Document Detail

Diffusion-induced oscillations of extended defects.
MedLine Citation:
PMID:  22400867     Owner:  NLM     Status:  In-Data-Review    
From a simple model for the driven motion of a planar interface under the influence of a diffusion field we derive a damped nonlinear oscillator equation for the interface position. Inside an unstable regime, where the damping term is negative, we find limit-cycle solutions, describing an oscillatory propagation of the interface. In the case of a growing solidification front this offers a transparent scenario for the formation of solute bands in binary alloys and, taking into account the Mullins-Sekerka instability, of banded structures.
Alexander L Korzhenevskii; Richard Bausch; Rudi Schmitz
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Publication Detail:
Type:  Journal Article     Date:  2012-01-25
Journal Detail:
Title:  Physical review letters     Volume:  108     ISSN:  1079-7114     ISO Abbreviation:  Phys. Rev. Lett.     Publication Date:  2012 Jan 
Date Detail:
Created Date:  2012-03-09     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0401141     Medline TA:  Phys Rev Lett     Country:  United States    
Other Details:
Languages:  eng     Pagination:  046101     Citation Subset:  IM    
Institute for Problems of Mechanical Engineering, RAS, Bol'shoi prospect V.O., 61, St Petersburg, 199178, Russia.
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