Zobrazeno 1 - 10
of 1 505
pro vyhledávání: '"Chechkin, A."'
We study fractional Laplace motion (FLM) obtained from subordination of fractional Brownian motion to a gamma process, in the presence of an external drift that acts on the composite process or of an internal drift acting solely on the parental proce
Externí odkaz:
http://arxiv.org/abs/2412.14674
We consider the fractional Langevin equation far from equilibrium (FLEFE) to describe stochastic dynamics which do not obey the fluctuation-dissipation theorem, unlike the conventional fractional Langevin equation (FLE). The solution of this equation
Externí odkaz:
http://arxiv.org/abs/2412.11559
We examine two stochastic processes with random parameters, which in their basic versions (i.e., when the parameters are fixed) are Gaussian and display long range dependence and anomalous diffusion behavior, characterized by the Hurst exponent. Our
Externí odkaz:
http://arxiv.org/abs/2410.11546
The scaled Brownian motion (SBM) is regarded as one of the paradigmatic random processes, featuring the anomalous diffusion property characterized by the diffusion exponent. It is a Gaussian, self-similar process with independent increments, which ha
Externí odkaz:
http://arxiv.org/abs/2403.20206
We investigate the granular temperatures in force-free granular gases under exponential resetting. When a resetting event occurs, the granular temperature attains its initial value, whereas it decreases because of the inelastic collisions between the
Externí odkaz:
http://arxiv.org/abs/2403.18974
Autor:
Sposini, Vittoria, Nampoothiri, Sankaran, Chechkin, Aleksei, Orlandini, Enzo, Seno, Flavio, Baldovin, Fulvio
Publikováno v:
Phys. Rev. Lett. 132, 117101 (2024)
Redundancy in biology may be explained by the need to optimize extreme searching processes, where one or few among many particles are requested to reach the target like in human fertilization. We show that non-Gaussian rare fluctuations in Brownian d
Externí odkaz:
http://arxiv.org/abs/2403.10143
Autor:
Sposini, Vittoria, Nampoothiri, Sankaran, Chechkin, Aleksei, Orlandini, Enzo, Seno, Flavio, Baldovin, Fulvio
Publikováno v:
Phys. Rev. E 109, 034120 (2024)
Diffusing diffusivity models, polymers in the grand canonical ensemble and polydisperse, and continuous-time random walks all exhibit stages of non-Gaussian diffusion. Is non-Gaussian targeting more efficient than Gaussian? We address this question,
Externí odkaz:
http://arxiv.org/abs/2403.10138
Fractional diffusion and Fokker-Planck equations are widely used tools to describe anomalous diffusion in a large variety of complex systems. The equivalent formulations in terms of Caputo or Riemann-Liouville fractional derivatives can be derived as
Externí odkaz:
http://arxiv.org/abs/2308.07850
Autor:
Kurilovich, Alerksandr A., Mantsevich, Vladimir N., Chechkin, Aleksey V., Palyulin, Vladimir V.
Publikováno v:
Phys. Chem. Chem. Phys., V. 26, p.922 (2024)
We show how two different mobile-immobile type models explain the observation of negative diffusion of excitons reported in experimental studies in quasi-two-dimensional semiconductor systems. The main reason for the effect is the initial trapping an
Externí odkaz:
http://arxiv.org/abs/2307.13327
Stochastic resetting is a rapidly developing topic in the field of stochastic processes and their applications. It denotes the occasional reset of a diffusing particle to its starting point and effects, inter alia, optimal first-passage times to a ta
Externí odkaz:
http://arxiv.org/abs/2305.13722