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Naji, M. |
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Motta, Antonella |
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Aletan, Dirar |
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Mohamed, Tarek |
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Ertürk, Emre |
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Taccardi, Nicola |
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Kononenko, Denys |
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Petrov, R. H. | Madrid |
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Alshaaer, Mazen | Brussels |
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Bih, L. |
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Casati, R. |
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Muller, Hermance |
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Kočí, Jan | Prague |
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Šuljagić, Marija |
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Kalteremidou, Kalliopi-Artemi | Brussels |
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Azam, Siraj |
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Ospanova, Alyiya |
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Blanpain, Bart |
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Ali, M. A. |
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Popa, V. |
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Rančić, M. |
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Ollier, Nadège |
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Azevedo, Nuno Monteiro |
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Landes, Michael |
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Rignanese, Gian-Marco |
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Zapolsky, Helena
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Topics
Publications (10/10 displayed)
- 2024Atomistic Modelling of η -Fe2C Formation During Low-Temperature Tempering of Martensitic Carbon Steel
- 2021Size-Dependent Solute Segregation at Symmetric Tilt Grain Boundaries in α-Fe: A Quasiparticle Approach Studycitations
- 2020Nanostructure in Fe0.65Cr0.35 close to the upper limit of the miscibility gap ; Contents lists available at ScienceDirectcitations
- 2019Morphological instability of iron-rich precipitates in Cu Fe Co alloyscitations
- 2018Carbon diffusivity and kinetics of spinodal decomposition of martensite in a model Fe-Ni-C alloycitations
- 2017Effect of interstitial carbon distribution and nickel substitution on the tetragonality of martensite: A first-principles studycitations
- 2011Numerical approximation of the Cahn−Hilliard equation with memory effects in the dynamics of phase separation
- 2011Atomic-scale modeling of nanostructure formation in Fe–Ga alloys with giant magnetostriction: Cascade ordering and decompositioncitations
- 2010Kinetics of cubic to tetragonal transformation in Ni-V-X alloys.citations
- 2008Coarsening Kinetic of Aluminium-Scandium and Aluminium-Zirconium-Scandium Precipitates
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article
Numerical approximation of the Cahn−Hilliard equation with memory effects in the dynamics of phase separation
Abstract
We consider the modifified Cahn-Hilliard equation for phase separation suggested to account for spinodal decomposition in deeply supercooled binary alloy systems or glasses. This equation contains, as additional term, the second-order time derivative of the concentration multiplied by a positive coefficient Tau_d (time for relaxation). We consider a numerical approximation scheme based on Fourier spectral method and perform numerical analysis of the scheme. We present results of numerical simulations for three spatial dimensions, and examine the stability and convergence of the scheme.