Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Advective-diffusive motion on large scales from small-scale dynamics with an internal symmetry
KTH, School of Computer Science and Communication (CSC). KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Nordita. (Prof. Dr. Erik Aurell's Group)ORCID iD: 0000-0002-4384-8816
KTH, School of Computer Science and Communication (CSC). Departments of Information and Computer Science and Applied Physics, Aalto University, Espoo, Finland..
2016 (English)In: PHYSICAL REVIEW E, Vol. 93, no 062147, 1-15 p.Article in journal (Refereed) Published
Abstract [en]

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 062147, 1-15 p.
Keyword [en]
coupled diffusions in n-dimensional space
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:kth:diva-207037DOI: 10.1103/PhysRevE.93.062147ISI: 000378875200005Scopus ID: 2-s2.0-84977083523OAI: oai:DiVA.org:kth-207037DiVA: diva2:1095383
Note

QC 20170517

Available from: 2017-05-12 Created: 2017-05-12 Last updated: 2017-05-17Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopushttps://journals.aps.org/pre/abstract/10.1103/PhysRevE.93.062147

Search in DiVA

By author/editor
Marino, RaffaeleAurell, Erik
By organisation
School of Computer Science and Communication (CSC)Nordic Institute for Theoretical Physics NORDITA
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar

Altmetric score

Total: 7 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf