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Slowed exclusion process: hydrodynamics, fluctuations and phase transitions | | Tertuliano Franco
; Patrícia Gonçalves
; Adriana Neumann
; | | Date: |
18 Oct 2013 | | Abstract: | This is a short survey on recent results obtained by the authors on dynamical
phase transitions of interacting particle systems. We consider particle systems
with exclusion dynamics, but it is conjectured that our results should hold for
a general class of particle systems. The parameter giving rise to the phase
transition is the "slowness" of a single bond in the discrete lattice. The
phase transition is verified not only in the hydrodynamics, but also in the
fluctuations of the density, the current and the tagged particle. Moreover, we
found a phase transition in the continuum, that is, at the level of the
hydrodynamic equations, in agreement with the dynamical phase transition for
the particle systems. | | Source: | arXiv, 1310.5161 | | Services: | Forum | Review | PDF | Favorites | |
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