Abstract. Motion by mean curvature is a problem arising in multi-phase thermomechanics and pattern formation. The article presents a numerical comparison of two approaches to the dynamics of closed curves, namely sharp-interface description leading to a degenerate-diffusion equation of slow and fast diffusion types related to anisotropic curve shortening flow, and a diffusive-interface descript...

This study presents, motivates, and illustrates the use of a computational laboratory (CL) for the investigation of evolutionary trade network formation among strategically interacting buyers, sellers, and dealers. The CL, referred to as the Trade Network Game Laboratory (TNG Lab), is targeted for the Microsoft Windows desktop. The TNG Lab is both modular and extensible and has a clear easily o...

The spontaneous formation of a thread-like pattern with negatively charged lipids on an oil/water interface is reported. An analysis of the time-dependent change at the interface observed by fluorescence microscopy revealed that the thread-like pattern is generated through a two-step mechanism. First, inverted lipid micelles in the bulk-oil phase gradually diffuse onto the oil/water interface. ...

Many toxins assemble into oligomers on the surface of cells. Local chemical cues signal and trigger critical rearrangements of the oligomer, inducing the formation of a membrane-fused or channel state. Bacillus anthracis secretes two virulence factors: a tripartite toxin and a poly-γ-d-glutamic acid capsule (γ-DPGA). The toxin's channel-forming component, protective antigen (PA), oligomerizes t...

In hybrid carbon fiber reinforced polymer (CFRP)/Ti machining, the bi-material interface is the weakest region vulnerable to severe damage formation when the tool cutting from one phase to another phase and vice versa. The interface delamination as well as the composite-phase damage is the most serious failure dominating the bi-material machining. In this paper, an original finite element (FE) ...

An accurate prediction of reaction kinetics of silicon nitridation is of great importance in designing procedure of material production and controlling of reaction. The main purpose of the present study is to investigate the effect of temperature on the kinetics of reaction bonded silicon nitride (RBSN) formation. To achieve this, nitrogen diffusion in the silicon nitride layer is considered as...

in this research, fabrication of an in-situ composite via aluminothermic combustion synthesis in al–v2o5 system has been investigated. for this purpose, the mixed powders of al and v2o5 with molar ratio of 28 to 3 were ball milled and then compressed. differential thermal analysis was used to evaluate the temperatures of phase transitions. using the peak temperature of the reactions, the sample...

The dichotomy between two approaches to interface motion is illustrated in the context of two-dimensional crystal growth. Analyzing singularity formation based on the curvature of the interface predicts a continuous divergence of curvature in contrast to the discrete loss of orientations predicted when the evolution is described by an equation for the two-vector of the interface. We prove that ...