18-21 September 2019
Kraków
Europe/Warsaw timezone

Diffusion in a system with a membrane that can change the state of the particles passing through it.

Not scheduled
15m
Kraków

Kraków

Poster Session 8

Speaker

Tadeusz Kosztołowicz (Institute of Physics, Jan Kochanowski University in Kielce)

Description

Using a new method, time evolution of the probability distribution of the number of particle passes through a thin membrane will be derived. As far as we know, a distribution of the number of particle's passes between selected points of the system (membrane surfaces) have not been determined yet.
We assume that a passage of a particle through the membrane may cause a change in particle's state or vanishing (absorption) of the particle. These processes will be included in the model of particle diffusion in a system with a thin, partially permeable membrane that separates different media in which normal diffusion, subdiffusion or slow subdiffusion can occur [1]. The probability distributions (Green's functions) and other functions characterizing the process, such as the first passage time distributions, will be shown.

[1] T. Kosztołowicz, Phys. Rev. E 99, 022127 (2019)

Primary author

Tadeusz Kosztołowicz (Institute of Physics, Jan Kochanowski University in Kielce)

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