Zobrazeno 1 - 10
of 117
pro vyhledávání: '"Grebenkov, D. S."'
Publikováno v:
Phys. Rev. E 105, 044119 (2022)
The statistics of the first-encounter time of diffusing particles changes drastically when they are placed under confinement. In the present work, we make use of Monte Carlo simulations to study the behavior of a two-particle system in two- and three
Externí odkaz:
http://arxiv.org/abs/2201.05388
Autor:
Moutal, N., Grebenkov, D. S.
Publikováno v:
J. Magn. Reson. 320, 106836 (2020)
High diffusion-sensitizing magnetic field gradients have been more and more often applied nowadays to achieve a better characterization of the microstructure. As the resulting spin-echo signal significantly deviates from the conventional Gaussian for
Externí odkaz:
http://arxiv.org/abs/2007.10904
Publikováno v:
J. Phys. A: Math. Theor. 54, 04LT01 (2021)
We study the extremal properties of a stochastic process $x_t$ defined by a Langevin equation $\dot{x}_t=\sqrt{2 D_0 V(B_t)}\,\xi_t$, where $\xi_t$ is a Gaussian white noise with zero mean, $D_0$ is a constant scale factor, and $V(B_t)$ is a stochast
Externí odkaz:
http://arxiv.org/abs/2007.05765
Publikováno v:
Phys. Rev. E 102, 032118 (2020)
We investigate how confinement may drastically change both the probability density of the first-encounter time and the related survival probability in the case of two diffusing particles. To obtain analytical insights into this problem, we focus on t
Externí odkaz:
http://arxiv.org/abs/2006.13563
Autor:
Delitsyn, A., Grebenkov, D. S.
Publikováno v:
Appl. Math. Comput. 412, 126592 (2022)
We consider wave propagation across an infinite waveguide of an arbitrary bounded cross-section, whose interior is blocked by two identical thick barriers with holes. When the holes are small, the waves over a broad range of frequencies are almost fu
Externí odkaz:
http://arxiv.org/abs/2001.07060
Stochastic models based on random diffusivities, such as the diffusing-diffusivity approach, are popular concepts for the description of non-Gaussian diffusion in heterogeneous media. Studies of these models typically focus on the moments and the dis
Externí odkaz:
http://arxiv.org/abs/1911.11661
Publikováno v:
New J. Phys. 21, 122001 (2019)
In the scenario of the narrow escape problem (NEP) a particle diffuses in a finite container and eventually leaves it through a small "escape window" in the otherwise impermeable boundary, once it arrives to this window and over-passes an entropic ba
Externí odkaz:
http://arxiv.org/abs/1911.07637
Publikováno v:
Biophys. J. 117, 203-213 (2019)
A living cell's interior is one of the most complex and intrinsically dynamic systems, providing an elaborate interplay between cytosolic crowding and ATP-driven motion, which controls cellular functionality. Here, we investigated two distinct fundam
Externí odkaz:
http://arxiv.org/abs/1911.05132
Autor:
Grebenkov, D. S.
Publikováno v:
J. Phys. A 52, 174001 (2019)
We propose a unifying theoretical framework for the analysis of first-passage time distributions in two important classes of stochastic processes in which the diffusivity of a particle evolves randomly in time. In the first class of "diffusing diffus
Externí odkaz:
http://arxiv.org/abs/1812.07249