Diffusion within a sphere; a non-Gaussian statistical model for particle displacements in a dense colloidal suspension

R.J.A. Tough and C. van den Broeck

Physica A: Statistical Mechanics and its Applications, 1989, vol. 157, issue 2, 769-796

Abstract: The diffusive motion of a particle within a spherical volume is analysed in detail, to provide insight into the recently observed non-Gaussian statistical properties of the displacements of particles in a dense colloidal suspension. The intermediate scattering function is evaluated and used as a generating function to provide information about the statistical properties of particle's displacement at all times. Representative numerical results are also presented. The analogous one- and two-dimensional calculations for a particle diffusing on a linear interval and a circular disc are also presented, both for completeness and (in the 1-d case) to demonstrate the principles of the calculation, unburdened by excessive algebraic detail.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:157:y:1989:i:2:p:769-796

DOI: 10.1016/0378-4371(89)90066-6

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