title: Frozen states and order-disorder transition in the dynamics of confined membranes.
abstract: The adhesion dynamics of a membrane confined between two permeable walls is studied using a two-dimensional hydrodynamic model. The membrane morphology decomposes into adhesion patches on the upper and the lower walls and obeys a nonlinear evolution equation that resembles that of phase-separation dynamics, which is known to lead to coarsening, i.e., to the endless growth of the adhesion patches. However, due to the membrane bending rigidity, the system evolves toward a frozen state without coarsening. This frozen state exhibits an order-disorder transition when increasing the permeability of the walls.
authors.affiliation: Institut Lumière Matière, UMR5306 Université Lyon 1-CNRS, Université de Lyon, 69622 Villeurbanne, France.
authors.forename: Thomas
authors.initials: T
authors.lastname: Le Goff
authors.affiliation: Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche, Via Madonna del Piano 10, 50019 Sesto Fiorentino, Italy and INFN Sezione di Firenze, via G. Sansone 1, 50019 Sesto Fiorentino, Italy.
authors.forename: Paolo
authors.initials: P
authors.lastname: Politi
authors.affiliation: Institut Lumière Matière, UMR5306 Université Lyon 1-CNRS, Université de Lyon, 69622 Villeurbanne, France.
authors.forename: Olivier
authors.initials: O
authors.lastname: Pierre-Louis
mesh_terms: D002462:Cell Membrane / Q000737:chemistry* / Q000378:metabolism; D005615:Freezing; D057446:Hydrodynamics; D008153:Lubrication; D017711:Nonlinear Dynamics; D010539:Permeability