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The coalescent is an accumulation of waiting times. We can think of it as standard queuing process where the times are exponentially distributed with rate k(k − 1)/(2 × 2N) [for most elaboration in this chapter I use the Wright-Fisher model as a guide, for the Moran model the rate would be k(k−1)/(2× (2N)2) ]. The coalescent makes no assumptions about the interaction of the intervals, we will a...

The tetraoctylammonium bromide (TOAB)-stabilized gold nanoparticles have been successfully fabricated. After an annealing of the as-synthesized nanoparticles at 300 degrees C for 30 min, the coalescence behavior of gold nanoparticles has been investigated using high-resolution transmission electron microscopy in detail. Two types of coalescence, one being an ordered combination of two or more p...

Several processes involve two immiscible liquid phases with dispersed drops surrounded by a continuous phase. The drops coalesce for joining their mother phase. This phenomenon occurs in many industrial mixing, separation, as well as in environmental processes. This paper is focused on the problem of the coalescence of a single drop at the planar interface of two immiscible liquids. An original...

We consider two models of interacting DNA molecules: First is (four parametric) bubble coalescence model in DNAs (shortly: BCI-DNA). Second (three a condensed molecules (shortly BCC-DNA). To study thermodynamics BCI-DNA and BCC-DNA we use methods statistical physics. Namely, define Hamiltonian each give their translation-invariant Gibbs measures (TIGMs). For the first model, find parameters suc...