The Aizenman-Bak model for reacting polymers is considered for spatially inhomogeneous situations in which they diffuse in space with a nondegenerate size-dependent coefficient. Both the break-up and the coalescence of polymers are taken into account with fragmentation and coagulation constant kernels. We demonstrate that the entropy-entropy dissipation method applies directly in this inhomogen...

The optical properties of molecules dissolved in glasses and ligated to proteins are very similar. The technique of three pulse stimulated photon echo peak shift is used to explore these properties. For dilute chromophores in a glass, a model of linear coupling to a harmonic bath combined with temperature-independent inhomogeneous broadening works well from 30 to 300 K. For concentrated chromop...

The goal of this study is to understand inter-droplet cloud absorption in horizontally inhomogeneous clouds. In order to minimize the absorption by cloud drops, a spectral band around 0.94 μm with strong molecular and very weak liquid absorption has been chosen for detailed analysis. The 0.94 micron band has insignificant Rayleigh scattering and a large range of transmission (Figure 1). In othe...

Screening is one of the most important concepts in the study of charged systems. Near a dielectric interface, the ion distribution in a salt solution can be highly nonuniform. Here, we develop a theory that self-consistently treats the inhomogeneous screening effects. At higher concentrations when the bulk Debye screening length is comparable to the Bjerrum length, the double layer structure an...

In order to solve the problem of high costs and low efficiency caused by manual inspection, an automatic inspector for foreign substances in bottles with inhomogeneous structures based on machine vision technology is proposed in this paper. First, we extract the region of interest based on meanshift segmentation and align the images by registration and rectification. Then an adaptive image vari...

Rosenfeld's perturbative method [J. Chem. Phys. 98, 8126 (1993)]] for constructing the Helmholtz energy functional of classical systems is applied to studying inhomogeneous Lennard-Jones fluids, in which the key input-the bulk direct correlation function-is obtained from the first-order mean-spherical approximation (FMSA) [J. Chem. Phys. 118, 4140 (2003)]]. Preserving its high fidelity at the b...