Generic Absorbing Transition in Coevolution Dynamics

FEDERICO VAZQUEZ; VICTOR M. EGUILUZ; MAXI SAN MIGUEL

PHYSICAL REVIEW LETTERS

AMER PHYSICAL SOC

Año: 2008 vol. 100 p. 108702 - 108702

0031-9007

We study a coevolution voter model on a complex network. A mean-field approximation reveals an absorbing transition from an active to a frozen phase at a critical value pc=(mu-1)/(mu-1) that only depends on theaverage degree mu of the network. In finite-size systems, the active and frozen phases correspond to a connected and a fragmented network, respectively. The transition can be seen as the sudden change in thetrajectory of an equivalent random walk at the critical point, resulting in an approach to the final frozen state whose time scale diverges as|pc-p|^-1 near pc.