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The Fokker–Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm [PDF]

open access: yesRoyal Society Open Science, 2022
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 ...
C. Runfola, S. Vitali, G. Pagnini
doaj   +2 more sources

Evolution of ion bunch profile in the presence of longitudinal coherent electron cooling [PDF]

open access: yesPhysical 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
doaj   +5 more sources

Approximate solution for Fokker-Planck equation [PDF]

open access: yesCondensed Matter Physics, 2015
In this paper, an approximate solution to a specific class of the Fokker-Planck equation is proposed. The solution is based on the relationship between the Schrödinger type equation with a partially confining and symmetrical potential.
M.T. Araujo, E. Drigo Filho
doaj   +6 more sources

Quantum randomness in the Sky

open access: yesEuropean 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
doaj   +3 more sources

On the Stochastic Dynamics for the Regularized Kappa-Distributed Plasmas [PDF]

open access: yesEntropy
The generalized fluctuation–dissipation relations that produce the regularized Kappa distributions are studied. The two-variable Fokker–Planck equation, as well as its reductions in the absence of potential and in the overdamped limit, are considered ...
Ran Guo
doaj   +2 more sources

Fokker-Planck equations for a trapped particle in a quantum-thermal Ohmic bath: general theory and applications to Josephson junctions

open access: yesAAPPS Bulletin, 2023
We consider a particle trapped by a generic external potential and under the influence of a quantum-thermal Ohmic bath. Starting from the Langevin equation, we derive the corresponding Schwinger-Keldysh action.
Koichiro Furutani, Luca Salasnich
doaj   +1 more source

From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation

open access: yesPhysics Letters B, 2023
In this work, we study the formal connections between the non-linear Fokker-Planck Equation associated with the non-additive entropy and the Boltzmann Equation with the non-additive correlation functional.
Airton Deppman   +3 more
doaj   +1 more source

A Simple Stochastic Differential Equation with Discontinuous Drift [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2013
In this paper we study solutions to stochastic differential equations (SDEs) with discontinuous drift. We apply two approaches: The Euler-Maruyama method and the Fokker-Planck equation and show that a candidate density function based on the Euler ...
Maria Simonsen   +3 more
doaj   +1 more source

A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium

open access: yesComptes 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

Empirical Expression for AC Magnetization Harmonics of Magnetic Nanoparticles under High-Frequency Excitation Field for Thermometry

open access: yesNanomaterials, 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
doaj   +1 more source

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