Master Equation for a Localized Particle Driven by Poisson White Noise

Denysov, Stanislav Ivanovych; Bohopolskyi, V.M.; Shypilov, N.E.

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Title	Master Equation for a Localized Particle Driven by Poisson White Noise
Authors	Denysov, Stanislav Ivanovych Bohopolskyi, V.M. Shypilov, N.E.
ORCID	http://orcid.org/0000-0001-9590-1001
Keywords	наносистеми наносистемы nanosystems стохастичне рівняння стохастическое уравнение stochastic equation
Type	Conference Papers
Date of Issue	2018
URI	http://essuir.sumdu.edu.ua/handle/123456789/67936
Publisher	Sumy State University
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Citation	Bohopolskyi, V.M. Master Equation for a Localized Particle Driven by Poisson White Noise [Текст] / V.M. Bohopolskyi, N.E. Shypilov, S.I. Denisov // Фізика, електроніка, електротехніка: матеріали та програма науково-технічної конференції, м. Суми, 5-9 лютого 2018 р. / Відп. за вип. С.І. Проценко. – Суми: СумДУ, 2018. – С. 27.
Abstract	Fluctuations in nanosystems play an important role in forming their electric, magnetic, thermal and other properties. Usually, due to the central limit theorem of probability theory, these fluctuations obey Gaussian statistics. However, in some cases, e.g., when the system is subjected to Poisson white noise, that is a random sequence of 𝛿-pulses, the system fluctuations are not Gaussian. Here, we derive the corresponding equation for the probability density function 𝑃(𝑥, 𝑡) of the system parameter 𝑥(𝑡) interpreted as a particle coordinate within an impenetrable box.
Appears in Collections:	Наукові видання (ЕлІТ)