EXACT SOLUTION OF THE REACTION-DIFFUSION PROBLEM FOR A PARTICLE GENERATING BAND ON A SURFACE BY RIEMANN-HILBERT MATCHING

Citation
Am. Brodsky et Wp. Reinhardt, EXACT SOLUTION OF THE REACTION-DIFFUSION PROBLEM FOR A PARTICLE GENERATING BAND ON A SURFACE BY RIEMANN-HILBERT MATCHING, Journal of physics. A, mathematical and general, 28(12), 1995, pp. 3453-3467
Citations number
15
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
28
Issue
12
Year of publication
1995
Pages
3453 - 3467
Database
ISI
SICI code
0305-4470(1995)28:12<3453:ESOTRP>2.0.ZU;2-V
Abstract
The existence of a class of exact solutions for diffusion-reaction pro blems is demonstrated for the example of a band. The method may be app lied to any particle source which can be analytically mapped to a band (or a disc) situated on an infinite plane. A simple asymptotic expres sion for the experimentally measurable collector efficiency (current-c urrent response function) has been found.