Simulation of the proton transport in matter

A mathematical model of proton transport in matter is considered. The interaction of protons with the electron subsystem of the medium atoms is modeled in the approximation of the average energy loss during ionization scattering. Nuclear interactions are considered in the model of individual collisions. An algorithm for modeling proton transfer in piecewise-homogeneous media has been developed, combining the continuous deceleration approximation when interacting with electrons with the implicit direct modeling of elastic and inelastic scattering on nuclei. Calculations that demonstrate the effect of nuclear scattering on the distribution of the energy released by protons during scattering are presented.