Zobrazeno 1 - 10
of 115
pro vyhledávání: '"Alexander Iomin"'
Autor:
Alexander Iomin
Publikováno v:
Fractal and Fractional, Vol 7, Iss 10, p 745 (2023)
A contaminant spreading affected by a random field at boundaries in the comb geometry is considered. The physical effect of the random boundary conditions results in increasing a transport exponent such that the mean squared displacement increases wi
Externí odkaz:
https://doaj.org/article/41f6e201e0d64fbfaf1d4c6123c7b28b
Autor:
Alexander Iomin
Publikováno v:
Mathematics, Vol 11, Iss 13, p 2832 (2023)
The anomalous transport of particles in the presence of a time-dependent field is considered in the framework of a comb model. This turbulent-like dynamics consists of inhomogeneous time-dependent advection along the x-backbone and Brownian motion al
Externí odkaz:
https://doaj.org/article/0b8f97384c6a41a8a4a9909307cb701d
Publikováno v:
Fractal and Fractional, Vol 7, Iss 6, p 431 (2023)
An example of non-Markovian quantum dynamics is considered in the framework of a geometrical (topological) subordination approach. The specific property of the model is that it coincides exactly with the fractional diffusion equation, which describes
Externí odkaz:
https://doaj.org/article/6209c74a0b2a4ce4af35fbce139675eb
Autor:
Alexander Iomin
Publikováno v:
Mathematics, Vol 10, Iss 21, p 3996 (2022)
A quantum model of a free-electron laser (FEL) is considered. Two different approaches for the exploration of the the FEL system are considered. In the first case, the Heisenberg equations of motion are mapped on the basis of the initial wave functio
Externí odkaz:
https://doaj.org/article/801d6f5b46654365bc47119884089b35
Autor:
Alexander Iomin
Publikováno v:
Fractal and Fractional, Vol 5, Iss 4, p 263 (2021)
A fractional calculus concept is considered in the framework of a Volterra type integro-differential equation, which is employed for the self-consistent description of the high-gain free-electron laser (FEL). It is shown that the Fox H-function is th
Externí odkaz:
https://doaj.org/article/52fa3cdaf6144105b603eea07b2b21c6
Autor:
Alexander Iomin
Publikováno v:
Fractal and Fractional, Vol 5, Iss 4, p 171 (2021)
The quantum evolution of wave functions controlled by the spectrum of Lévy random matrices is considered. An analytical treatment of quantum recurrences and revivals in the Hilbert space is performed in the framework of a theory of almost periodic f
Externí odkaz:
https://doaj.org/article/9a60933d865e446b86c5c6dc31500eb7
Publikováno v:
Mathematics, Vol 9, Iss 3, p 221 (2021)
This review addresses issues of various drift–diffusion and inhomogeneous advection problems with and without resetting on comblike structures. Both a Brownian diffusion search with drift and an inhomogeneous advection search on the comb structures
Externí odkaz:
https://doaj.org/article/fe468b0c407e4f4992e3ebc9390ec3e1
Autor:
Alexander Iomin, Trifce Sandev
Publikováno v:
Fractal and Fractional, Vol 4, Iss 4, p 52 (2020)
A random walk on a two dimensional square in R2 space with a hidden absorbing fractal set Fμ is considered. This search-like problem is treated in the framework of a diffusion–reaction equation, when an absorbing term is included inside a Fokker
Externí odkaz:
https://doaj.org/article/746d57850fee4fd486700aadfedaa3f9
Autor:
Viktor Domazetoski, Axel Masó-Puigdellosas, Trifce Sandev, Vicenç Méndez, Alexander Iomin, Ljupco Kocarev
Publikováno v:
Physical Review Research, Vol 2, Iss 3, p 033027 (2020)
We study a diffusion process on a three-dimensional comb under stochastic resetting. We consider three different types of resetting: global resetting from any point in the comb to the initial position, resetting from a finger to the corresponding bac
Externí odkaz:
https://doaj.org/article/49bff2bf946247919ac217c5fee940c5
Autor:
Pece Trajanovski, Petar Jolakoski, Kiril Zelenkovski, Alexander Iomin, Ljupco Kocarev, Trifce Sandev
Publikováno v:
Physical Review E. 107
The Ornstein-Uhlenbeck process is interpreted as Brownian motion in a harmonic potential. This Gaussian Markov process has a bounded variance and admits a stationary probability distribution, in contrast to the standard Brownian motion. It also tends