Results 21 to 30 of about 73,120 (246)
A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium
Comptes Rendus. Mathématique, 2020 In this paper we are interested in the large time behavior of linear kinetic equations with heavy-tailed local equilibria. Our main contribution concerns the kinetic Lévy–Fokker–Planck equation, for which we adapt hypocoercivity techniques in order to ...
Ayi, Nathalie +3 more
doaj +1 more source
Demonstration of a family of X-ray dark-field retrieval approaches on a common set of samples. [PDF]
J Synchrotron RadiatThis study aims to guide users of dark‐field imaging in selecting the most suitable technique for their imaging goals. To this end, we provide a summary table and highlight opportunities for future research into the sources of dark‐field contrast across emerging methods.There are various imaging setups capable of capturing dark‐field images, each with ...
Alloo SJ +5 more
europepmc +2 more sources
Solving Fokker-Planck equation using deep learning. [PDF]
Chaos, 2019 The probability density function of stochastic differential equations is governed by the Fokker-Planck (FP) equation. A novel machine learning method is developed to solve the general FP equations based on deep neural networks.
Yong Xu +5 more
semanticscholar +1 more source
Fokker–Planck equation on metric graphs [PDF]
Physica A: Statistical Mechanics and its Applications, 2022 We consider the Fokker-Planck equation on metric graphs. Vertex boundary conditions are imposed in the form of weight continuity and the probability current conservation. Exact solution of the is obtained for star, tree and loop graphs. Applications of the model to Brownian motion in networks and other problems are briefly discussed.
J. Matrasulov, K. Sabirov
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Consequences of the H-Theorem from Nonlinear Fokker-Planck Equations [PDF]
, 2007 A general type of nonlinear Fokker-Planck equation is derived directly from a master equation, by introducing generalized transition rates. The H-theorem is demonstrated for systems that follow those classes of nonlinear Fokker-Planck equations, in the ...
A. R. Plastino +13 more
core +1 more source
Nonlinear Kinetics on Lattices Based on the Kinetic Interaction Principle
Entropy, 2018 Master equations define the dynamics that govern the time evolution of various physical processes on lattices. In the continuum limit, master equations lead to Fokker–Planck partial differential equations that represent the dynamics of physical ...
Giorgio Kaniadakis +1 more
doaj +1 more source
The Schauder estimate in kinetic theory with application to a toy nonlinear model [PDF]
, 2020 This article is concerned with the Schauder estimate for linear kinetic Fokker-Planck equations with H\"older continuous coefficients. This equation has an hypoelliptic structure.
Imbert, Cyril, Mouhot, Clément
core +3 more sources
Classes of N-Dimensional Nonlinear Fokker-Planck Equations Associated to Tsallis Entropy
Entropy, 2011 Several previous results valid for one-dimensional nonlinear Fokker-Planck equations are generalized to N-dimensions. A general nonlinear N-dimensional Fokker-Planck equation is derived directly from a master equation, by considering nonlinearitiesin the
Fernando D. Nobre +2 more
doaj +1 more source
Nanomaterials, 2020 The Fokker–Planck equation accurately describes AC magnetization dynamics of magnetic nanoparticles (MNPs). However, the model for describing AC magnetization dynamics of MNPs based on Fokker-Planck equation is very complicated and the numerical ...
Zhongzhou Du +5 more
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, 2010 In 1984, H. Risken authored a book (H. Risken, The Fokker-Planck Equation: Methods of Solution, Applications, Springer-Verlag, Berlin, New York) discussing the Fokker-Planck equation for one variable, several variables, methods of solution and its ...
S. Sharma, H. Patel
semanticscholar +1 more source