Concentration Fluctuation in a Two-Component Fluid Membrane Surrounded with Three-Dimensional Fluids

Drag Coefficient of a Raftlike Domain Embedded in a Fluid Membrane Being a Near-Critical Binary Mixture

“…Some researchers claim that the biomembrane is a 2D near-critical fluid mixture. [14][15][16] The influence of the near-criticality on the relaxation of the concentration fluctuation has been studied theoretically [17][18][19][20] and experimentally. 21) The author was recently involved in calculating the drag coefficient of a rigid spherical particle in a 3D near-critical binary fluid mixture, which is not very close to the critical point and is in the homogeneous phase far from the particle.…”

Hydrodynamic Effect on Concentration Fluctuation in a Two-Component Fluid Membrane with a Spherical Shape

“…[10][11][12] It is to be noted that À ð2Þ 0 is found to vanish. From the calculation in the preceding subsection, we find…”

“…8,9) We expect that this is the case with the fluid membrane, as in the previous works. [10][11][12]19) …”

“…8,9) Its effect, i.e., a hydrodynamic effect, on the concentration fluctuation in the homogeneous phase was studied theoretically for a flat two-component membrane, on each side of which the threedimensional (3D) fluid occupies the semi-infinite space. 10) Cases where each of the fluids is bounded by a hard wall, parallel to the flat membrane, were also studied. [10][11][12] It was assumed in these studies that the membrane stretches infinitely without shape fluctuation 13,14) and that it is an open system having a chemical potential.…”

“…10) Cases where each of the fluids is bounded by a hard wall, parallel to the flat membrane, were also studied. [10][11][12] It was assumed in these studies that the membrane stretches infinitely without shape fluctuation 13,14) and that it is an open system having a chemical potential. The size effect originating from the walls was pointed out for the flat membrane.…”