Dynamical trapping of particles as a challenge to statistical thermodynamics

A model of a dynamical trap is considered. This type of trapping appears as a result of reorganization of the trap surroundings (relaxation to a new l ocal configuration) upon particle arrival. This can dynamically break exist ing overlaps of localised particle orbitals, i.e. to interrupt the return p ath for the particle. Thus, e.g., trapping at even a local potential maximu m appears. The effect has nothing to do with, e.g., renormalization of part icle energies owing to the bath. Scaling arguments are also presented to ma ke the used kinetic treatment unquestionable.