Results 31 to 40 of about 2,979 (136)
Semi-Dilute Dumbbells: Solutions of the Fokker–Planck Equation
J, 2021 Spring bead models are commonly used in the constitutive equations for polymer melts. One such model based on kinetic theory—the finitely extensible nonlinear elastic dumbbell model incorporating a Peterlin closure approximation (FENE-P)—has previously ...
Stephen Chaffin, Julia Rees
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Fundamental solution of fractional Kolmogorov–Fokker–Planck equation
Examples and Counterexamples, 2021 In this paper, we construct an explicit fundamental solution for the fractional Kolmogorov–Fokker–Planck equation. To achieve this goal, the Fourier transform is applied, and the method of characteristics and the properties of positive definite matrix ...
Cong He +3 more
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Supplement of differential equations of fraction order for forecasting of financial markets
MATEC Web of Conferences, 2018 In this paper, the analysis of capital markets takes place using the advection-diffusion equation. It should be noted that the methods used in modern theoretical physics have long been used in the analysis of capital markets.
Erokhin Sergey, Roshka Olga
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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
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On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4214-4240, 30 March 2026.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
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Evolution of ion bunch profile in the presence of longitudinal coherent electron cooling
Physical Review Accelerators and Beams, 2019 In the presence of longitudinal coherent electron cooling, the evolution of the line-density profile of a circulating ion bunch can be described by the 1D Fokker-Planck equation.
G. Wang
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Modeling the EMIC Wave‐Induced Acceleration of Energetic Protons in the Io Footprint Tail
Geophysical Research Letters, Volume 53, Issue 5, 16 March 2026.Abstract The Io footprint tail (FPT) region is crucial for studying the interactions between Io and Jupiter's magnetosphere. In this region, Juno spacecraft observed significant acceleration of energetic protons, concurrently with electromagnetic ion cyclotron (EMIC) waves below the proton gyro‐frequency.
Peng Lu +6 more
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The Non-Linear Fokker–Planck Equation in Low-Regularity Space
Mathematics, 2022 We construct the global existence and exponential time decay rates of mild solutions to the non-linear Fokker–Planck equation near a global Maxwellians with small-amplitude initial data in the low regularity function space Lk1LT∞Lv2 where the regularity ...
Yingzhe Fan, Bo Tang
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Diffusion Coefficients for Resonant Relativistic Wave‐Particle Interactions Using the PIRAN Code
Earth and Space Science, Volume 13, Issue 3, March 2026.Abstract Quasilinear diffusion coefficients can be used to model the response of charged particles to resonant wave‐particle interactions. The calculation of these coefficients is sufficiently complicated and arduous to render it prohibitive to many potential users, because of the expense in time spent developing the code.
Oliver Allanson +12 more
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European Physical Journal C: Particles and Fields, 2019 In this article, we study quantum randomness of stochastic cosmological particle production scenario using quantum corrected higher order Fokker Planck equation.
Sayantan Choudhury, Arkaprava Mukherjee
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