Details

Autor(en) / Beteiligte

• Biancalani, Tommaso
• Galla, Tobias
• McKane, Alan J

Titel

Stochastic waves in a Brusselator model with nonlocal interaction

Ist Teil von

• Physical review. E, Statistical, nonlinear, and soft matter physics, 2011-08, Vol.84 (2 Pt 2), p.026201-026201, Article 026201

Ort / Verlag

United States

Erscheinungsjahr

2011

Quelle

PROLA - Physical Review Online Archive

Beschreibungen/Notizen

• We show that intrinsic noise can induce spatiotemporal phenomena such as Turing patterns and traveling waves in a Brusselator model with nonlocal interaction terms. In order to predict and to characterize these stochastic waves we analyze the nonlocal model using a system-size expansion. The resulting theory is used to calculate the power spectra of the stochastic waves analytically and the outcome is tested successfully against simulations. We discuss the possibility that nonlocal models in other areas, such as epidemic spread or social dynamics, may contain similar stochastically induced patterns.