Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2006-08-11
Proc. Natl. Acad. Sci. USA 103 (2006) 15002
Physics
Condensed Matter
Soft Condensed Matter
19 pages, 4 figures
Scientific paper
10.1073/pnas.0606992103
We study protein diffusion in multicomponent lipid membranes close to a rigid substrate separated by a layer of viscous fluid. The large-distance, long-time asymptotics for Brownian motion are calculated using a nonlinear stochastic Navier-Stokes equation including the effect of friction with the substrate. The advective nonlinearity, neglected in previous treatments, gives only a small correction to the renormalized viscosity and diffusion coefficient at room temperature. We find, however, that in realistic multicomponent lipid mixtures, close to a critical point for phase separation, protein diffusion acquires a strong power-law dependence on temperature and the distance to the substrate $H$, making it much more sensitive to cell environment, unlike the logarithmic dependence on $H$ and very small thermal correction away from the critical point.
Nelson David R.
Tserkovnyak Yaroslav
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