Out-of-equilibrium stationary states, percolation, and subcritical instabilities in a fully nonconservative system

Abstract : The exploration of the phase diagram of a minimal model for barchan fields leads to the description of three distinct phases for the system: stationary, percolable, and unstable. In the stationary phase the system always reaches an out-of-equilibrium, fluctuating, stationary state, independent of its initial conditions. This state has a large and continuous range of dynamics, from dilute-where dunes do not interact-to dense, where the system exhibits both spatial structuring and collective behavior leading to the selection of a particular size for the dunes. In the percolable phase, the system presents a percolation threshold when the initial density increases. This per-colation is unusual, as it happens on a continuous space for moving, interacting, finite lifetime dunes. For extreme parameters, the system exhibits a subcritical instability, where some of the dunes in the field grow without bound. We discuss the nature of the asymptotic states and their relations to well-known models of statistical physics.
Complete list of metadatas

Cited literature [41 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02001608
Contributor : Mathieu Génois <>
Submitted on : Thursday, January 31, 2019 - 11:41:21 AM
Last modification on : Monday, May 27, 2019 - 6:24:02 PM
Long-term archiving on : Wednesday, May 1, 2019 - 5:22:59 PM

File

10_Out-of-equilibrium stationa...
Publisher files allowed on an open archive

Identifiers

Citation

Mathieu Génois, Pascal Hersen, Eric Bertin, Sylvain Courrech Du Pont, Guillaume Grégoire. Out-of-equilibrium stationary states, percolation, and subcritical instabilities in a fully nonconservative system. Physical Review E , American Physical Society (APS), 2016, 94 (4), pp.042101. ⟨10.1103/physreve.94.042101⟩. ⟨hal-02001608⟩

Share

Metrics

Record views

136

Files downloads

89