Phase separation on surfaces in presence of matter exchange
arXiv:2205.03306 · doi:10.1103/PhysRevE.108.L012801
Abstract
We present a field theory to describe the composition of a surface spontaneously exchanging matter with its bulk environment. By only assuming matter conservation in the system, we show with extensive numerical simulations that, depending on the matter exchange rates, a complex patterned composition distribution emerges in the surface. For one-dimensional systems we show analytically and numerically that coarsening is arrested and as a consequence domains have a characteristic length scale. Our results show that the causes of heterogeneous lipid composition in cellular membranes may be justified in simple physical terms.
Main: 6 pages, 4 figures, Supplementary Material: 3 pages, 3 figures