Classification of phase transitions in reaction-diffusion models.
@article{Elgart2006ClassificationOP, title={Classification of phase transitions in reaction-diffusion models.}, author={Vlad Elgart and Alex Kamenev}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2006}, volume={74 4 Pt 1}, pages={ 041101 } }
Equilibrium phase transitions are associated with rearrangements of minima of a (Lagrangian) potential. Treatment of nonequilibrium systems requires doubling of degrees of freedom, which may be often interpreted as a transition from the "coordinate"- to the "phase"-space representation. As a result, one has to deal with the Hamiltonian formulation of the field theory instead of the Lagrangian one. We suggest a classification scheme of phase transitions in reaction-diffusion models based on the…
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