Pattern formation in individual-based systems with time-varying parameters

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Pattern formation in individual-based systems with time-varying parameters.

We study the patterns generated in finite-time sweeps across symmetry-breaking bifurcations in individual-based models. Similar to the well-known Kibble-Zurek scenario of defect formation, large-scale patterns are generated when model parameters are varied slowly, whereas fast sweeps produce a large number of small domains. The symmetry breaking is triggered by intrinsic noise, originating from...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 2013

ISSN: 1539-3755,1550-2376

DOI: 10.1103/physreve.88.062104