Generation of long range and short range potentials

The general particle transfer (GPT) potential generates not only the Yukawa-type potential but also the 1⁄r^n-type potential in the hadron system, where the mass dependence of the transferred particle is clarified. The GPT potential from the atom-molecular system to the quark-gluon system was transversally studied, where the pico-meter physics could be highlighted. It was found that the long range three-body Efimov potential is connected with the short range three-body force potential.

Model reduction for Smoluchowski equations with particle transfer

In this paper we consider the problem of modelling a system of aggregating particles, that are being transported with stationary velocities dependent on masses of the particles in one-dimensional case. A numerical method based on the ideas of POD (Proper Orthogonal Decomposition) is constructed, and its capacity to speed up the solution up to 40 times is demonstrated.