A procedure suggested by Vvedensky for obtaining continuum equations as the coarse-grained limit of discrete models is applied to the restricted solid-on-solid model with both adsorption and desorption. Using an expansion of the master equation, discrete Langevin equations are derived; these agree quantitatively with direct simulation of the model. From these, a continuum differential equation ...

A stochastic process describing the behavior of the solid-on-solid interface in a strip of width L is studied. The invariant and reversible measure for the process is the Gibbs state with Hamiltonian H = Z [q(x)tt(x + 1 )[. Under "free" boundary conditions, we show that the height of the moving interface at any site converges, when suitable renormalized, to Brownian motion with a diffusion coef...

A mathematical model for free-form solid modelling was presented in previous published works. The key aspects of this model are the decomposition of the volume occupied by the solid into non-disjoint cells, and the representation of the solid as an algebraic sum of these cells. Here we apply this scheme to represent CSG solids built by combining free-form solids in boolean operations. As a proo...

In this research, the chemical recycling of terephthalic acid from PET waste by using nano Fe3O4@Py-APTS as solid support was reported. The performance of organically modified nano magnetic was examined in detail and the results were compared with unsupported reactions as the model. By using the solid support, the required time for complete glycolysis, consumption of solvent and catalyst, decre...

The solid-on-solid model is a of height functions, introduced to study the interface separating $+$ and $-$ phase in Ising model. planar thus corresponds three-dimensional Delocalisation this at high temperature zero slope was first derived by Fr\"ohlich Spencer, parallel proving Berezinskii-Kosterlitz-Thouless transition. main result article consists simple, alternative proof delocalisation In...

numerical modeling of machining processes is of significance in the parametric analysis and optimization of their performance. in this paper, a finite element-based model of abrasive waterjet (awj) cutting of a ductile material is presented with the help of an explicit, nonlinear finite element method. in this model, both solid-solid interaction and fluid-structure interaction are considered. t...

an internal ballistics model has been developed for performance prediction of a solid propellant rocket motor. inthis model a 1-d unsteady euler equation with source terms is considered. the flow is assumed as a non-reacting mixture of perfect gases with space and time varying thermo physical properties. the governing equations in the combustion chamber are solved numerically by using the stege...