Bulk-mediated diffusion on a planar surface full solution
- We consider the effective surface motion of a particle that intermittently unbinds from a planar surface and performs bulk excursions. Based on a random-walk approach, we derive the diffusion equations for surface and bulk diffusion including the surface-bulk coupling. From these exact dynamic equations, we analytically obtain the propagator of the effective surface motion. This approach allows us to deduce a superdiffusive, Cauchy-type behavior on the surface, together with exact cutoffs limiting the Cauchy form. Moreover, we study the long-time dynamics for the surface motion.
| Author details: | Aleksei V. ChechkinORCiDGND, Irwin M. Zaid, Michael A. Lomholt, Igor M. SokolovORCiDGND, Ralf MetzlerORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevE.86.041101 |
| ISSN: | 1539-3755 |
| Title of parent work (English): | Physical review : E, Statistical, nonlinear and soft matter physics |
| Publisher: | American Physical Society |
| Place of publishing: | College Park |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2012 |
| Publication year: | 2012 |
| Release date: | 2017/03/26 |
| Volume: | 86 |
| Issue: | 4 |
| Number of pages: | 11 |
| Funding institution: | Academy of Finland within FiDiPro scheme |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
