We consider a gradient interface model on the lattice with interaction potential which is a non-convex perturbation of a convex potential. We show using a one-step multiple scale analysis the strict convexity of the surface tension at high temperature. This is an extension of Funaki and Spohn’s result [10], where the strict convexity of potential was crucial in their proof. AMS 2000 Subject Cla...

We consider a gradient interface model on the lattice with interaction potential which is a non-convex perturbation of a convex potential. We show using a one-step multiple scale analysis the strict convexity of the surface tension at high temperature. This is an extension of Funaki and Spohn’s result [10], where the strict convexity of potential was crucial in their proof. AMS 2000 Subject Cla...

We investigate the liquid-vapor interface of the restricted primitive model for an ionic fluid using a density functional approach. The applied theory includes the electrostatic contribution to the free energy functional arising from the bulk energy equation of state and the mean spherical approximation for a restricted primitive model, as well as the associative contribution, due to the format...

By using the brick wall method we calculate the free energy and the entropy of the scalar field in the rotating black holes. As one approaches the stationary limit surface rather than the event horizon in comoving frame, those become divergent. Only when the field is comoving with the black hole (i.e. Ω0 = ΩH) those become divergent at the event horizon. In the Hartle-Hawking state the leading ...

The atomic structure and charge redistribution of different terminations of BaZrO3 011 surfaces have been studied using density functional simulations. We found that the O-terminated 011 flat surface had the smallest cleavage energy among 011 surfaces, but this value was still twice as large as for the formation of a pair of complimentary 001 surfaces. The density functional calculations allowe...

Abstract. A phase field model for simulating grain growth and thermal grooving in thin films is presented. Orientation dependence of the surface free energy and misorientation dependence of the grain boundary free energy are included in the model. Moreover, the model can treat different mechanisms for groove formation, namely through volume diffusion, surface diffusion, evaporation-condensation...

The surface tension at the free surface of a nematic liquid crystal is computed using the Fowler-Kirkwood-Buff approximation to the interface, and a mean field approximation to the molecular pair distribution function. It is found for a Van der Waals interaction between molecules that : a) the molecules always prefer an orientation in the plane of the surface; b) there is a gap at the nematic-i...

In this paper, the free vibration analysis of sandwich micro beam with piezoelectric layers based on the modified couple stress and surface elasticity theories are investigated. The Hamilton’s principle is employed to derive the sandwich micro beam with piezoelectric based on modified couple stress theory incorporating with Gurtin- Murdoch surface theory. The generalized differential quadrature...