Pattern formation and emergence of dynamic equilibrium in source-driven complex Ginzburg-Landau equation

Authors

Brian James S. Aggangan ⋅ PH National Institute of Physics, University of the Philippines Diliman
Christopher P. Monterola ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

Reaction-diffusion systems including their characteristic pattern formation, are ubiquitous in nature. For example, such dynamics are extensively used to explain the stripe and spot formation in animal skin. Here, we investigate the effect of varying the concentration distribution of the source term in a reaction-diffusion system. In particular, we look at the behavior of the complex Ginzburg-Landau equation (CGLE) when driven by linear, sinusoidal, or sigmoidal sources. We also look at the effect of changing the initial concentration (IC) profile from random to Gaussian to“lattice-like” distributions. We report a rich class of patterns, from static to oscillatory, as we vary the IC profile and the source dynamics of CGLE. We observe that dynamic equilibrium in CGLE is a consequence of diffusion term overpowering the reaction component, and is dependent on the interplay of source dynamics and concentration profile. This work adds a new set of pattern classes to reaction-diffusion systems.

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Issue

2010: Proceedings of the 28th Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP-2010-4A-01

Section

Complex Systems

Published

2010-10-25

How to Cite

[1]

BJS Aggangan and CP Monterola, Pattern formation and emergence of dynamic equilibrium in source-driven complex Ginzburg-Landau equation, Proceedings of the Samahang Pisika ng Pilipinas 28, SPP-2010-4A-01 (2010). URL: https://proceedings.spp-online.org/article/view/SPP-2010-4A-01.