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DY: Fachverband Dynamik und Statistische Physik

DY 12: Nonlinear dynamics, synchronization and chaos II

DY 12.1: Vortrag

Dienstag, 26. Februar 2008, 10:00–10:15, MA 004

Decelerating microdynamics accelerates macrodynamics in the voter model — Hans-Ulrich Stark, Claudio Juan Tessone, and •Frank Schweitzer — Chair of Systems Design,ETH Zurich, Switzerland

We study an extension to the standard voter model, in which voters have an individual inertia to change their state. We assume that this inertia increases with the time a voter has been in its current state. Increasing the level of inertia in the system decelerates the microscopic dynamics. Counter-intuitively, we find that the time to reach a macroscopic ordered state can be accelerated for intermediate levels of inertia. This is true for different network topologies, including fully-connected ones. We derive a mean-field approach that shows that the origin of this phenomenon is the break of the magnetization conservation because of the evolving inertia. We find that the dynamics near the ordered state is governed by two competing processes, which stabilize either the majority or the minority of voters. If the first one dominates, it accelerates the ordering of the system.