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Condensed Matter > Statistical Mechanics
Title: Varied phenomenology of models displaying dynamical large-deviation singularities
(Submitted on 16 Dec 2020 (v1), last revised 12 Apr 2021 (this version, v2))
Abstract: Singularities of dynamical large-deviation functions are often interpreted as the signal of a dynamical phase transition and the coexistence of distinct dynamical phases, by analogy with the correspondence between singularities of free energies and equilibrium phase behavior. Here we study models of driven random walkers on a lattice. These models display large-deviation singularities in the limit of large lattice size, but the extent to which each model's phenomenology resembles a phase transition depends on the details of the driving. We also compare the behavior of ergodic and non-ergodic models that present large-deviation singularities. We argue that dynamical large-deviation singularities indicate the divergence of a model timescale, but not necessarily one associated with cooperative behavior or the existence of distinct phases.
Submission history
From: Stephen Whitelam [view email][v1] Wed, 16 Dec 2020 18:16:32 GMT (5269kb,D)
[v2] Mon, 12 Apr 2021 17:59:17 GMT (5270kb,D)
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