2008/12/25 by B K Agarwalla, Bijay Kumar Agarwalla, Agarwalla, B K +6
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Computer science #Diffusion #Electric field #FOS: Physical sciences #Field (mathematics) #Mathematical analysis #Mathematical economics #Mathematics #Nonlinear Dynamics and Pattern Formation #Other Condensed Matter (cond-mat.other) #Pattern Formation and Solitons (nlin.PS) #Physics #Pure mathematics #Quantum mechanics #Reaction–diffusion system #Slime Mold and Myxomycetes Research #Statistical physics #Theoretical and Computational Physics #Thermodynamics #Turing #cond-mat.other #nlin.PS
paper · pdf · doi:10.48550/arxiv.0812.4623
published in arXiv (Cornell University) (Cornell University) · 1 figure
arxiv created 2008/12/25 · openalex publication_date 2008/12/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider a two dimensional Turing like system with two diffusing species which interact with each other. Considering the species to be charged, we include the effect of an electric field along a given direction which can lead to a drift induced instability found by A.B.Rovinsky and M.Menzinger\cite9. This allows one to study the competition between diffusion and drift as was done numerically by Riaz et al. We show here that an analytic formula can be found on the basis of a linear stability analysis that incorporates all the effects that are known for the system and also allows for some detailed predictions.