Study on Titanium Dioxide Nanocrystals with Specific Crystal Facet on Surface for High Performance Photocatalyst and Dye-Sensitized Solar Cells-香川大学学術情報リポジトリ

Keywords Fermionic formulae · Kerov–Kirillov–Reshetikhin bijection · Rigged configuration · Crystal bases of quantum affine Lie algebras · Box-ball systems · Ultradiscrete

In our model we take into account only diffusion and velocity of chemical reaction near the surface of the crystal and suggest applying non-linear reaction-diffusion equation with

Kashiwara and Nakashima [17] described the crystal structure of all classical highest weight crystals B() of highest weight explicitly. No configuration of the form n−1 n.

We formalize and extend this remark in Theorem 7.4 below which shows that the spectral flow of the odd signature operator coupled to a path of flat connections on a manifold

Hence similar calculations of the prepolarization as in Section 5 will give a proof of the existence of crystal bases for KR modules of other quantum affine algebras..

Solutions of this equation can describe the outer or inner free surface of a static meniscus the static liquid bridge free surface between the shaper and the crystal surface

Recently, Zhou and Fan in [8] proved a regularity criterion for another system of partial differential equations modelling nematic liquid crystal flows, which is considered by Sun

In particular this implies a shorter and much more transparent proof of the combinatorial part of the Mullineux conjecture with additional insights (Section 4). We also note that