Article
Geochemistry & Geophysics
A. Stanislavsky, W. Nitka, M. Malek, K. Burnecki, J. Janczura
JOURNAL OF ATMOSPHERIC AND SOLAR-TERRESTRIAL PHYSICS
(2020)
Article
Physics, Multidisciplinary
Aleksander Stanislavsky, Aleksander Weron
Article
Physics, Multidisciplinary
Aleksander Stanislavsky, Aleksander Weron
Summary: In this paper, we demonstrate the connection between tempered subdiffusion and confinement through the conjugate property of Bernstein functions. The transformation of diffusive motion into pure jumps in a confined environment, accompanied by multiple-trapping events with infinite mean sojourn time, explains the tendency of anomalous diffusion towards confinement. This model has broad applicability in problems of transport in random media, including live cells, relaxation in heterogeneous substances, and jump-diffusion. The relation of our approach to diffusive diffusivity is also explained.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Astronomy & Astrophysics
Aleksander A. Stanislavsky, Igor N. Bubnov, Artem A. Koval, Serge N. Yerin
Summary: The interpretation of solar radio bursts observed by Parker Solar Probe during the encounter phase is important for understanding the emission mechanism in the solar corona. Ground-based observations with advanced antennas can help overcome the lower time-frequency resolution of the PSP receiver. In this study, observations were made of solar bursts generated by active region 12765, and radio events behind the solar limb of the PSP spacecraft were detected using special conditions in the solar corona.
ASTRONOMY & ASTROPHYSICS
(2022)
Article
Astronomy & Astrophysics
Artem Koval, Marian Karlicky, Aleksander Stanislavsky, Bing Wang, Miroslav Barta, Roman Gorgutsa
Summary: This paper presents radio observations of two fractured type II bursts to demonstrate a novel tool for probing magnetic-field variations in the solar wind sources. The results have a direct impact on interpretations of this class of bursts and contribute to current studies of the solar wind emitters.
ASTROPHYSICAL JOURNAL
(2021)
Article
Mathematics, Interdisciplinary Applications
Joanna Janczura, Krzysztof Burnecki, Monika Muszkieta, Aleksander Stanislavsky, Aleksander Weron
Summary: In this paper, a new approach based on fractional Levy stable motion (FLSM) is proposed for the analysis of experimental data and applied to the Golding-Cox mRNA dataset. The study utilizes non-Gaussian alpha-stable distributions and estimates the memory parameter to classify trajectories along the x and y coordinates. The results show that most trajectories exhibit subdiffusion, some follow Levy diffusion, but none demonstrate superdiffusion. The presence of non-Gaussian alpha-stable distribution is also justified through goodness-of-fit tests.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Applied
Aleksander Stanislavsky, Aleksander Weron
Summary: In this paper, a common property of generalized fractional equations used for describing physical systems related to non-exponential relaxation and anomalous diffusion is revealed, indicating duality where each generalized fractional system has a partner.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2021)
Article
Physics, Multidisciplinary
Aleksander A. Stanislaysky, Aleksander Weron
Summary: Stochastic resetting with home returns is a common phenomenon in life and nature. By studying the problem without home returns and the solution to the home return problem, we have developed a theoretical framework for search with home returns in the case of subdiffusion. This model provides a more realistic description of restart by considering random walks with random stops.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Astronomy & Astrophysics
Lev A. Stanislavsky, Igor N. Bubnov, Aleksander A. Konovalenko, Aleksander A. Stanislavsky, Serge N. Yerin
Summary: This study presents measurements of the continuum spectrum of Cassiopeia A using the GURT, revealing the absorption properties and radiation characteristics of the SNR. The results are consistent with other studies and confirm the accuracy of the theoretical model.
ASTRONOMY & ASTROPHYSICS
(2023)
Article
Geochemistry & Geophysics
Aleksander A. Stanislavsky, Igor N. Bubnov, Artem A. Koval, Lev A. Stanislavsky, Serge N. Yerin, Andriy Zalizovski, Volodymyr M. Lisachenko, Oleksander O. Konovalenko, Mykola M. Kalinichenko
Summary: Researchers detected solar radio bursts and observed the ionospheric cutoff using a new active antenna. The experiment serves as a prototype for a future radio array on the farside of the Moon and provides new opportunities to study the F2-layer critical frequency of the ionosphere.
JOURNAL OF ATMOSPHERIC AND SOLAR-TERRESTRIAL PHYSICS
(2023)
Article
Astronomy & Astrophysics
Artem Koval, Aleksander Stanislavsky, Marian Karlicky, Bing Wang, Serge Yerin, Aleksander Konovalenko, Miroslav Barta
Summary: On July 25, 2014, a type II burst was observed using radio telescopes UTR-2 and GURT. The burst exhibited various spectral features, including fundamental and harmonic components, band splitting, a herringbone structure, and a spectral break. The herringbone pattern was analyzed to study electron density turbulence in the solar corona. It was also noted that the second type II burst consisted of three drifting lanes, which coincided with the spectral break in the first burst. This suggests that the CME/shock-streamer interaction played a role in the occurrence of the type II burst.
ASTROPHYSICAL JOURNAL
(2023)
Article
Physics, Fluids & Plasmas
Yann Lanoiselee, Aleksander Stanislavsky, Davide Calebiro, Aleksander Weron
Summary: In this article, we investigated the trapped motion of a molecule undergoing diffusivity fluctuations inside a harmonic potential. We examined two possible interpretations for the diffusivity fluctuations - temperature or friction fluctuations - and found that they exhibit significantly different statistical properties inside the harmonic potential. By calculating the characteristic function and analyzing the limit behavior, we computed the mean-squared displacement and the normalized excess kurtosis. The results showed that, in the long-time limit, the probability density function (PDF) always converges to a Gaussian distribution for friction fluctuations, while for temperature fluctuations, the stationary PDF can exhibit either a Gaussian distribution or a generalized Laplace (Bessel) distribution depending on the ratio between diffusivity and positional correlation times.
Article
Physics, Fluids & Plasmas
Aleksander Stanislavsky, Aleksander Weron
Summary: This paper reveals that subordinated Brownian processes leading to subdiffusion under Poissonian resetting have a stationary state following the Laplace distribution. The scaling parameter depends on the Laplace exponent of the parent process directing the Brownian motion. The analysis of the scaling parameter helps in restoring the probability density function of the stochastic process subject to reset, while the mean time for the particle to reach its target is finite and can be optimized based on the resetting rate. If the Brownian process is replaced by Levy motion (superdiffusion), the stationary state follows the Linnik distribution, which belongs to the class of generalized Laplace distributions.
Article
Physics, Fluids & Plasmas
Aleksander Stanislavsky, Aleksander Weron
Article
Physics, Multidisciplinary
Aleksander Stanislavsky, Aleksander Weron
PHYSICAL REVIEW RESEARCH
(2019)