Correlated dynamics of inclusions in a supported membrane
arXiv:1006.3569 · doi:10.1103/PhysRevE.82.041912
Abstract
The hydrodynamic theory of heterogeneous fluid membranes is extended to the case of a membrane adjacent to a solid substrate. We derive the coupling diffusion coefficients of pairs of membrane inclusions in the limit of large separation compared to the inclusion size. Two-dimensional compressive stresses in the membrane make the coupling coefficients decay asymptotically as with interparticle distance . For the common case, where the distance to the substrate is of sub-micron scale, we present expressions for the coupling between distant disklike inclusions, which are valid for arbitrary inclusion size. We calculate the effect of inclusions on the response of the membrane and the associated corrections to the coupling diffusion coefficients to leading order in the concentration of inclusions. While at short distances the response is modified as if the membrane were a two-dimensional suspension, the large-distance response is not renormalized by the inclusions.
15 pages
References in corpus (13)
- Dynamics of viscoelastic membranes
- Hydrodynamic interaction in confined geometries
- Corrections to the Saffman-Delbruck mobility for membrane bound proteins
- Correlated diffusion of membrane proteins and their effect on membrane viscosity
- Hydrodynamics of Monolayer Domains at the Air-Water Interface
- Hybrid Elastic/Discrete-Particle Approach to Biomembrane Dynamics with Application to the Mobility of Curved Integral Membrane Proteins
- Dynamics of rigid and flexible extended bodies in viscous films and membranes
- On the mobility of extended bodies in viscous films and membranes
- Dynamic simulations of multicomponent lipid membranes over long length and time scales
- Diffusing proteins on a fluctuating membrane: Analytical theory and simulations
- Effects of an embedding bulk fluid on phase separation dynamics in a thin liquid film
- Two-Component Fluid Membranes Near Repulsive Walls: Linearized Hydrodynamics of Equilibrium and Non-equilibrium States
- Conditions for extreme sensitivity of protein diffusion in membranes to cell environments
Cited by in corpus (24)
- Physical aspects of heterogeneities in multi-component lipid membranes
- Non-reciprocal response of a two-dimensional fluid with odd viscosity
- Dynamics of membranes with immobile inclusions
- Diffusion coefficient of an inclusion in a liquid membrane supported by a solvent of arbitrary thickness
- Nonequilibrium Transport Induced by Biological Nanomachines
- Hydrodynamics of an odd active surfer in a chiral fluid
- Lateral diffusion induced by active proteins in a biomembrane
- Anomalous lateral diffusion in a viscous membrane surrounded by viscoelastic media
- Diffusion coefficients in leaflets of bilayer membranes
- Pair dynamics of active force dipoles in an odd-viscous fluid
- Vortex Flows and Streamline Topology in Curved Biological Membranes
- Hydrodynamic coupling for particle-based solvent-free membrane models
- Shear viscosity of two-state enzyme solutions
- Three-disk microswimmer in a supported fluid membrane
- Active gels, heavy tails, and the cytoskeleton
- Axisymmetric monopole and dipole flow singularities in proximity of a stationary no-slip plate immersed in a Brinkman fluid
- Persistent Collective Motion of a Dispersing Membrane Domain
- Correlated diffusion of colloidal particles near a liquid-liquid interface
- Hydrodynamic coupling between two fluid membranes
- Vortex Dynamics in Tubular Fluid Membranes
- Arbitrary Lagrangian--Eulerian finite element method for lipid membranes
- Permeability of immobile rings of membrane inclusions to in-plane flow
- Relationship between Characteristic Lengths and Effective Saffman Length in Colloidal Monolayers near a Water-Oil Interface
- Hamiltonian Active Particles in Incompressible Fluid Membranes