Dresden 2006 – wissenschaftliches Programm

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AKSOE: Physik sozio-ökonomischer Systeme

AKSOE 10: Poster Session (posters are expected to be displayed the full day 8:30-18:00)

AKSOE 10.62: Poster

Mittwoch, 29. März 2006, 16:00–18:00, P2

Persistence problem in a socio-econo dynamics of the diluted Ising ferromagnet in high dimensions — •Takuya Yamano¹ and Sudhir Jain² — ¹Institut für Theoretische Physik, Otto-Hahn-Allee, Universität Bremen, Germany — ²School of Engineering & Applied Science, Aston University, Birmingham, United Kingdom

The spins in a system which does not flip up to some time t is called the persistence problem. The Glauber dynamics at zero-temperature in the cases of Ising model, disordered, higher dimensions, q-state Potts model and so forth have been studied in the literature. In this presentation, we report the results obtained in a socio-dynamics model with finite temperature on hypercubic lattice (up to 5 dimension) and determine the exponent of the decay of the persistence probability P(t). The model we treat is based on a social local field which contains a magnetization at time t and we impose a ± J model, thai is, a quenched random interaction for pairs, which is drawn from the binary distribution as a function of bonds concentration p. We argue whether or not the blocking phenomena in P(t) exists and implications for the social and economic context.