Physics – Fluid Dynamics
Scientific paper
2011-03-24
Physics
Fluid Dynamics
Scientific paper
Recent works have shown that non-equilibrium concentration fluctuations arise during free diffusion in simple, three dimensional fluids. In this paper, I extend the theory of non-equilibrium fluctuations to two dimensional systems, and I evaluate the root mean square amplitude of the fluctuations in the presence of an uniform concentration gradient. I find that, in this case, fluctuations are expected to be extremely strong. Experimentally, two-dimensional liquid systems are approximated by freely suspended liquid films; diffusion is studied with I discuss the effect of the drag due to the fluids surrounding the film, that is the main known difference between real films and ideal two-dimensional liquids. In order to check experimentally this theory, I provide an evaluation of the power spectrum of the fluctuations that should arise during the diffusion of a spot with a gaussian profile, that can be directly compared with the results from a fluorescence recovery after photobleaching (FRAP) experiment. I propose that this kind of experiment could provide informations on the physical properties of membranes.
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