Towards Classification of Phase Transitions in Reaction--Diffusion Models
| dc.creator | Elgart, Vlad | |
| dc.creator | Kamenev, Alex | |
| dc.date | 2006-05-01 | |
| dc.date | 2006-10-12 | |
| dc.date.accessioned | 2026-07-07T07:08:41Z | |
| dc.date.available | 2026-07-07T07:08:41Z | |
| dc.description | Equilibrium phase transitions are associated with rearrangements of minima of a (Lagrangian) potential. Treatment of non-equilibrium 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 topology of the phase portraits of corresponding Hamiltonians. In models with an absorbing state such a topology is fully determined by intersecting curves of zero ``energy''. We identify four families of topologically distinct classes of phase portraits stable upon RG transformations. | |
| dc.description | 14 pages, 9 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0605041 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0605041 | |
| dc.identifier | Phys. Rev. E 74, 041101 (2006) | |
| dc.identifier | doi:10.1103/PhysRevE.74.041101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110800 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Populations and Evolution | |
| dc.title | Towards Classification of Phase Transitions in Reaction--Diffusion Models | |
| dc.type | text |