Discrete simulation of the dynamics of spread of extreme opinions in a society

We propose a discrete model for how opinions about a given “extreme” subject, about which various groups of a population have different degrees of enthusiasm for or susceptibility to, such as fanaticism, extreme social and political positions, and terrorism, may spread. The model, in a certain limit, is the discrete analogue of a deterministic continuum model suggested by others. We carry out extensive computer simulation of the model by utilizing it on lattices with infinite- or short-range interactions, and on symmetric and hierarchical (or directed) Barabasi–Albert scale-free networks. Several interesting features of the model are demonstrated, and comparison is made with the deterministic continuum model.

[1]  Serge Galam,et al.  On reducing Terrorism Power: A Hint from Physics , 2003 .

[2]  Serge Galam The September 11 attack: A percolation of individual passive support , 2002 .

[3]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.

[4]  Bastien Chopard,et al.  Competing species dynamics: Qualitative advantage versus geography , 1998, cond-mat/9812361.

[5]  M. Newman,et al.  Random graphs with arbitrary degree distributions and their applications. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  S. Galam Heterogeneous beliefs, segregation, and extremism in the making of public opinions. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  S. Solomon,et al.  The importance of being discrete: life always wins on the surface. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[8]  D. Stauffer,et al.  Election results and the Sznajd model on Barabasi network , 2001, cond-mat/0111147.

[9]  D. Stauffer,et al.  SIMULATION OF CONSENSUS MODEL OF DEFFUANT et al. ON A BARABÁSI–ALBERT NETWORK , 2004 .

[10]  S. Galam Minority opinion spreading in random geometry , 2002, cond-mat/0203553.

[11]  S. Galam Global physics: from percolation to terrorism, guerilla warfare and clandestine activities , 2003, cond-mat/0404265.

[12]  Muneer A. Sumour,et al.  MONTE CARLO SIMULATION OF ISING MODEL ON DIRECTED BARABASI–ALBERT NETWORK , 2005 .

[13]  Alejandro D Sánchez,et al.  Nonequilibrium phase transitions in directed small-world networks. , 2002, Physical review letters.

[14]  S. N. Dorogovtsev,et al.  Giant strongly connected component of directed networks. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.