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Journal of Mathematical Chemistry

, Volume 52, Issue 1, pp 188–197 | Cite as

Diffusion driven instability to a drift driven one: Turing patterns in the presence of an electric field

  • Bijay K. Agarwalla
  • Sainyam Galhotra
  • J. K. Bhattacharjee
Original Paper

Abstract

We report a general formula for the critical electric field required to trigger a pattern formation in a Turing system in the presence of an electric field (drift term). Our result encompasses all situations from pure diffusion to pure drift.

Keywords

Turing system Reaction-diffusion system Pattern formation  Electric field Differential mobility 

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Bijay K. Agarwalla
    • 1
  • Sainyam Galhotra
    • 2
  • J. K. Bhattacharjee
    • 3
  1. 1.Department of Physics and Centre for computational Science and EngineeringNational University of SingaporeSingapore Republic of Singapore
  2. 2.Department of Computer Science and EngineeringIIT DelhiHauz Khas India
  3. 3.Harish Chandra Research InstituteAllahabad India

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