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A Soluble Phase Field Model [PDF]
Physical Review E, 1997 The kinetics of an initially undercooled solid-liquid melt is studied by means of a generalized Phase Field model, which describes the dynamics of an ordering non-conserved field phi (e.g.
A. Coniglio +25 more
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Phase-field Crystals with Elastic Interactions [PDF]
Physical Review Letters, 2006 We report on a novel extension of the recent phase-field crystal (PFC) method introduced in [Elder et al., Phys. Rev. Lett., Vol. 88, 245701:1-4 (2002)], which incorporates elastic interactions as well as crystal plasticity and diffusive dynamics. In our
Mikko Haataja +3 more
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Numerical Approximations of Diblock Copolymer Model Using a Modified Leapfrog Time-Marching Scheme
Computation, 2023 An efficient modified leapfrog time-marching scheme for the diblock copolymer model is investigated in this paper. The proposed scheme offers three main advantages.
Lizhen Chen +3 more
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Lattice Boltzmann Solver for Multiphase Flows: Application to High Weber and Reynolds Numbers
Entropy, 2021 The lattice Boltzmann method, now widely used for a variety of applications, has also been extended to model multiphase flows through different formulations. While already applied to many different configurations in low Weber and Reynolds number regimes,
Seyed Ali Hosseini +2 more
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Dislocation Assisted Phase Separation: A Phase Field Study [PDF]
SSRN Electronic Journal, 2021 Defects play a key role in deciding the mechanisms and kinetics of phase transformations. In this paper, we show how dislocations influence phase separation in alloys with miscibility gap. Specifically, depending on the ratio of pipe mobility to bulk mobility, it is seen that even in a system with nominal compositions outside the spinodal limit ...
Arjun Varma R． +2 more
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Metals, 2022 The classic finite difference method (FDM) has been successfully adopted in the simulation of dendritic solidification, which is based on phase-field theory. Nevertheless, special strategies of boundary integral and projection are required for applying a
Jiangping Xu +5 more
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Sharp Phase Field Method [PDF]
Physical Review Letters, 2018 Phase field modelling offers an extremely general framework to predict microstructural evolutions in complex systems. However, its computational implementation requires a discretisation scheme with a grid spacing small enough to preserve the continuous character of the theory. We present here a new formulation, which is intrinsically discrete, in which
Finel, Alphonse +5 more
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Numerical Study on Dynamics of Blood Cell Migration and Deformation in Atherosclerotic Vessels
Mathematics, 2022 A phase field model is used to study the effect of atherosclerotic plaque on hemodynamics. The migration of cells in blood flows is described by a set of multiple phase field equations, which incorporate elastic energies and the interacting effects of ...
Yihao Wu +3 more
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Corners in phase-field theory [PDF]
Physical Review E, 2021 Phase-field models for strongly anisotropic surface energy need to be regularized to remove the ill posedness of the dynamic equations. Regularization introduces a new length scale, the corner size, also called the bending length. For large corner size, with respect to interface thickness, the phase-field method is known to converge asymptotically ...
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Path-dependent Vortex Switching in Ferroelectric Nanoplate Junctions Toward a Memory Device Concept
Frontiers in Physics, 2022 Ferroelectric vortex has attracted much attention as a promising candidate for memories with high density and high stability. It is a crucial problem to precisely manipulate the vortex chirality in order to utilize it to store information.
Weiming Xiong +6 more
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