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pro vyhledávání: '"cahn–hilliard model"'
The formal sharp-interface asymptotics in a degenerate Cahn-Hilliard model for viscoelastic phase separation with cross-diffusive coupling to a bulk stress variable are shown to lead to non-local lower-order counterparts of the classical surface diff
Externí odkaz:
http://arxiv.org/abs/2412.06762
Autor:
Wang, Boyi
In this paper, a fully discrete finite element numerical scheme with a stabilizer for the cross-diffusion Cahn--Hilliard model arising in modeling the pre-pattern in lymphangiogenesis is proposed and analysed. The discrete energy dissipation stabilit
Externí odkaz:
http://arxiv.org/abs/2411.06488
One of main obstacles in verifying the energy dissipation laws of implicit-explicit Runge-Kutta (IERK) methods for phase field equations is to establish the uniform boundedness of stage solutions without the global Lipschitz continuity assumption of
Externí odkaz:
http://arxiv.org/abs/2412.07321
The present work is the continuation of our paper [1]. It is devoted to the modeling of the interplay of equilibrium and non-equilibrium phase transitions. The modeling of equilibrium phase transition is based on the modified Cahn-Hilliard equation.
Externí odkaz:
http://arxiv.org/abs/2408.13633
Autor:
Rana, Navdeep, Golestanian, Ramin
We present a computational study of the pairwise interactions between defects in the recently introduced non-reciprocal Cahn-Hilliard model. The evolution of a defect pair exhibits dependence upon their corresponding topological charges, initial sepa
Externí odkaz:
http://arxiv.org/abs/2407.16547
In this paper, we innovatively develop uniform/variable-time-step weighted and shifted BDF2 (WSBDF2) methods for the anisotropic Cahn-Hilliard (CH) model, combining the scalar auxiliary variable (SAV) approach with two types of stabilized techniques.
Externí odkaz:
http://arxiv.org/abs/2404.13259
Autor:
Saha, Suropriya
We establish the criterion for the phase coexistence in a mixture of nonreciprocally interacting scalar densities. For an arbitrary number of components the active pressure exists for a specific class of interactions, and when the free energy receive
Externí odkaz:
http://arxiv.org/abs/2402.10057
Publikováno v:
Phys. Rev. E 109, 024132 (2024)
During the intercalation of lithium in layered host materials such as graphite, lithium atoms can move within the plane between two neighboring graphene sheets, but cannot cross the sheets. Repulsive interactions between atoms in different layers lea
Externí odkaz:
http://arxiv.org/abs/2401.13108
Autor:
Eikelder, M. ten, Schillinger, D.
The prototypical diffuse-interface model that describes multi-component flows is the Navier-Stokes Cahn-Hilliard model (NSCH). Over the last decades many NSCH models have appeared that claim to describe the same physical phenomena, yet are distinct f
Externí odkaz:
http://arxiv.org/abs/2311.09966
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