Frozen states and order-disorder transition in the dynamics of confined membranes
arXiv:1409.2525 · doi:10.1103/PhysRevE.90.032114
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 towards a frozen state without coarsening. This frozen state exhibits an order-disorder transition when increasing the permeability of the walls.
arXiv comment9 pages. To appear in Phys. Rev. E
References in corpus (6)
- Simulation studies of stratum corneum lipid mixtures
- Adhesion of membranes via receptor-ligand complexes: Domain formation, binding cooperativity, and active processes
- Supported Membranes on Chemically Structured and Rough Surfaces
- Controlling interactions in supported bilayers from weak electrostatic repulsion to high osmotic pressure
- Random pinning limits the size of membrane adhesion domains
- Fluctuation Pressure of Biomembranes in Planar Confinement
Cited by in corpus (6)
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