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S. Komura and K. Seki
[J. Phys. II France, Vol.5, pp.5-9, 1995]
The diffusion constant of a polymer chain moving in a fluid membrane is calculated within a two-dimensional hydrodynamical model coupled to an ambient fluid through the momentum dissipation mechanism. A membrane is not an isolated fluid but it is surrounded by adjacent water. Hence the total momentum of two-dimensional fluid membrane is not a conserved quantity and it leaks into the surrounding water due to the coupling between the membrane and water. The obtained diffusion constant depends on the polymer size logarithmically and algebraically for the weak and strong coupling limits, respectively.