Results 41 to 50 of about 34,831 (211)

A fractional model to describe the Brownian motion of particles and its analytical solution

Advances in Mechanical Engineering, 2015
In this article, we apply a relatively modified analytic iterative method for solving a time-fractional Fokker–Planck equation subject to given constraints.
Jing-Jing Yao, Amit Kumar, Sunil Kumar
doaj   +1 more source

Dispersive Transport Described by the Generalized Fick Law with Different Fractional Operators

Fractal and Fractional, 2020
The approach based on fractional advection–diffusion equations provides an effective and meaningful tool to describe the dispersive transport of charge carriers in disordered semiconductors.
Renat T. Sibatov, HongGuang Sun
doaj   +1 more source

On separable Fokker-Planck equations with a constant diagonal diffusion matrix

, 1999
We classify (1+3)-dimensional Fokker-Planck equations with a constant diagonal diffusion matrix that are solvable by the method of separation of variables. As a result, we get possible forms of the drift coefficients $B_1(\vec x),B_2(\vec x),B_3(\vec x)$
Alexander Zhalij, Arscott F, Buchholz H, Eisenhart L P, Erdélyi A, Gardiner C W, Miller W Jr, Morse P M, Risken H, Sukhomlin N B, Urwin K, van Kampen N G, Watson G N, Zhdanov R Z, Zhdanov R Z, Zhdanov R Z   +15 more
core   +3 more sources

In‐and‐Out: Algorithmic Diffusion for Sampling Convex Bodies

Random Structures &Algorithms, Volume 68, Issue 3, May 2026.
ABSTRACT We present a new random walk for uniformly sampling high‐dimensional convex bodies. It achieves state‐of‐the‐art runtime complexity with stronger guarantees on the output than previously known, namely in Rényi divergence (which implies TV, 𝒲2, KL, χ2$$ {\chi}^2 $$).
Yunbum Kook, Santosh S. Vempala, Matthew S. Zhang   +2 more
wiley   +1 more source

A perturbative approach to a class of Fokker-Planck equations

, 2007
In this paper we present a direct perturbative method to solving certain Fokker-Planck equations, which have constant diffusion coefficients and some small parameters in the drift coefficients.
Dai, Yan-Min, Ho, Choon-Lin
core   +1 more source

Global Effects of Chorus and Hiss Waves on Trapped Energetic Electrons at Jupiter

Geophysical Research Letters, Volume 53, Issue 7, 16 April 2026.
Abstract Unlike Earth, where whistler‐mode chorus is generally observed outside the plasmasphere and hiss is predominantly confined within it, Jupiter's magnetosphere frequently hosts both wave modes simultaneously. Using Juno observations, we present a global survey of whistler‐mode waves at Jupiter, demonstrating that both chorus and hiss are ...
W. Li, Q. Ma, W. S. Kurth, G. B. Hospodarsky, S. J. Bolton   +4 more
wiley   +1 more source

Probabilistic solutions of a stretched beam discretized with finite difference scheme and excited by Kanai-Tajimi ground motion

Archives of Mechanics, 2019
The probabilistic solutions of the elastic stretched beam are studied under the excitation of Kanai–Tajimi ground motion. Finite difference scheme is adopted to formulate the nonlinear multi-degree-of-freedom system about the random vibration of the beam.
G.-K. Er, V.P. Iu, H.-E. Du
doaj   +1 more source

Quasi-exactly solvable Fokker-Planck equations

, 2007
We consider exact and quasi-exact solvability of the one-dimensional Fokker-Planck equation based on the connection between the Fokker-Planck equation and the Schr\"odinger equation. A unified consideration of these two types of solvability is given from
Andrianov, Aoyama, Aoyama, Bagrov, Choon-Lin Ho, Cooper, González-López, González-López, Ho, Ho, Ho, Junker, Kamran, Klishevich, Post, Risken, Ryu Sasaki, Sasaki, Shifman, Shifman, Shifman, Turbiner, Turbiner, Turbiner   +23 more
core   +1 more source

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

Fokker-Planck equations for nonlinear dynamical systems driven by non-Gaussian Levy processes

, 2012
The Fokker-Planck equations describe time evolution of probability densities of stochastic dynamical systems and are thus widely used to quantify random phenomena such as uncertainty propagation.
Jinqiao Duan, Protter P., Sato K., Xu Sun   +3 more
core   +1 more source