Fine structure of density ducts formed by active radiofrequency action on laboratory and space plasmas

Frolov, V. L.; Rapoport, V. O.; Шорохова, Е. А.; Aidakina, N. A.; Gushchin, M. E.; Zudin, I. Yu.; Korobkov, S. V.; Костров, А. В.; Parrot, M.; Rauch, Jean-Louis

doi:10.1134/s0021364015050094

Cited by 15 publications

(12 citation statements)

References 8 publications

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“…First of all, time‐resolved plasma density measurements suggested the existence of at least several narrow density enhancements of transverse sizes about 10 km within the main wider duct. The burst‐like amplitude modulation of the VLF transmitter signal received onboard the DEMETER satellite was almost synchronous with the variation of the plasma density inside the duct (Frolov et al, ). Multiple ducts with transverse dimensions of similar sizes (about 10 km) were also detected above the HAARP heater, along with broadband VLF waves trapped inside them (Woodroffe et al, ).…”

Section: Introductionmentioning

confidence: 99%

“…At the same time, a strong modulation of the VLF signal's amplitude and its spectral broadening was observed. Thus, the influence of ionospheric disturbances on the propagation of VLF waves cannot be reduced entirely to the ducting by a wide irregularity with a smooth and stationary density profile (Frolov et al, , ; Rapoport et al, ; Vartanyan et al, ).…”

Section: Introductionmentioning

confidence: 99%

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Whistler Waves' Propagation in Plasmas With Systems of Small‐Scale Density Irregularities: Numerical Simulations and Theory

et al. 2019

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The propagation of whistler waves in a magnetized plasma containing multiple small-scale (100 m to 1 km) field-aligned irregularities of enhanced electron density is considered analytically and by means of numerical simulations. Such systems of irregularities can develop in the upper ionosphere during the generation of density ducts by high-frequency heating facilities and other types of active experiments. The simulation parameters are close to those of an active experiment where a whistler wave of 18 kHz emitted by a ground-based very low frequency (VLF) transmitter was received onboard the DEMETER satellite at 700 km above the SURA heater. The study reveals a number of remarkable properties of the VLF waves' propagation, including the existence of specific waveguide modes of the small-scale density structures and of a characteristic transverse size d 0 of the irregularities. Irregularities with small density enhancements around 10-20% and transverse sizes larger than d 0 ∼ 1 km can serve as separate waveguides for VLF waves. In their turn, single irregularities narrower than d 0 cannot be considered as individual ducting structures. Numerical simulations show that, for the analysis of the electromagnetic whistlers' propagation, a system of closely spaced irregularities with scales narrower than d 0 can be modeled by an equivalent ducting structure with a smoothed density profile. Such equivalent structure has the same ducting properties for whistlers and can be produced by averaging with a sliding window of a scale about d 0 the original density distribution.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Whistler Waves' Propagation in Plasmas With Systems of Small‐Scale Density Irregularities: Numerical Simulations and Theory

et al. 2019

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“…where δ(r µN ) is the expectation value of the muon-nucleus delta-function, while other notations have exactly the same meaning and numerical values as in Eq. (15). Note that in atomic units the Bohr magneton µ B exactly equals 1 2 .…”

Section: Four-body Hydrogen-muonium Quasi-moleculesmentioning

confidence: 98%

“…Each of the basis functions in this expansion explicitlty depends upon all six relative coordinates r ij , where r ij = r 12 , r 13 , r 14 , r 23 , r 24 and r 34 . For the ground state of the MuPs system the variational expansion in six-dimensional gaussoids takes the form (see, e.g., [14], [15]):…”

