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On the Issue of Radiation-Induced Instability in Binary Solid Solutions
Author(s) -
Santosh Dubey,
Sudhir Joshi,
B.S. Tewari
Publication year - 2014
Publication title -
conference papers in science
Language(s) - English
Resource type - Journals
eISSN - 2356-6108
pISSN - 2356-6094
DOI - 10.1155/2014/849241
Subject(s) - instability , reaction–diffusion system , eigenvalues and eigenvectors , solid solution , irradiation , binary number , nonlinear system , materials science , dumbbell , lattice (music) , mathematics , thermodynamics , mathematical analysis , physics , mechanics , quantum mechanics , medicine , arithmetic , acoustics , metallurgy , physical therapy
The stability of a binary solid solution under irradiation has been studied. This has been done by performing linear stability analysis of a set of nonlinear reaction-diffusion equations under uniform irradiation. Owing to the complexity of the resulting system of eigenvalue equations, a numerical solution has been attempted to calculate the dispersion relations. The set of reaction-diffusion equations represent the coupled dynamics of vacancies, dumbbell-type interstitials, and lattice atoms. For a miscible system (Cu-Au) under uniform irradiation, the initiation and growth of the instability have been studied as a function of various control parameters.

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