Dynamical failure of Turing patterns

Details Dynamical failure of Turing patterns Dynamical failure of Turing patterns

2005-08-08

arxiv.org/abs/nlin/0508014v2

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1209/epl/i2005-10580-5

The emergence of stable disordered patterns in reactive system on spatially homogenous substrate is studied in the context of vegetation patterns in the semi-arid climatic zone. It is shown that reaction-diffusion systems that allow for Turing instability may exhibit heterogeneous "glassy" steady state, with no characteristic wavelength, if the diffusion rate associated with the "slow" reactant is very small. Upon decreasing the diffusion constant of the slow reactant three phases are identified: strong diffusion yields a stable homogenous phase, intermediate diffusion implies Turing (crystal like) patterns while in the slow diffusion limit the glassy state is the generic stable solution. In this disordered phase the dynamics is of crucial importance, with strong differences between local and global initiation.

Affiliated with

Also associated with

No associations

Rating

Dynamical failure of Turing patterns does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dynamical failure of Turing patterns, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamical failure of Turing patterns will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-361638