Section: Four-body Muonium-positronium Systemmentioning

confidence: 99%

Atomic few-body systems with muonium

Frolov

2017

J. Phys. B: At. Mol. Opt. Phys.

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Properties of some few-body systems which include one positively charged muon µ + and two electrons e − are discussed. In particular, we consider the negatively charged muonium ion Mu − (or µ + e − 2 ) and four-body MuPs (or µ + e − 2 e + ) systems each of which has only one stable bound (ground) state. The problem of annihilation of the electron-positron pair(s) in the MuPs system is investigated. The hyperfine structure splitting of the ground state in the MuPs system evaluated with our expectation value of the muon-positron delta-function is ∆ ≈ 23.05758 M Hz. Another group of interesting four-body neutral systems investigated in this study includes the p + µ + e − 2 , d + µ + e − 2 and t + µ + e − 2 'quasi-molecules'. These quasi-molecules are formed in large numbers when positively charged muons slow down in liquid hydrogen, or in liquid deuterium and/or tritium. The properties of these systems are unique, since they occupy an intermediate position between actual two-center molecules and one-center atoms. PACS number(s): 32.10.Fn, 31.15.A-and 31.15.VeIn this communication we report the results of our analysis of some three-and fourbody systems each of which include one positively charged muon µ + and two electron e − .Briefly, we can say that each of these few-body systems contains muonium Mu (or µ + e − ), or muonium ion Mu − (or µ + e − 2 ). Recently, there is an increasing experimental interest to such few-body systems (see discussions and references in [1] - [5]). This can be explained by rapidly growing experimental abilities to detect and isolate similar few-particle systems.Moreover, by using the modern experimental techniques one can investigate some of the bound state properties of these systems. Another reason follows from the fact that the µ + muon has positive electric charge and relatively small particle mass. This means that all atomic and molecular few-body systems which contain one positively charged muon and two electrons have very special electron density distribution which differs substantially from electron density distributions in 'similar' atomic and molecular systems. In reality, such systems can be considered as a separate class of bound systems which are neither atoms, nor molecules. In some cases, the positively charged muon plays a role of central particle which stabilize a few-electron structure, e.g., in the Mu − ion and MuPs system (see below).Formally, all few-body systems with positively charged muon are unstable, but their lifetime τ (≈ 2 · 10 −6 sec) significantly exceeds the mean time(s) of atomic transitions and decay processes τ tr ≤ 1 · 10 −11 sec. In other words, these few-body quasi-atomic systems can be created and stabilized in their bound state(s) substantially faster than the decay of the µ + muon can occur.As follows from the above, it is important to predict the overall stability of the few-body systems which include muonium Mu (or muonium ion Mu − ) and investigate their basic properties. These problems are considered in our study. In particular, below we consid...

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“…General theory of the Q −1 -series for atomic two-electron systems was created and extensively applied in the middle of the last century, e.g., in [6] and [17] and references therein. Later the same problem was re-considered in a number of papers (see, e.g., [12] and [18] - [22] and references therein). Our main interest in this study is related to the two-, three-and fourelectron ions and neutral atoms.…”

Section: Appendixmentioning

confidence: 99%

Asymptotic and interpolation series for the Coulomb three-body systems with unit charges

Frolov

2019

Chemical Physics Letters

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Accurate mass-interpolation and mass-asymptotic formulas are derived for one-and two-center three-body ions with unit charges. The derived formulas are applied to predict accurate numerical values of the total energies of the ground (bound) 1 1 S(L = 0)−states in one-center atomic ions X + e − e − and analogous ground (bound) 1sσ−states in the two-center, quasi-adiabatic (or quasimolecular) X + X + e − ions. We also discuss a few problems which currently remain unsolved for the Q −1 expansions constructed for the ground (bound) states in few-electron atoms and ions.PACS number(s): 36.10.-k and 36.10.Dr

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Fine structure of density ducts formed by active radiofrequency action on laboratory and space plasmas

Cited by 15 publications

References 8 publications

Whistler Waves' Propagation in Plasmas With Systems of Small‐Scale Density Irregularities: Numerical Simulations and Theory

Whistler Waves' Propagation in Plasmas With Systems of Small‐Scale Density Irregularities: Numerical Simulations and Theory

Atomic few-body systems with muonium

Asymptotic and interpolation series for the Coulomb three-body systems with unit charges

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