Langevin picture of anomalous diffusion processes in expanding medium
X Wang, Y Chen - Physical Review E, 2023 - APS
The expanding medium is very common in many different fields, such as biology and
cosmology. It brings a nonnegligible influence on particle's diffusion, which is quite different …
cosmology. It brings a nonnegligible influence on particle's diffusion, which is quite different …
Continuous time random walk in a velocity field: role of domain growth, Galilei-invariant advection-diffusion, and kinetics of particle mixing
We consider the emerging dynamics of a separable continuous time random walk (CTRW)
in the case when the random walker is biased by a velocity field in a uniformly growing …
in the case when the random walker is biased by a velocity field in a uniformly growing …
Continuous-time random walks and Fokker-Planck equation in expanding media
F Le Vot, SB Yuste - Physical Review E, 2018 - APS
We consider a separable continuous-time random walk model for describing normal as well
as anomalous diffusion of particles subjected to an external force when these particles …
as anomalous diffusion of particles subjected to an external force when these particles …
Reaction-diffusion and reaction-subdiffusion equations on arbitrarily evolving domains
Reaction-diffusion equations are widely used as the governing evolution equations for
modeling many physical, chemical, and biological processes. Here we derive reaction …
modeling many physical, chemical, and biological processes. Here we derive reaction …
Phase transitions in the fractional three-dimensional Navier–Stokes equations
DW Boutros, JD Gibbon - Nonlinearity, 2024 - iopscience.iop.org
Abstract The fractional Navier–Stokes equations on a periodic domain [0, L] 3 differ from
their conventional counterpart by the replacement of the− ν∆ u Laplacian term by νsAsu …
their conventional counterpart by the replacement of the− ν∆ u Laplacian term by νsAsu …
Standard and fractional Ornstein-Uhlenbeck process on a growing domain
We study normal diffusive and subdiffusive processes in a harmonic potential (Ornstein-
Uhlenbeck process) on a uniformly growing or contracting domain. Our starting point is a …
Uhlenbeck process) on a uniformly growing or contracting domain. Our starting point is a …
Encounter-controlled coalescence and annihilation on a one-dimensional growing domain
The kinetics of encounter-controlled processes in growing domains is markedly different
from that in a static domain. Here we consider the specific example of diffusion-limited …
from that in a static domain. Here we consider the specific example of diffusion-limited …
Langevin picture of subdiffusive particles under the joint influence of an expanding medium and an external constant force
X Wang, Y Chen - Physica A: Statistical Mechanics and its Applications, 2024 - Elsevier
It has been found that expanding medium has a nonnegligible influence on particle's
diffusion, the physical mechanism of which is quite different from an external force field. To …
diffusion, the physical mechanism of which is quite different from an external force field. To …
Langevin picture of subdiffusion in nonuniformly expanding medium
Y Chen, X Wang, W Wang - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
Anomalous diffusion phenomena have been observed in many complex physical and
biological systems. One significant advance recently is the physical extension of particle's …
biological systems. One significant advance recently is the physical extension of particle's …
Langevin picture of subdiffusion in nonuniformly expanding medium
X Wang, Y Chen, W Wang - arXiv preprint arXiv:2303.14924, 2023 - arxiv.org
Anomalous diffusion phenomena have been observed in many complex physical and
biological systems. One significant advance recently is the physical extension of particle's …
biological systems. One significant advance recently is the physical extension of particle's …