Mathematical Physics

    

Modeling the Second Order Non-stationary Random Processes Development

Authors: Igor Tkachenko, Victoria Miroshnichenko, Kostiantin Tkachenko, Sergiy Miroshnichenko, Yuriy Miroshnichenko

We applied early developed analytic approach for analysis of third order non-stationary stochastic processes (NSPs) to consider the second order ones. A new constitutive differential equation for the NSPs was derived, and its analytic solutions were obtained. Possibility of periodic combination of nonperiodic analytic solutions of the equation was shown. Development of a 2-nd order NSP long before its macroscopically fixed beginning was shown and a possible explanation of the corresponding negative probability values for the time period was proposed. Necessity of further fine tuned experimental investigations is noted.

Comments: 6 Pages.

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[v1] 2025-08-14 20:30:37

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