title: ÐÐ¾Ð»ÑÑÐµÐ½Ð¸Ðµ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð¾Ð² Ð² Ð±ÐµÑÑÑÐ¾Ð»ÐºÐ½Ð¾Ð²Ð¸ÑÐµÐ»ÑÐ½ÑÑ ÑÐ´Ð°ÑÐ½ÑÑ Ð²Ð¾Ð»Ð½Ð°Ñ Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐ¼Ð¸ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ°Ð¼Ð¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Obtainig the equation of state of electrons in collisionless shock with different parametrs
Creators: name: Ð§Ð¸ÑÐºÐ¾Ð², ÐÐ¼Ð¸ÑÑÐ¸Ð¹
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: Ð±ÐµÑÑÑÐ¾Ð»ÐºÐ½Ð¾Ð²Ð¸ÑÐµÐ»ÑÐ½ÑÐµ ÑÐ´Ð°ÑÐ½ÑÐµ Ð²Ð¾Ð»Ð½Ñ
Ð½Ð°Ð³ÑÐµÐ² ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð¾Ð²
Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ðµ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑ ÑÐ°ÑÑÐ¸Ñ
collisionless shocks
electron heating
particle temperature ratio

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description: The subject of the graduate qualification work is âObtainig the equation of state of electrons in collisionless shock with different parametrsâ. This thesis investigates the issue of establishing the temperature ratio / between ions and electrons behind the front of collisionless shock waves. An analytical heating model is considered in the framework of a two-fluid consideration with different effective adiabatic indices of protons and electrons depending on the Mach number of the shock wave. Were investigate formulas for the degree of compression and the ratio of temperatures of electrons and ions behind the shock wave front were obtained for the first time. Was shown that near the front of collisionless shock waves, the equation of state of electrons has a power-law form. Was obtained the dependence on the Mach number of the effective adiabatic index of electrons near the front of shock waves. The resulting equation of state of electrons can later be used for simulations using hybrid codes, which is of great practical importance in the study of shock waves.