Surface-active molecules supplied from a particle fixed at the water surface create a spatial gradient of the molecule concentration, resulting in Marangoni convection. Convective flow transports the molecules far from the particle, enhancing diffusion. We analytically derive the effective diffusion coefficient associated with the Marangoni convection rolls. The resulting estimated effective di...

General description of the model. We consider the diffusion of N particles in a cell, consisting of the cytosol, and the membrane. We assume the cell is a sphere of radius R. There are four different kinds of events which change the configuration of particles in the cell. • Spontaneous membrane association. A particle in the cytosol will move to a random location on the membrane at a rate of ko...