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APS » Journals » Phys. Rev. E » Volume 80 » Issue 4
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Phys. Rev. E 80, 046117 (2009) [14 pages]

Lagrangian field theory of reaction-diffusion

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C. Cherubini and S. Filippi
Nonlinear Physics and Mathematical Modeling Laboratory, University Campus Bio-Medico, I-00128 Rome, Italy and I.C.R.A., University of Rome “La Sapienza,” I-00185 Rome, Italy

Received 9 June 2009; revised 9 August 2009; published 22 October 2009

It is commonly accepted that reaction-diffusion equations cannot be obtained by a Lagrangian field theory. Guided by the well known connection between quantum and diffusion equations, we implement here a Lagrangian approach valid for totally general nonlinear reacting-diffusing systems which allows the definition of global conserved observables derived using Nöther’s theorem.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.80.046117
DOI:
10.1103/PhysRevE.80.046117
PACS:
82.40.Ck, 87.18.Hf, 03.65.−w, 46.15.Cc
 
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