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SUMMARY:Rigorous results on first-passage times for surface-mediated diffu
 sion - Denis Grebenkov (École Polytechnique)
DTSTART:20160623T084500Z
DTEND:20160623T093000Z
UID:TALK66552@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>Co-authors: Jean-Francois Rupprecht (National University
   of Singapore\, Singapore)\, Olivier B&eacute\;nichou (CNRS - UPMC\, Fran
 ce)\,  Raphael Voituriez (CNRS - UPMC\, France) <br></span> <br>We present
  an exact calculation of the mean first-passage time to a target on  the s
 urface of a 2D or 3D spherical domain\, for a molecule alternating phases 
 of  surface diffusion on the domain boundary and phases of bulk diffusion.
  The  presented approach is based on an integral equation which can be sol
 ved  analytically. Explicit solutions are provided for normal and biased d
 iffusion in  a general annulus with an arbitrary number of regularly space
 d targets on a  partially reflecting surface. In the framework of this min
 imal model of  surface-mediated reactions\, we show analytically that the 
 mean reaction time can  be minimized as a function of the desorption rate 
 from the surface. As a  consequence\, an intermittent exploration process 
 may enhance search and  reaction\, as compared to pure surface diffusion o
 r pure bulk diffusion. Our  method is applicable to extended targets of ar
 bitrary size (i.e.\, beyond the  narrow escape limit). Higher-order moment
 s and the probability distribution of  the first-passage time can also be 
 derived. <br> <br>Related Links <ul> <li><a target="_blank" rel="nofollow"
 >http://pmc.polytechnique.fr/pagesperso/dg/publi/publi_e.htm</a>  - Webpag
 e with publications&nbsp\;</li></ul>
LOCATION:Seminar Room 1\, Newton Institute
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