On The Critical Casimir Interaction Between Anisotropic Inclusions On A Membrane
arXiv:1706.00905 · doi:10.1039/C7CP03874G
Abstract
Using a lattice model and a versatile thermodynamic integration scheme, we study the critical Casimir interactions between inclusions embedded in a two-dimensional critical binary mixtures. For single-domain inclusions we demonstrate that the interactions are very long range, and their magnitudes strongly depend on the affinity of the inclusions with the species in the binary mixtures, ranging from repulsive when two inclusions have opposing affinities to attractive when they have the same affinities. When one of the inclusions has no preference for either of the species, we find negligible critical Casimir interactions. For multiple-domain inclusions, mimicking the observations that membrane proteins often have several domains with varying affinities to the surrounding lipid species, the presence of domains with opposing affinities does not cancel the interactions altogether. Instead we can observe both attractive and repulsive interactions depending on their relative orientations. With increasing number of domains per inclusion, the range and magnitude of the effective interactions decrease in a similar fashion to those of electrostatic multipoles. Finally, clusters formed by multiple-domain inclusions can result in an effective affinity patterning due to the anisotropic character of the Casimir interactions between the building blocks.
arXiv comment9 figures
References in corpus (20)
- A nonequilibrium equality for free energy differences
- A Materials Perspective on Casimir and van der Waals Interactions
- Critical Casimir effect in classical binary liquid mixtures
- Casimir forces in binary liquid mixtures
- Critical Casimir forces in cellular membranes
- Tunability of Critical Casimir Interactions by Boundary Conditions
- Fluctuation-Induced Interactions between Rods on Membranes and Interfaces
- Fluctuation-induced forces between inclusions in a fluid membrane under tension
- Fluctuations of Fluctuation-Induced "Casimir" Forces
- Critical Casimir Forces and Colloidal Phase Transitions in a Near-Critical Solvent : A Simple Model Reveals a Rich Phase Diagram
- Normal and lateral critical Casimir forces between colloids and patterned substrates
- Fluctuations of the Casimir-like force between two membrane inclusions
- Effective field theory approach to Casimir interactions on soft matter surfaces
- Critical Casimir forces between homogeneous and chemically striped surfaces
- Conformal Field Theory of Critical Casimir Interactions in 2D
- Forces exerted by a correlated fluid on embedded inclusions
- Anisotropies in thermal Casimir interactions: ellipsoidal colloids trapped at a fluid interface
- Membrane stress tensor in the presence of lipid density and composition inhomogeneities
- Point-like inclusion interactions in tubular membranes
- Lateral critical Casimir force in 2D Ising strip with inhomogeneous walls