Tracer diffusivity in a time- or space-dependent temperature field

Golestanian, R.; Ajdari, A.

doi:10.1209/epl/i2002-00113-x

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Tracer diffusivity in a time- or space-dependent temperature field

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Golestanian, R.
Department of Living Matter Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Golestanian, R., & Ajdari, A. (2002). Tracer diffusivity in a time- or space-dependent temperature field. Europhysics Letters, 59(6), 800-806. doi:10.1209/epl/i2002-00113-x.

Cite as: https://hdl.handle.net/21.11116/0000-0001-AC76-9

Abstract

The conventional assumption that the self-diffusion coefficient of a small tracer can be obtained by a local and instantaneous application of Einstein's relation in a temperature field with spatial and temporal heterogeneity is revisited. It is shown that hydrodynamic fluctuations contribute to the self-diffusion tensor in a universal way, i.e. independent of the size and shape of the tracer. The hydrodynamic contribution is - it reflects knowledge of the global anisotropc in the temperature profile, leading to an anisotropic self-diffusion tensor for a spherical tracer. It is also retarded - it creates memory effects during the diffusion process due to hydrodynamic interactions.