Omnidirectional induced compton scattering by relativistic electrons     

V. M. Charugin  Yu. P. Ochelkov 《Astrophysics and Space Science》1974,26(2):337-344

Quasars, pulsars and other cosmic sources of intense radiation are known to have large brightness temperature (kT _b?mc ²) and relativistic electron density values. In this case the induced Compton scattering by relativistic electrons should be considered. The probability of scattering with decreasing radiation frequency is derived for isotropic radiation scattering. When induced scattering takes place, the relativistic electron obtains its energy by transforming high-frequency quanta into the low-frequency ones. In the most intensive sources electrons would receive energiesE?mc ² ××(kT _b/mc ²)^1/7 due to the heating rate proportional toE ^?5 with the cooling rate proportional toE ². Considerable distortion of the quasar spectrum is possible for reasonably large values of relativistic electron density (N?10⁶cm^?3) notwithstanding that the heating is negligible. In pulsars relativistic electron heating and spectrum distortion appear to depend more on the induced Compton scattering.  相似文献   

Resonant Compton scattering associated with pair creation     

Jeanette I. Weise 《Astrophysics and Space Science》2014,351(2):539-560

Studies of Compton scattering by relativistic electrons in a strong magnetic field have been restricted to either incident photon angles θ′ aligned along the magnetic field B or incident photon energies ω′ below the first pair creation threshold $\omega'_{PC}$ . When these restrictions are relaxed there is a resonance in Compton scattering associated with pair creation (PC), that is analogous to but independent of known resonances associated with gyromagnetic absorption (GA). As with the GA resonances, that may be labeled by the Landau quantum numbers of the relevant states, there is a sequence of PC resonances where the scattering cross section diverges. In this paper, the lowest divergence is studied for incident photon energies satisfying ω′²sin² θ′/(2eB)?1, assuming that the scattering electron is in its ground (Landau) state. This lowest resonance affects only parallel-polarized photons.  相似文献   

The broad band spectral index of TeV blazars detected by Fermi LAT     

Yongjuan Cha  Xiong Zhang  Haojin Zhang  Dingrong Xiong  Wenguang Liu  Bijun Li  Jin Li  Liansha Lei 《Astrophysics and Space Science》2013,346(1):19-30

Using γ-ray data detected by Fermi Large Area Telescope (LAT) and multi-wave band data for 35 TeV blazars sample, we have studied the possible correlations between different broad band spectral indices ( $\alpha_{\rm r.ir}$ , $\alpha_{\rm{r.o}}$ , $\alpha_{\rm r.x}$ , $\alpha_{\rm r.\gamma}$ , $\alpha_{\rm{ir.o}}$ , $\alpha_{\rm ir.x}$ , $\alpha_{\rm ir.\gamma}$ , $\alpha_{\rm o.x}$ , $\alpha_{\rm o.\gamma}$ , $\alpha_{\rm r.x}$ , $\alpha_{\rm x.\gamma}$ ) in all states (average/high/low). Our results are as follows: (1) For our TeV blazars sample, the strong positive correlations were found between $\alpha_{\rm r.ir}$ and $\alpha_{\rm{r.o}}$ , between $\alpha_{\rm r.ir}$ and $\alpha_{\rm r.x}$ , between $\alpha_{\rm r.ir}$ and $\alpha_{\rm r.\gamma}$ in all states (average/high/low); (2) For our TeV blazars sample, the strong anti-correlations were found between $\alpha_{\rm r.ir}$ and $\alpha_{\rm x.\gamma}$ , between $\alpha_{\rm{r.o}}$ and $\alpha_{\rm ir.\gamma}$ , between $\alpha_{\rm{r.o}}$ and $\alpha_{\rm o.\gamma}$ , between $\alpha_{\rm{r.o}}$ and $\alpha_{\rm x.\gamma}$ , between $\alpha_{\mathrm{ir.o}}$ and $\alpha_{\rm o.\gamma}$ , between $\alpha_{\rm r.x}$ and $\alpha_{\rm x.\gamma}$ , between $\alpha_{\rm ir.x}$ and $\alpha_{\rm x.\gamma}$ in all states (average/high/low). The results suggest that the synchrotron self-Compton radiation (SSC) is the main mechanism of high energy γ-ray emission and the inverse Compton scattering of circum-nuclear dust is likely to be a important complementary mechanism for TeV blazars. Our results also show that the possible correlations vary from state to state in the same pair of indices, Which suggest that there may exist differences in the emitting process and in the location of the emitting region for different states.  相似文献   

