999, Nature.

[10]  P. Bak,et al.  Self-organized criticality. , 1988, Physical review. A, General physics.

[11]  D. Turcotte,et al.  Self-organized criticality , 1999 .

[12]  E. Bonabeau.  How nature works: The science of self-organized criticality (copernicus) , 1997 .

[13]  Funabashi,et al.  Scale-free network of earthquakes , 2002 .

[14]  de Carvalho JX,et al.  Self-organized criticality in the olami-feder-christensen model , 1999, Physical review letters.

[15]  Christensen,et al.  Self-organized criticality in a continuous, nonconservative cellular automaton modeling earthquakes. , 1992, Physical review letters.

[16]  Vittorio Loreto,et al.  Space-time combined correlation integral and earthquake interactions , 2004 .

[17]  Christensen,et al.  Scaling, phase transitions, and nonuniversality in a self-organized critical cellular-automaton model. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[18]  W. Ellsworth,et al.  Seismicity Remotely Triggered by the Magnitude 7.3 Landers, California, Earthquake , 1993, Science.

[19]  Gesine Reinert,et al.  Small worlds , 2001, Random Struct. Algorithms.

[20]  P. Grassberger,et al.  Efficient large-scale simulations of a uniformly driven system. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[21]  Maya Paczuski,et al.  Analysis of the spatial distribution between successive earthquakes. , 2005 .

[22]  L. Crescentini,et al.  Constraints on slow earthquake dynamics from a swarm in central italy , 1999, Science.

[23]  S Lise,et al.  Scaling in a nonconservative earthquake model of self-organized criticality. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  H. Stanley,et al.  Introduction to Phase Transitions and Critical Phenomena , 1972 .

[25]  B Kahng,et al.  Sandpile on scale-free networks. , 2003, Physical review letters.

[26]  Tang,et al.  Self-Organized Criticality: An Explanation of 1/f Noise , 2011 .

[27]  Comment on "Self-organized criticality in the Olami-Feder-Christensen model". , 2001, Physical review letters.

[28]  Maya Paczuski,et al.  Nonconservative earthquake model of self-organized criticality on a random graph. , 2002, Physical review letters.

[29]  Random-neighbor Olami-Feder-Christensen slip-stick model , 1998, cond-mat/9805175.

[30]  Mousseau.  Synchronization by Disorder in Coupled Systems. , 1996, Physical review letters.

[31]  Peter Grassberger,et al.  Random Neighbor Theory of the Olami-Feder-Christensen Earthquake Model , 1997 .

[32]  Tom Parsons,et al.  Global Omori law decay of triggered earthquakes: Large aftershocks outside the classical aftershock zone , 2002 .

[33]  Per Bak,et al.  How Nature Works , 1996 .

[34]  Funabashi,et al.  Law for the distance between successive earthquakes , 2002 .

[35]  Per Bak,et al.  How Nature Works: The Science of Self‐Organized Criticality , 1997 .

[36]  Vito Latora,et al.  Power-law time distribution of large earthquakes. , 2003, Physical review letters.

[37]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[38]  Tang,et al.  Self-Organized Criticality in Nonconserved Systems. , 1995, Physical review letters.

[39]  Klein,et al.  Comment on "Self-organized criticality in a continuous, nonconservative cellular automaton modeling earthquakes" , 1993, Physical review letters.

[40]  T. Parsons.  Post-1906 stress recovery of the San Andreas fault system calculated from three-dimensional finite element analysis , 2002 .

[41]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[42]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.