Advective-diffusive motion on large scales from small-scale dynamics with an internal symmetry
Number of Authors: 2
2016 (English)In: Physical Review E, ISSN 2470-0045, Vol. 93, no 6, 062147Article in journal (Refereed) Published
We consider coupled diffusions in n-dimensional space and on a compact manifold and the resulting effective advective-diffusive motion on large scales in space. The effective drift (advection) and effective diffusion are determined as a solvability conditions in a multiscale analysis. As an example, we consider coupled diffusions in three-dimensional space and on the group manifold SO(3) of proper rotations, generalizing results obtained by H. Brenner [J. Colloid Interface Sci. 80, 548 (1981)]. We show in detail how the analysis can be conveniently carried out using local charts and invariance arguments. As a further example, we consider coupled diffusions in two-dimensional complex space and on the group manifold SU(2). We show that although the local operators may be the same as for SO(3), due to the global nature of the solvability conditions the resulting diffusion will differ and generally be more isotropic.
Place, publisher, year, edition, pages
2016. Vol. 93, no 6, 062147
Physical Sciences Mathematics
IdentifiersURN: urn:nbn:se:su:diva-132326DOI: 10.1103/PhysRevE.93.062147ISI: 000378875200005OAI: oai:DiVA.org:su-132326DiVA: diva2:951639