Patterning in systems driven by nonlocal external forces - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review E Année : 2016

Patterning in systems driven by nonlocal external forces

Résumé

This work focuses on systems displaying domain patterns resulting from competing external and internal dynamics. To this end, we introduce a Lyapunov functional capable of describing the steady states of systems subject to external forces, by adding nonlocal terms to the Landau Ginzburg free energy of the system. Thereby, we extend the existing methodology treating long-range order interactions, to the case of external nonlocal forces. By studying the quadratic term of this Lyapunov functional, we compute the phase diagram in the temperature versus external field and we determine all possible modulated phases (domain patterns) as a function of the external forces and the temperature. Finally, we investigate patterning in chemical reactive mixtures and binary mixtures under irradiation, and we show that the last case opens the path toward micro-structural engineering of materials.
Fichier principal
Vignette du fichier
2016_44.pdf (397.1 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-01496968 , version 1 (28-03-2017)

Identifiants

Citer

Laurence Luneville, K Mallick, V Pontikis, D Simeone. Patterning in systems driven by nonlocal external forces. Physical Review E , 2016, 94, pp.052126. ⟨10.1103/PhysRevE.94.052126⟩. ⟨hal-01496968⟩
111 Consultations
107 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More