Curvature and solidification

Particle trapping at an advancing solidification front with interfacial-curvature effects

We predict the maximum solidification rate, or critical velocity, Vc at which an insoluble particle suspended in a melt is pushed ahead of an advancing solidification front by intermolecular forces. At higher solidification rates the particle is incorporated within the solid. The net intermolecular force pushing the particle and the viscous resistance opposing it are both significantly influenc...

Berry curvature and energy bands of graphene

In this paper energy bands and Berry curvature of graphene was studied. Desired Hamiltonian regarding the next-nearest neighbors obtained by tight binding model. By using the second quantization approach, the transformation matrix is calculated and the Hamiltonian of system is diagonalized. With this Hamiltonian, the band structure and wave function can be calculated. By using calculated wave f...

Landsberg Curvature, S-curvature and Riemann Curvature

Solidification fronts and magmatic evolution

From (3. F. Becker's and L. V. Pirsson's early enunciations linking the dynamics of magma chambers to the rock records of sills and plutons to this day, two features stand at the centre of nearly every magmatic process: solidification fronts and phenocrysts. The structure and behaviour of the envisioned solidification front, however, has been mostly that akin to non-silicate, non-multiply-satur...

Berry curvature and energy bands of graphene

In this paper energy bands and Berry curvature of graphene was studied. Desired Hamiltonian regarding the next-nearest neighbors obtained by tight binding model. By using the second quantization approach, the transformation matrix is calculated and the Hamiltonian of system is diagonalized. With this Hamiltonian, the band structure and wave function can be calculated. By using calculated wave f...