Broadband gravitational-wave pulses from binary neutron stars in eccentric orbits     

A. V. Gusev  V. B. Ignatiev  A. G. Kuranov  K. A. Postnov  M. E. Prokhorov 《Astronomy Letters》2002,28(3):143-149

The gravitational-wave radiation from binary stars in elliptical orbits peaks at times close to the periastron passage. For a stationary distribution of binary neutron stars in the Galaxy, there are several systems with large orbital eccentricities and periods in the range from several tens of minutes to several days from which gravitational-wave radiation at periastron will be observed as a broad pulse in the frequency range 1–100 mHz. The LISA space interferometer will be able to record pulsed signals from these systems at a signal-to-noise ratio $S/N > 5\sqrt 5$ in the frequency range ～10^?3–10^?1 Hz. Algorithms for detecting such signals are discussed.  相似文献   

Small-scale fluctuations of relic radiation     

R. A. Sunyaev  Ya. B. Zeldovich 《Astrophysics and Space Science》1970,7(1):3-19

Perturbations of the matter density in a homogeneous and isotropic cosmological model which leads to the formation of galaxies should, at later stages of evolution, cause spatial fluctuations of relic radiation. Silk assumed that an adiabatic connection existed between the density perturbations at the moment of recombination of the initial plasma and fluctuations of the observed temperature of radiation δT/T=δ _?m /3 _?m . It is shown in this article that such a simple connection is not applicable due to:

1. The long time of recombination;
2. The fact that when regions withM<10¹⁵ M _⊙ become transparent for radiation, the optical depth to the observer is still large due to Thompson scattering;
3. The spasmodic increase of δ _?m/?m in recombination.

As a result the expected temperature fluctuations of relic radiation should be smaller than adiabatic fluctuations. In this article the value of δT/T arising from scattering of radiation on moving electrons is calculated; the velocity field is generated by adiabatic or entropy density perturbations. Fluctuations of the relic radiation due to secondary heating of the intergalactic gas are also estimated. A detailed investigation of the spectrum of fluctuations may, in principle, lead to an understanding of the nature of initial density perturbations since a distinct periodic dependence of the spectral density of perturbations on wavelength (mass) is peculiar to adiabatic perturbations. Practical observations are quite difficult due to the smallness of the effects and the presence of fluctuations connected with discrete sources of radio emission.  相似文献   

Discrete frequency scattering in spherical layers surrounding a point source     

L. G. Titarchuk 《Astrophysics and Space Science》1975,35(1):137-149

The scattered radiation field in homogeneously absorbing and isotropically scattering spherical layers is studied, when the isotropic point source is at the centre. A complete frequency redistribution is assumed. It is shown, that on the inner boundaryr=R ₀ of the cavity, whenR ₀?1 (all radii are expressed in the path lengths), the source functionB～R ₀ ^?1 ln ^?1/2 R ₀ for the Doppler profile andB～R ₀ ^?3/2 for the Voigt and Lorentz profiles. The asymptotical behaviour of the source functionB(r) significantly differs from the analogous behaviour of solution for an infinite medium.  相似文献   

Stability of triangular equilibrium points in the elliptic restricted problem of three bodies with radiating and triaxial primaries     

A. Narayan  T. Usha 《Astrophysics and Space Science》2014,351(1):135-142

This paper studies the stability of infinitesimal motions about the triangular equilibrium points in the elliptic restricted three body problem assuming bigger primary as a source of radiation and the smaller one a triaxial rigid body. The perturbation technique developed by Bennet (Icarus 4:177, 1965b) has been used for determination of characteristic exponents. This technique is based on Floquet’s Theory for determination of characteristic exponents in the system with periodic coefficients. The results of the study are analytical and numerical expressions are simulated for the transition curves bounding the region of stability in the μ–e plane, accurate to O(e ²). The unstable region is found to be divided into three parts. The effect of radiation parameter is significant. For small values of e, the results are in favor with the numerical analysis of Danby (Astron. J. 69:166, 1964), Bennet (Icarus 4:177, 1965b), Alfriend and Rand (AIAA J. 6:1024, 1969). The effect of radiation pressure is significant than the oblateness and triaxiality of the primaries.  相似文献   

