Search Results - "Chechkin, A V"
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1
Barrier crossing of a Lévy flight
Published in Europhysics letters (01-11-2005)“…We consider the barrier crossing in a bistable potential for a random-walk process that is driven by Lévy noise of stable index α. It is shown that the…”
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2
Fractional Fokker-Planck equation for ultraslow kinetics
Published in Europhysics letters (01-08-2003)“…Several classes of physical systems exhibit ultraslow diffusion for which the mean-squared displacement at long times grows as a power of the logarithm of time…”
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3
Retarding subdiffusion and accelerating superdiffusion governed by distributed-order fractional diffusion equations
Published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics (01-10-2002)“…We propose diffusionlike equations with time and space fractional derivatives of the distributed order for the kinetic description of anomalous diffusion and…”
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4
Understanding anomalous transport in intermittent maps: From continuous-time random walks to fractals
Published in Europhysics letters (01-04-2005)“…We show that the generalized diffusion coefficient of a subdiffusive intermittent map is a fractal function of control parameters. A modified continuous-time…”
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5
Generalized fractional diffusion equations for accelerating subdiffusion and truncated Lévy flights
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (01-08-2008)“…Fractional diffusion equations are widely used to describe anomalous diffusion processes where the characteristic displacement scales as a power of time. For…”
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6
First passage behaviour of fractional Brownian motion in two-dimensional wedge domains
Published in Europhysics letters (01-04-2011)“…We study the survival probability and the corresponding first passage time density of fractional Brownian motion (FBM) confined to a two-dimensional open wedge…”
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7
New measurement of the neutron lifetime with a large gravitational trap
Published in JETP letters (01-11-2017)“…The lifetime of the neutron is one of the key physical quantities used to determine the weak interaction parameters and to test predictions of the theory of…”
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8
Lévy ratchet in a weak noise limit: Theory and simulation
Published in The European physical journal. ST, Special topics (01-12-2010)“… We study the motion of a particle in a time-independent periodic potential with broken mirror symmetry under action of a Lévy-stable noise (Lévy ratchet). We…”
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9
Experimental Setup for Neutron Lifetime Measurements with a Large Gravitational Trap at Low Temperatures
Published in Technical physics (01-02-2019)“…Currently the most accurate measurements of neutron lifetime are being performed at the Petersburg Nuclear Physics Institute with ultracold neutrons (UCNs)…”
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10
Lévy anomalous diffusion and fractional Fokker–Planck equation
Published in Physica A (01-07-2000)“…We demonstrate that the Fokker–Planck equation can be generalized into a ‘fractional Fokker–Planck’ equation, i.e., an equation which includes fractional space…”
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11
Rate equations, spatial moments, and concentration profiles for mobile-immobile models with power-law and mixed waiting time distributions
Published 03-04-2022“…Phys. Rev. E 105, 014105 (2022) We present a framework for systems in which diffusion-advection transport of a tracer substance in a mobile zone is interrupted…”
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12
Stochastic resetting by a random amplitude
Published 30-04-2021“…Phys. Rev. E 103, 052123 (2021) Stochastic resetting, a diffusive process whose amplitude is "reset" to the origin at random times, is a vividly studied…”
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13
Length scales in Brownian yet non-Gaussian dynamics
Published 22-08-2021“…Phys. Rev. X 11, 031002 (2021) According to the classical theory of Brownian motion, the mean squared displacement of diffusing particles evolves linearly with…”
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14
First passage statistics for diffusing diffusivity
Published 24-09-2018“…A rapidly increasing number of systems is identified in which the stochastic motion of tracer particles follows the Brownian law $\langle\mathbf{r}^2(t)…”
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15
Probabilistic properties of detrended fluctuation analysis for Gaussian processes
Published 27-11-2018“…Phys. Rev. E 101, 032114 (2020) The detrended fluctuation analysis (DFA) is one of the most widely used tools for the detection of long-range correlations in…”
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16
Search for explanation of the neutron lifetime anomaly
Published 26-02-2021“…Phys. Rev. D 103, 074010 (2021) All results of the neutron lifetime measurements performed in the last 20 years with the UCN storage method are in a good…”
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17
Fluctuation relations for anomalous dynamics generated by time-fractional Fokker-Planck equations
Published 15-07-2015“…New J. Phys. 17, 075004 (2015) (Focus Issue on Stochastic Thermodynamics) Anomalous dynamics characterized by non-Gaussian probability distributions (PDFs)…”
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18
Edge fluctuation studies in Heliotron J
Published in Journal of nuclear materials (01-03-2005)“…Low frequency and small-scale fluctuations of density and potential near the last closed flux surface are investigated by using Langmuir probes for the second…”
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19
Brownian yet non-Gaussian diffusion: from superstatistics to subordination of diffusing diffusivities
Published 30-03-2017“…Phys. Rev. X 7, 021002 (2017) A growing number of biological, soft, and active matter systems are observed to exhibit normal diffusive dynamics with a linear…”
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20
Linear relaxation processes governed by fractional symmetric kinetic equations
Published in Journal of experimental and theoretical physics (01-09-2000)Get full text
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