A drop falling onto a fluid-fluid interface may not merge with it at once but may undergo a so-called partial coalescence cascade. Experimental observations of this phenomenon have revealed fascinating features of the process for Newtonian as well as polymeric fluids. In this paper, we describe numerical simulations of partial coalescence based on a phase-field method. Results show that partial...

The expected event rate of lensed gravitational wave sources scales with the merger at redshift $z\geq 1$, where optical depth for lensing is high. It commonly assumed that astrophysical compact objects closely connected star formation rate, which peaks around $z\sim 2$. However, a major source uncertainty delay time between and objects. We explore impact on rate. show as increases, peak gets d...

One of the grand goals of historical biogeography is to understand how and why species' population sizes and distributions change over time. Multiple types of data drawn from disparate fields, combined into a single modelling framework, are necessary to document changes in a species's demography and distribution, and to determine the drivers responsible for change. Yet truly integrated approach...

We consider coalescing fermions on a Riemann Surface and derive generalized determinant formulas, complementing some results of 3].

We study droplet coalescence in a molecular system with a variable viscosity and a colloid-polymer mixture with an ultralow surface tension. When either the viscosity is large or the surface tension is small enough, we observe that the opening of the liquid bridge initially proceeds at a constant speed set by the capillary velocity. In the first system we show that inertial effects become domin...

We demonstrate that scanning tunneling microscope tip-surface crash events can be utilized as an efficient means for the creation of predefined island configurations for diffusion studies. Using this method, islands of varying size can be created and placed in close proximity, increasing the probability of initiating and observing coalescence events. Data obtained from crash initiated events on...

We begin with a proof of the ESF. This is essentially Kingman’s proof (understanding ESF was the main motivation for his introduction of the coalescent). Proof: Let Π be the partition generated by the infinite-alleles model on n sample. We call each set in Π a cluster. Assume there are k clusters. Looking backwards in time, to obtain Π it must be that each cluster undergoes a sequence of coales...

Evolutionists have debated whether population-genetic parameters, such as effective population size and migration rate, differ between males and females. In humans, most analyses of this problem have focused on the Y chromosome and the mitochondrial genome, while the X chromosome has largely been omitted from the discussion. Past studies have compared F(ST) values for the Y chromosome and mitoc...