Imperial College London

Professor Grigorios A. Pavliotis

Faculty of Natural SciencesDepartment of Mathematics

Professor of Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8564g.pavliotis Website

 
 
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Location

 

736aHuxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Hairer:2008:10.1007/s10955-008-9493-3,
author = {Hairer, M and Pavliotis, GA},
doi = {10.1007/s10955-008-9493-3},
journal = {Journal of Statistical Physics},
pages = {175--202},
title = {From ballistic to diffusive behavior in periodic potentials},
url = {http://dx.doi.org/10.1007/s10955-008-9493-3},
volume = {131},
year = {2008}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - The long-time/large-scale, small-friction asymptotic for the one dimensional Langevin equation with a periodic potential is studied in this paper. It is shown that the Freidlin-Wentzell and central limit theorem (homogenization) limits commute. We prove that, in the combined small friction, long-time/large-scale limit the particle position converges weakly to a Brownian motion with a singular diffusion coefficient which we compute explicitly. We show that the same result is valid for a whole one parameter family of space/time rescalings. The proofs of our main results are based on some novel estimates on the resolvent of a hypoelliptic operator.
AU - Hairer,M
AU - Pavliotis,GA
DO - 10.1007/s10955-008-9493-3
EP - 202
PY - 2008///
SN - 1572-9613
SP - 175
TI - From ballistic to diffusive behavior in periodic potentials
T2 - Journal of Statistical Physics
UR - http://dx.doi.org/10.1007/s10955-008-9493-3
UR - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000253522400009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR - http://hdl.handle.net/10044/1/66625
VL - 131
ER -