The inherent inconsistency in identifying the phase field crystal Theory with material mass and, simultaneously, distortion is discussed. In its current implementation, elastic relaxation occurs on a diffusive time scale through dissipative permeation mode. very same that included solid elasticity drives motion, resulting non physical of crystal. We present two alternative theories to remedy th...

Phase-field models have become popular in recent years to describe a host of free-boundary problems in various areas of research. The key point of the phase-field approach is that surfaces and interfaces are implicitly described by continuous scalar fields that take constant values in the bulk phases and vary continuously but steeply across a diffuse front. In the present contribution, a distin...

in this work, a new, simple and fast method for the solid phase extraction-spectrophotometric determination of phosphate using cetyltrimethyl ammonium bromide immobilized on alumina-coated magnetite nanoparticles (ctab@acmnps) has been developed. the determination of phosphate is based on the molybdenum blue method which was monitored at λmax of 810 nm. mnps and acmnps characterized by sem, vsm...

this study was based on the hypothesis that “ecotourism is an important instrument in sustainable rural development and ecologically-based landscape planning approaches which take the objectives of socio-economic development and nature conservation have an effective role in this issue”. for this purpose, the necessity of ecologically-based landscape planning approaches in the planning and imple...

Level Set and Phase Field methods are well-known interface-capturing techniques for approximation of moving interfaces. In the first part of this project, a recently developed sharp-interface phase-field method [1] is implemented in Matlab and used to implicitly capture normal interface motion and interface advection by an external velocity field. The interface evolution equation is solved nume...