1 6 M ay 2 00 4 Configurational Continuum modelling of crys - talline surface evolution

ar X iv : m at h / 05 06 00 1 v 1 [ m at h . PR ] 3 1 M ay 2 00 5 HYDRODYNAMIC SCALING LIMIT OF CONTINUUM SOLID - ON - SOLID MODEL

A fourth order nonlinear evolution equation is derived from a microscopic model for surface diffusion, namely, the continuum solid-on-solid model. We use the method developed by Varadhan for the computation of the hydrodynamic scaling limit of nongradient models. What distinguishes our model from other models discussed so far is the presence of two conservation laws for the dynamics in a nonper...

On the Investigation of Sol-Gel TiO2 Nanostructured Films Applied on Windshields Pre-Coated with SiO2 Layer by Dip-Coating Method

TiO2-SiO2 photocatalytic nanostructure film on windshield for self-cleaning purposes was prepared via sol–gel dip-coating method. TiO2 films were prepared on automotive glass pre-coated with a SiO2 layer by a dip-coating method followed by annealing at 500 °C for 30min. The films were characterized using X-ray diffraction XRD and scanning electron microscopy SEM, FE-SEM techniques. The TiO2-SiO...

ep - l at / 0 10 50 05 v 1 5 M ay 2 00 1 A No - Go Theorem For The Compatibility Between Involution Of First Order Differential on Lattice And Continuum Limit

We prove that differentials of lattice coordinate functions x must be algebraic independent to their involutive conjugate, else no correct continuum limit exists. PACS: 02.40.Gh, 11.15.Ha

ar X iv : h ep - p h / 04 02 19 0 v 2 2 6 M ay 2 00 4 1 Pentaquarks in the 10 F - and 10 F - plets

ar X iv : m at h / 05 02 57 3 v 6 [ m at h . A G ] 1 4 M ay 2 00 6 ON DEFORMATIONS OF FLAG

Any (global) deformation of a flag manifold F with b2 = 1 is biholomorphic to F .