Turbulence in small-world networks
Autores: M.G. Cosenza, K. Tucci
Referencia: Physical Review E, 65, 036223, (2002)
Abstract
The transition to turbulence via spatiotemporal intermittency
is investigated in the context of coupled maps defined on
small-world networks. The local dynamics is given by the
Chaté-Manneville minimal map previously used in studies of
spatiotemporal intermittency in ordered lattices. The critical
boundary separating laminar and turbulent regimes is
calculated on the parameter space of the system, given by the
coupling strength and the rewiring probability of the network.
Windows of relaminarization are present in some regions of the
parameter space. New features arise in small-world networks;
for instance, the character of the transition to turbulence
changes from second order to a first order phase transition
at some critical value of the rewiring probability. A linear
relation characterizing the change in the order of the phase
transition is found. The global quantity used as order
parameter for the transition also exhibits nontrivial
collective behavior for some values of the parameters.
These models may describe several processes occurring in
nonuniform media where the degree of disorder can be
continuously varied through a parameter.
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