Symmetric and regularized coordinates on the plane triple collision manifold     

Jörg Waldvogel 《Celestial Mechanics and Dynamical Astronomy》1982,28(1-2):69-82

The planar problem of three bodies is described by means of Murnaghan's symmetric variables (the sidesa _j of the triangle and an ignorable angle), which directly allow for the elimination of the nodes. Then Lemaitre's regularized variables \(\alpha _j = \sqrt {(\alpha ^2 - \alpha _j )}\) , where \(\alpha ^2 = \tfrac{1}{2}(a_1 + a_2 + a_3 )\) , as well as their canonically conjugated momenta are introduced. By finally applying McGehee's scaling transformation \(\alpha _j = r^{{1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-0em} 2}} \tilde \alpha _j\) , wherer ² is the moment of inertia a system of 7 differential equations (with 2 first integrals) for the 5-dimensional triple collision manifold \(T\) is obtained. Moreover, the zero angular momentum solutions form a 4-dimensional invariant submanifold \(N \subset T\) represented by 6 differential equations with polynomial right-hand sides. The manifold \(N\) is of the topological typeS ²×S ² with 12 points removed, and it contains all 5 restpoint (each one in 8 copies). The flow on \(T\) is gradient-like with a Lyapounov function stationary in the 40 restpoints. These variables are well suited for numerical studies of planar triple collision.  相似文献   

Spectrum of the cosmic X- and gamma ray background in the energy range 1 keV-1 MeV     

K. Kasturirangan  U. R. Rao 《Astrophysics and Space Science》1972,15(1):161-166

Available satellite, rocket and balloon observations on cosmic X- and gamma ray background are critically examined to understand the spectral characteristics of the radiation. Appropriate corrections have been applied to the balloon observations to account for the multiple Compton scattering of X-rays in the atmosphere. It is shown that within the experimental uncertainties, all the available observations of cosmic X- and gamma ray background in the energy range 1 keV-1 MeV are consistent with a single spectrum of type $${\text{d}}N/{\text{d}}E = 30 E^{ - 2.0 \pm 0.2} {\text{photons cm}}^{{\text{ - 2}}} {\text{s}}^{{\text{ - 1}}} {\text{sr}}^{{\text{ - 1}}} {\text{keV}}^{{\text{ - 1}}} $$ .  相似文献   

Non-thermal processes in large solar flares     

R. P. Lin  H. S. Hudson 《Solar physics》1976,50(1):153-178

We analyze particle acceleration processes in large solar flares, using observations of the August, 1972, series of large events. The energetic particle populations are estimated from the hard X-ray and γ-ray emission, and from direct interplanetary particle observations. The collisional energy losses of these particles are computed as a function of height, assuming that the particles are accelerated high in the solar atmosphere and then precipitate down into denser layers. We compare the computed energy input with the flare energy output in radiation, heating, and mass ejection, and find for large proton event flares that:

1. The ～10–10² keV electrons accelerated during the flash phase constitute the bulk of the total flare energy.
2. The flare can be divided into two regions depending on whether the electron energy input goes into radiation or explosive heating. The computed energy input to the radiative quasi-equilibrium region agrees with the observed flare energy output in optical, UV, and EUV radiation.
3. The electron energy input to the explosive heating region can produce evaporation of the upper chromosphere needed to form the soft X-ray flare plasma.
4. Very intense energetic electron fluxes can provide the energy and mass for interplanetary shock wave by heating the atmospheric gas to energies sufficient to escape the solar gravitational and magnetic fields. The threshold for shock formation appears to be ～10³¹ ergs total energy in >20 keV electrons, and all of the shock energy can be supplied by electrons if their spectrum extends down to 5–10 keV.
5. High energy protons are accelerated later than the 10–10² keV electrons and most of them escape to the interplanetary medium. The energetic protons are not a significant contributor to the energization of flare phenomena. The observations are consistent with shock-wave acceleration of the protons and other nuclei, and also of electrons to relativistic energies.
6. The flare white-light continuum emission is consistent with a model of free-bound transitions in a plasma with strong non-thermal ionization produced in the lower solar chromosphere by energetic electrons. The white-light continuum is inconsistent with models of photospheric heating by the energetic particles. A threshold energy of ～5×10³⁰ ergs in >20 keV electrons is required for detectable white-light emission.

