Ising Lectures

PHASE TRANSITIONS IN SIMPLE MODELS OF SOCIAL DYNAMICS

Janusz Hołyst (Personal webpage)

Warsaw University of Technology

Various models of social dynamics will be presented and resulting equilibrium or non-equilibrium phase transitions will be discussed. It will be shown how a presence of a strong leader in a small community can effect in discontinuous and non-reversible jumps of opinion dynamics. It will be presented that a smaller but better organized social group can beat a larger one. Phenomenon of communities isolation will be demonstrated using a random version of the Chinese game Go.

References:

[1] K. Kacperski, J.A. Hołyst. Opinion formation model with strong leader and external impact: a mean field approach. J. Phys. A, 269 (1999) 511-526.
[2] J.A. Hołyst, K. Kacperski, F. Schweitzer. Phase transitions in social impact models of opinion formation. J. Phys. A, 285 (2000) 199-210.
[3] A. Aleksiejuk, J.A. Hołyst, D. Stauffer. Ferromagnetic phase transition in Barabasi-Albert networks. J. Phys. A, 310 (2002) 260-266.
[4] K. Suchecki, J.A. Hołyst. Ising model on two connected Barabasi-Albert networks. Phys. Rev. E,74 (2006) 011122.
[5] K. Suchecki, J.A. Hołyst. First order phase transition in Ising model on two connected Barabasi-Albert networks. Phys. Rev. E, 74 (2006) 011122.
[6] J. Sienkiewicz, J.A. Hołyst. Nonequilibrium phase transition due to social group isolation. Phys. Rev. E, 80 (2009) 036103.