Generalized stochastic equations and their applications to plasmas
Modified Fokker-Planck equation describing particle distribution in random field for plasma heating applications
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Modified Fokker-Planck equation describing particle distribution in random field for plasma heating applications
Charged particle motion in random magnetic field, describing time evolution of particle distribution in pitch angle and position in terms of Fokker- Planck coefficients
Instability of contrastreaming plasmas investigated by taking into account Coulomb collisions via Fokker-Planck coefficients in Boltzmann equation
Fokker-Planck equation for geomagnetically trapped electron distribution as function of longitude, time, energy and mirror-point field intensity
Fokker-Planck damping introduced into Fourier- Hermite representation of Vlasov equation produces Landau and Van Kampen treatments
Damping of high frequency waves in homogeneous fully ionized plasma with relative electron-ion drift calculated, using fokker-planck kinetic equation
Electron-plasma oscillation damping in hot collisional plasma with external uniform magnetic field investigated using Fokker-Planck equation
Fokker-Planck equation describing distribution of geomagnetically trapped electrons as function of longitude, time, energy and mirror-point field intensity
Energy changes between solar wind and cosmic rays, discussing particle motion description by Fokker- Planck differential equation
Streaming and spatial gradient equations of cosmic ray particles in interplanetary medium model, discussing Fokker-Planck equation and heliocentric field modulation
Hydrogen sorption cryocoolers baselined on Planck Surveyor cosmic microwave background mission.
Acceleration and transport of high-energy particles and fluid dynamics of atmospheric plasma are interrelated aspects of solar flares, but for convenience and simplicity they were artificially separated in the past. We present here self consistently combined Fokker-Planck modeling of particles and hydrodynamic simulation of flare plasma. Energetic electrons are modeled with the Stanford unified code of acceleration, transport, and radiation, while plasma is modeled with the Naval Research Laboratory flux tube code. We calculated the collisional heating rate directly from the particle transport code, which is more accurate than those in previous studies based on approximate analytical solutions. We repeated the simulation of Mariska et al. with an injection of power law, downward-beamed electrons using the new heating rate. For this case, a -10% difference was found from their old result. We also used a more realistic spectrum of injected electrons provided by the stochastic acceleration model, which has a smooth transition from a quasi-thermal background at low energies to a non thermal tail at high energies. The inclusion of low-energy electrons results in relatively more heating in the corona (versus chromosphere) and thus a larger downward heat conduction flux. The interplay of electron heating, conduction, and radiative loss leads to stronger chromospheric evaporation than obtained in previous studies, which had a deficit in low-energy electrons due to an arbitrarily assumed low-energy cutoff. The energy and spatial distributions of energetic electrons and bremsstrahlung photons bear signatures of the changing density distribution caused by chromospheric evaporation. In particular, the density jump at the evaporation front gives rise to enhanced emission, which, in principle, can be imaged by X-ray telescopes. This model can be applied to investigate a variety of high-energy processes in solar, space, and astrophysical plasmas.
We analyze the MeV/GeV emission from four bright Gamma-Ray Bursts (GRBs) observed by the Fermi-Large Area Telescope to produce robust, stringent constraints on a dependence of the speed of light in vacuo on the photon energy (vacuum dispersion), a form of Lorentz invariance violation (LIV) allowed by some Quantum Gravity (QG) theories. First, we use three different and complementary techniques to constrain the total degree of dispersion observed in the data. Additionally, using a maximally conservative set of assumptions on possible source-intrinsic spectral-evolution effects, we constrain any vacuum dispersion solely attributed to LIV. We then derive limits on the "QG energy scale" (the energy scale that LIV-inducing QG effects become important, E(sub QG)) and the coefficients of the Standard Model Extension. For the subluminal case (where high energy photons propagate more slowly than lower energy photons) and without taking into account any source-intrinsic dispersion, our most stringent limits (at 95% CL) are obtained from GRB 090510 and are E(sub QG,1) > 7.6 times the Planck energy (E(sub Pl)) and E(sub QG,2) > 1.3×10(exp 11) GeV for linear and quadratic leading order LIV-induced vacuum dispersion, respectively. These limits improve the latest constraints by Fermi and H.E.S.S. by a factor of approx. 2. Our results disfavor any class of models requiring E(sub QG,1) < or approx. E(sub Pl)
This paper presents the cryogenic design of Hydrogen Sorption Cooler, part of cryogenic chain in the Planck Mission (ESA).
Tables of Planck black body radiation functions in terms of spectral radiance as function of wave number
Fokker-Planck analysis of effective viscosity of streaming collisionless plasma in weakly turbulent magnetic field
Coulomb collision damping of ion acoustic waves using Fokker-Planck equation of Rosenbluth for electrons and ions constituting plasma
Linear Fokker-Planck equation describing Brownian motion from kinetic equation for weakly interacting gases