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Stefan problem for a non-ergodic facilitated exclusion process | | Oriane Blondel
; Clément Erignoux
; Marielle Simon
; | | Date: |
19 Dec 2019 | | Abstract: | We consider the facilitated exclusion process, which is a non-ergodic,
kinetically constrained exclusion process. We show that in the hydrodynamic
limit, its macroscopic behavior is governed by a free boundary problem. The
particles evolve on the one-dimensional lattice according to jump rates which
are degenerate, since they can vanish on non-trivial configurations and create
distinct phases: indeed, configurations can be totally blocked (they cannot
evolve under the dynamics), ergodic (they belong to an irreducible component),
or transient (after a transitive period of time they will become either blocked
or ergodic). We additionally prove that the microscopic separation into
blocked/ergodic phases fully coincides with the moving interface problem given
by the hydrodynamic equation. | | Source: | arXiv, 1912.9583 | | Services: | Forum | Review | PDF | Favorites | |
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