Results 101 to 110 of about 73,120 (246)

Chorus Wave–Driven Electron Dynamics in the Van Allen Belts: From Coherence to Diffusion

AGU Advances, Volume 6, Issue 6, December 2025.
Abstract The Van Allen radiation belts contain relativistic electrons trapped by Earth's magnetic field, posing serious risks to spacecraft. Chorus waves are known to accelerate these electrons via resonant interactions, but these interactions are inherently nonlinear and coherent.
Xin Tao, Zeyu An, Fulvio Zonca, Liu Chen, Jacob Bortnik   +4 more
wiley   +1 more source

Subspace Approximations to the Focused Transport Equation of Energetic Particles, I. The Standard Form

The Open Journal of Astrophysics
The Fokker-Planck equation describing the transport of energetic particles interacting with turbulence is difficult to solve analytically. Numerical solutions are of course possible but they are not always useful for applications.
B. Klippenstein, A. Shalchi
doaj   +1 more source

Keller–Segel type approximation for nonlocal Fokker–Planck equations in one-dimensional bounded domain

European Journal of Applied Mathematics
Numerous evolution equations with nonlocal convolution-type interactions have been proposed. In some cases, a convolution was imposed as the velocity in the advection term.
Hideki Murakawa, Yoshitaro Tanaka
doaj   +1 more source

Nonlinear Electron Interactions With Intense VLF Waves From Transmitters

Journal of Geophysical Research: Space Physics, Volume 130, Issue 12, December 2025.
Abstract The impact on electron lifetimes of nonlinear interactions with the most intense very low frequency (VLF) waves from transmitters has hitherto been neglected in radiation belt codes. Here, we show the presence of a small population of intense wave packets, originating from ground‐based VLF transmitters and reaching 10 mV/m around the magnetic ...
Didier Mourenas, Xiao‐Jia Zhang, Sergei Kamaletdinov, Anton V. Artemyev, Yangyang Shen, Qianli Ma   +5 more
wiley   +1 more source

Generalized Fokker-Planck Equation for the Modified Landau-Lifshitz Equation with Poisson White Noise [PDF]

Журнал нано- та електронної фізики, 2013
Using the modified stochastic Landau-Lifshitz equation driven by Poisson white noise, we derive the generalized Fokker-Planck equation for the probability density function of the nanoparticle magnetic moment.
S.I. Denisov, O.O. Bondar
doaj  

Are Directed Waves Multifractal?

, 1998
Wave propagation is studied in a sufficiently anisotropic random medium that backscattering along one direction can be neglected. A Fokker-Planck equation is derived the solution to which would provide a complete statistical description of such directed ...
A. A. Ovichinnikov, A. A. Ovichinnikov, A. Madhukar, A. W. W. Ludwig, A. W. W. Ludwig, A.-L. Barabasi, B. B. Mandelbrot, B. Huckestein, C. Chamon, C. H. Liu, D. A. Huse, D. J. Thouless, D. Mattis, D. P. Druist, H. E. Castillo, H. L. Stormer, H. Mathur, H. Mathur, I. I. Kogan, Ilya A. Gruzberg, Ilya A. Gruzberg, J. P. Bouchaud, J. Schwinger, J. T. Chalker, L. Balents, L. Balents, L. Balents, L. Golubovic, L. Saul, M. L. Mehta, N. Ullah, P. A. Lee, R. Friedberg, S. Feng, S. M. Girvin, T. C. Halsey, Y. B. Kim, Yi-Kuo Yu   +37 more
core   +1 more source

Quantum transport equations for Bose systems taking into account nonlinear hydrodynamic processes

Condensed Matter Physics, 2014
sing the method of nonequilibrium statistical operator by Zubarev, an approach is proposed for the description of kinetics which takes into account the nonlinear hydrodynamic fluctuations for a quantum Bose system. Non-equilibrium statistical operator is
P.A. Hlushak, M.V. Tokarchuk
doaj   +1 more source

On solutions of a class of non-Markovian Fokker-Planck equations

, 2002
We show that a formal solution of a rather general non-Markovian Fokker-Planck equation can be represented in a form of an integral decomposition and thus can be expressed through the solution of the Markovian equation with the same Fokker-Planck ...
B.J. Cherayil, E. Barkai, I. M. Sokolov, I.M. Sokolov, M. Caputo, R. Metzler, R. Metzler, R. Metzler, R. Zwanzig, T. Bandyopadhyay, V.M. Kemkre   +10 more
core   +1 more source

Analyzing and forecasting the dynamics of Internet resource user sentiments based on the Fokker–Planck equation

Российский технологический журнал
Objectives. The study aims to theoretically derive the power law observed in practice for the distribution of characteristics of sociodynamic processes from the stationary Fokker–Planck equation and apply the non-stationary Fokker–Planck equation to ...
J. P. Perova, S. A. Lesko, A. A. Ivanov
doaj   +1 more source

Numerical Solution of Fokker-Planck-Kolmogorov Time Fractional Differential Equations Using Legendre Wavelet Method Along with convergence and error analysis [PDF]

مدل‌سازی پیشرفته ریاضی
The purpose of this paper is to present an efficient numerical method for finding numerical solutions Fokker-Planck-Kolmogorov time-fractional differential equations.The Legendre wavelet approach was employed for this objective. The Legendre wave was the
شعبان محمدی, سید رضا حجازی   +1 more
doaj   +1 more source