One Particle and Two Particle Distributions in the Liquid-Vapour Interface

Liquid-vapour interface for a simple fluid modelled by the Lennard-Jones potential was treated by the first two mernbers of the Born-Green-Yvon-Bogolyubov hierarchy. The pair of coupled integral equations was solved numerically to get the density profile and the pair correlation function in the inhomogeneous region. It was found that one can get a significant result for the pair correlation function if the monotonous density profile is inserted in the equation determining the pair correlation function. On the other hand, we did not succeed in getting a convergentsolution for the density profile. This means that some further efforts will be necessary to overcome the difficulties connected with the unstable numerical procedures

One Particle and Two Particle Distributions in the Liquid-Vapour Interface

Liquid-vapour interface for a simple fluid modelled by the Lennard-Jones potential was treated by the first two mernbers of the Born-Green-Yvon-Bogolyubov hierarchy. The pair of coupled integral equations was solved numerically to get the density profile and the pair correlation function in the inhomogeneous region. It was found that one can get a significant result for the pair correlation function if the monotonous density profile is inserted in the equation determining the pair correlation function. On the other hand, we did not succeed in getting a convergentsolution for the density profile. This means that some further efforts will be necessary to overcome the difficulties connected with the unstable numerical procedures

Mutational dynamics of short tandem repeats in human genome

The evolutionary dynamics of short tandem repeats of nucleotide sequences of the human genome is studied. It is shown that a model due to which the evolutionary repeat dynamics consists of elongations and shortenings of the repeats, combined with point mutations, is degenerate in the sense that an ambiguity exists regarding the role of point mutations and slippage asymmetry. By introducing a measure of the correlations between the positions of the repeats along the DNA sequences we were able to remove the degeneracy and to show that the slippage events which are the main factor in repeat evolution exhibit more frequent shortenings than elongations