arXiv subjects

Katarzyna Sznajd-Weron

Publications and source records attributed to Katarzyna Sznajd-Weron.

38 records · Page 3Linked to original sources

arXiv2002

On controlling simple dynamics by a disagreement function

We introduce a formula for the disagreement function which is used to control a recently proposed dynamics of the Ising spin system. This leads to four different phases of the Ising spin chain in a zero temperature. One of these phases is doubly degenerated (anti- and ferromagnetic states are equally probable). On the borders between the phases two types of transitions are observed: infinite degeneration and instability lines. The relaxation of the system depends strongly on the phase.

cond-mat.stat-mech↗

arXiv2001

Opinion evolution in closed community

A simple Ising spin model which can describe a mechanism of making a decision in a closed community is proposed. It is shown via standard Monte Carlo simulations that very simple rules lead to rather complicated dynamics and to a power law in the decision time distribution. It is found that a closed community has to evolve either to a dictatorship or a stalemate state (inability to take any common decision). A common decision can be taken in a "democratic way" only by an open community.

cond-mat.stat-mech↗