The dynamics of an axisymmetric liquid bridge of a fluid of density ρ, viscosity μ and surface tension σ held between two co-axial disks of equal radius e is studied when one disk is slowly moved with a velocity U(t). The analysis is performed using a one-dimensional model for thin bridges. We consider attached boundary conditions (the contact line is fixed to the boundary of the disk), neglect...

Based on the one-dimensional Fokker-Planck equation in an arbitrary free energy landscape including a general inhomogeneous diffusivity profile, we analytically calculate the mean shape of transition paths and first-passage paths, where the shape of a path is defined as the kinetic profile in the plane spanned by the mean time and the position. The transition path ensemble is the collection of ...

We propose an overlapping generations model with three social classes to investigate the effects of higher education on evolution inequality. Initially, no class invests in education, and inequality is driven by wealth accumulation/bequests. Once rich surpass a certain income threshold, they invest their children's incomes start grow faster. Over time, middle and, potentially, poor follow suit....

The task of complex scene semantic segmentation is to classify and label the image pixel by pixel. For information in autonomous driving scenes, its characteristics such as many kinds targets various changes make more difficult, making FCN-based networks unable restore well. In contrast, encoder–decoder network structure represented SegNet UNet uses jump connections other methods information. S...