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Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Oct;80(4 Pt 2):046117. Epub 2009 Oct 22.

Lagrangian field theory of reaction-diffusion.

Author information

1
Nonlinear Physics and Mathematical Modeling Laboratory, University Campus Bio-Medico, Rome, Italy.

Abstract

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.

PMID:
19905400
DOI:
10.1103/PhysRevE.80.046117
[Indexed for MEDLINE]

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