St. Petersburg Polytechnic University Journal: Physics and Mathematics Научно-технические ведомости СПбГПУ. Физико-математические науки 2304-9782, 2618-8686, 2405-7223 55 10.18721/JPM.161.155 One-dimensional Fokker-Planck equation with relativistic effects for numerical simulations Одномерное уравнение Фоккера-Планка с релятивистскими эффектами для численного моделирования Khavin Vasiliy havinvasilij@gmail.com Popov Alexei a.popov@mail.ioffe.ru Teplova Natalia natalia.teplova@mail.ioffe.ru Troshin Grigorii paladinbubble@mail.ru Gusakov Evgeniy evgeniy.gusakov@mail.ioffe.ru Ioffe Institute 30 04 2023 16 1.1 331 335

This paper presents considerations on the topic of creating one-dimensional Fokker-Planck equation with relativistic effects. The derivation of two-dimensional relativistic equation and an attempt to average to the one-dimensional  equation are demonstrated. The results are used for numerical simulations of LHCD.

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