Drastic structure changes in pre-damaged GaAs crystals irradiated with swift heavy ions

Mathematical modelling of radiation defect formation processes in the materials irradiated with protons and alpha particles

“…For protons and alpha particles the approximating function dependence on penetration depth, is presented in the following form [13]:…”

“…Without belittling widely known numerical methods and models, apparently, one may say, at all that an undoubted advantage in comparison with them analytical methods possess even if with their help it is possible to describe any phenomenon only approximately. The analytical calculation method offered by us called cascade and probabilistic (CP) [13,14] is developed by us in the course of long work in the field of elementary particles physics, physics of space beams, radiation physics of metals and positron physics and also on the basis on the analysis and these researches generalization. Its correctness is checked on a large number on specific objectives from nuclear physics various fields and physics of a solid body [13][14][15].…”

“…The analytical calculation method offered by us called cascade and probabilistic (CP) [13,14] is developed by us in the course of long work in the field of elementary particles physics, physics of space beams, radiation physics of metals and positron physics and also on the basis on the analysis and these researches generalization. Its correctness is checked on a large number on specific objectives from nuclear physics various fields and physics of a solid body [13][14][15]. The essence of this method consists in receiving and further usage the cascade and probabilistic functions.…”

Optimization calculation algorithms on cascade and probabilistic functions and radiation defects concentration at the ionic radiation

“…Earlier in most cases at concrete calculations the elementary cascade and probabilistic function (CPF) was generally used, it isn't always justified as the run of interaction depends on energy [9,10]. It is necessary to investigate the received CPF behavior taking into account energy losses for ions, prove properties which they have to possess both with physical, and with mathematical points of view, International Journal of Mathematics and Physics 10, №1, 88 (2019) develop calculations algorithms and make CPF calculations depending on interactions number and particles penetration depth, spectrums of primary beaten-out atoms and radiation defects concentration.…”

“…Eventually, everything is defined by a problem specifics and the researcher ability to apply this or that method to the specific objective solution. The cascade and probabilistic method is one of options in theoretical methods numerous calculation for the spatial and power distributions of the falling and secondary particles in the environment [9][10][11]. From this point of view it's usage in scientific research is necessary.…”