Subspace approximation to the cosmic ray Fokker-Planck equation with perpendicular diffusion
Sign Up to like & getrecommendations! Published in 2021 at "Astrophysics and Space Science"
DOI: 10.1007/s10509-021-03976-w
Abstract: The Fokker-Planck equation describing the diffusion of energetic particles interacting with turbulence is difficult to solve analytically. Numerical solutions are of course possible but they are not useful for applications. In the past a subspace… read more here.
Keywords: fokker planck; diffusion; subspace approximation; planck equation ... See more keywords
Numerical methods for the two-dimensional Fokker-Planck equation governing the probability density function of the tempered fractional Brownian motion
Sign Up to like & getrecommendations! Published in 2019 at "Numerical Algorithms"
DOI: 10.1007/s11075-019-00800-z
Abstract: In this paper, we study the numerical schemes for the two-dimensional Fokker-Planck equation governing the probability density function of the tempered fractional Brownian motion. The main challenges of the numerical schemes come from the singularity… read more here.
Keywords: planck equation; fokker planck; tempered fractional; fractional brownian ... See more keywords
Exact solutions of Fokker–Planck equation via the Nikiforov–Uvarov method
Sign Up to like & getrecommendations! Published in 2020 at "Indian Journal of Physics"
DOI: 10.1007/s12648-020-01900-6
Abstract: We propose a powerful approach to provide the exact solutions of the time-dependent Fokker–Planck equation (FPE) for a given pair of drift and diffusion functions in stochastic phenomena. First, we briefly review Nikiforov–Uvarov mathematical method… read more here.
Keywords: planck equation; fokker planck; nikiforov uvarov; method ... See more keywords
Incorporating electrical double layers into reactive-transport simulations of processes in clays by using the Nernst-Planck equation: A benchmark revisited
Sign Up to like & getrecommendations! Published in 2018 at "Applied Geochemistry"
DOI: 10.1016/j.apgeochem.2017.10.018
Abstract: Abstract Owing to their low permeability clay formations are considered as potential host rocks for nuclear waste or as seals capping permeable reservoirs for storing unconventional gases. Clay materials such as bentonite are considered as… read more here.
Keywords: planck equation; reactive transport; nernst planck; transport ... See more keywords
Pseudospectral solutions of the Fokker-Planck equation for Pearson diffusion that yields a Kappa distribution; the associated SUSY Schrödinger equation
Sign Up to like & getrecommendations! Published in 2021 at "Computational and Theoretical Chemistry"
DOI: 10.1016/j.comptc.2020.113059
Abstract: Abstract Numerous satellite measurements of the energy distributions of electrons and ions in the solar system and beyond can be fitted with the Kappa distribution. The origin of these Kappa distributions has attracted considerable attention.… read more here.
Keywords: planck equation; fokker planck; pseudospectral solutions; kappa distribution ... See more keywords
On the non-thermal nature of distributions of electrons accelerated by high intensity lasers at the vacuum-plasma interface
Sign Up to like & getrecommendations! Published in 2019 at "Physics of Plasmas"
DOI: 10.1063/1.5111934
Abstract: The distribution function of electrons accelerated by intense laser pulses at steep vacuum-plasma interfaces is investigated by using the Fokker-Planck equation and methods from extreme statistics. The energy spectrum of electrons penetrating into the dense… read more here.
Keywords: planck equation; fokker planck; electrons accelerated; energy ... See more keywords
Data driven adaptive Gaussian mixture model for solving Fokker-Planck equation.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0083822
Abstract: The Fokker-Planck (FP) equation provides a powerful tool for describing the state transition probability density function of complex dynamical systems governed by stochastic differential equations (SDEs). Unfortunately, the analytical solution of the FP equation can… read more here.
Keywords: gaussian mixture; equation; model; adaptive gaussian ... See more keywords
The Wigner(–Poisson)–Fokker–Planck equation with singular potential
Sign Up to like & getrecommendations! Published in 2017 at "Applicable Analysis"
DOI: 10.1080/00036811.2016.1145672
Abstract: This paper is concerned with the Wigner(–Poisson)–Fokker–Planck equation with coupling to the confining potential which is a singular perturbation of the harmonic oscillator potential. In this work, we study the global (local) existence and uniqueness… read more here.
Keywords: planck equation; fokker planck; poisson fokker; wigner poisson ... See more keywords
Numerical Solution of the Azimuth-Dependent Fokker-Planck Equation in 1D Slab Geometry
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Computational and Theoretical Transport"
DOI: 10.1080/23324309.2021.1896554
Abstract: Abstract This paper is devoted to solve the steady monoenergetic Fokker-Planck equation in the 1D slab when the incoming fluxes and the source term are allowed to depend on the azimuth θ. The problem is… read more here.
Keywords: planck equation; fokker planck; geometry; equation slab ... See more keywords
The Fokker–Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm
Sign Up to like & getrecommendations! Published in 2022 at "Royal Society Open Science"
DOI: 10.1098/rsos.221141
Abstract: By collecting from literature data experimental evidence of anomalous diffusion of passive tracers inside cytoplasm, and in particular of subdiffusion of mRNA molecules inside live Escherichia coli cells, we obtain the probability density function of… read more here.
Keywords: equation; passive tracers; planck equation; tracers inside ... See more keywords
Robust identification of harmonic oscillator parameters using the adjoint Fokker–Planck equation
Sign Up to like & getrecommendations! Published in 2017 at "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences"
DOI: 10.1098/rspa.2016.0894
Abstract: We present a model-based output-only method for identifying from time series the parameters governing the dynamics of stochastically forced oscillators. In this context, suitable models of the oscillator’s damping and stiffness properties are postulated, guided… read more here.
Keywords: planck equation; equation; fokker planck; adjoint fokker ... See more keywords