Journal of Numerical Analysis and Applied Mathematics
Articles Information
Journal of Numerical Analysis and Applied Mathematics, Vol.1, No.1, Sep. 2016, Pub. Date: Aug. 5, 2016
Stochastic Mathematical Model of “Tunnelling” ― Penetration of Particle Through Prohibitive Barrier
Pages: 14-22 Views: 2802 Downloads: 554
Authors
[01] Vladimir A. Dobrynskii, Institute for Metal Physics of N.A.S.U., Kiev, Ukraine.
Abstract
In the article, properties of solutions to one specific kind stochastic ordinary differential equation system are examined. This system simulates the Brownian walks which active particles make along the -axis due to the permanent white noise action. In order to study the system solution properties, a number of snapshots of experimental 1-dimensional frequency distribution function that is build up on base of the found solutions is made. Watching these snapshots we find that there exists a parameter domain such that the system under study can serve as a mathematical model of process of tunnelling ― a penetration of elementary particle through a prohibitive potential barrier.
Keywords
Active Particle, Vivacity, Natural Internal Frequency, Tunnel Effect, Penetration
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