Applied Physics and Mathematics Annotation << Back SPINODAL DECAY MODEL OF ISOTROPIC SOLID SOLUTIONS WITH ELASTIC STRESSES: ANALYSIS OF DISPERSION RELATIONS V.G. LEBEDEV, A.A. LEBEDEVA, V.A. KOPYTOV A thermodynamically consistent non-isothermal model of spinodal decay with elastic stresses is proposed. The model is considered on the example of a model system described by the Ginzburg-Landau energy. On the basis of the Cahn-Hilliard free energy, the entropy functional is written for the model, expanded by the contribution of elastic energy. The model equations are derived from the entropy growth condition during relaxation. For the obtained joint system of equations describing the redistribution of impurity, temperature and elastic deformations in the system, the initial stages of spinodal decay are investigated. It follows from the presented graphs of the dispersion dependence that the instability region will change at different temperatures, which corresponds to the experimental data known to date. The developed approach can be the basis for further development of the model and its verification on real materials, including the extension of this approach to other highly nonequilibrium phenomena associated with quenching and vitrification. Keywords: spinodal decay, Cahn-Hilliard equation, non-equilibrium relaxation. DOI: 10.25791/pfim.05.2023.1275 Pp. 24-35.