The highly efficient electron energization required in these flares suggests that the flare mechanism consists of rapid dissipation of chromospheric and coronal field-aligned or sheet currents, due to the onset of current-driven Buneman anomalous resistivity. Large proton flares then result when the energy input from accelerated electrons is sufficient to form a shock wave.  相似文献   

Rational approximation formula for Chandrasekhar’s <Emphasis Type="Italic">H</Emphasis>-function for isotropic scattering     

Kiyoshi Kawabata  Sanjay S. Limaye 《Astrophysics and Space Science》2011,332(2):365-371

In this work, we first establish a simple procedure to obtain with 11-figure accuracy the values of Chandrasekhar’s H-function for isotropic scattering using a closed-form integral representation and the Gauss-Legendre quadrature. Based on the numerical values of the function produced by this method for various combinations of ? ₀, the single scattering albedo, and μ, the cosine of the zenith angle θ of the direction of radiation emergent from or incident upon a semi-infinite scattering-absorbing medium, we propose a rational approximation formula with μ ^1/4 and \(\sqrt{1-\varpi_{0}}\) as the independent variables. This allows us to reproduce the correct values of H(? ₀,μ) within a relative error of 2.1×10^?5 without recourse to any iterative procedure or root-finding process.  相似文献   

Microwave emission above steady and moving sunspots     

F. Chiuderi Drago  C. Alissandrakis  M. Hagyard 《Solar physics》1987,112(1):89-105

Two-dimensional maps of radio brightness temperature and polarization, computed assuming thermal emission with free-free and gyroresonance absorption, are compared with observations of active region 2502, performed at Westerbork at λ = 6.16 cm during a period of 3 days in June 1980. The computation is done assuming a homogeneous model in the whole field of view (5′ × 5′) and a force-free extrapolation of the photospheric magnetic field observed at MSFC with a resolution of 2″.34. The mean results are the following:

1. A very good agreement is found above the large leading sunspot of the group, assuming a potential extrapolation of the magnetic field and a constant conductive flux in the transition region ranging from 2 × 10⁶ to 10⁷ erg cm^?2s^?1.
2. A strong radio source, associated with a new-born moving sunspot, cannot be ascribed to thermal emission. It is suggested that this source may be due to synchrotron radiation by mildly relativistic electrons accelerated by resistive instabilities occurring in the evolving magnetic configuration. An order-of-magnitude computation of the expected number of accelerated particles seems to confirm this hypothesis.

  相似文献   

Cosmic-ray antimatter: A primary origin hypothesis     

F. W. Stecker  R. J. Protheroe  D. Kazanas 《Astrophysics and Space Science》1983,96(1):171-177

We examine the possibility that the observed cosmic-ray protons are of primary extragalactic origin. The present \(\bar p\) data are consistent with a primary extragalactic component having \(\bar p\) /p?3.2±0.7 x 10^-4 independent of energy. Following the suggestion that most extragalactic cosmic rays are from active galaxies, we propose that most of the observed \(\bar p\) 's are alos from the same sites. This would imply the possibility of destroying the corresponding \(\bar \alpha \) 'sat the source, thus leading to a flux ratio \(\bar \alpha \) /α< \(\bar p\) /p. We further predict an estimate for \(\bar \alpha \) α～10^-5, within the range of future cosmic-ray detectors. the cosmological implications of this proposal are discussed.  相似文献   

Evolution of the \mathcal {L}_1 halo family in the radial solar sail circular restricted three-body problem     

Patricia Verrier  Thomas Waters  Jan Sieber 《Celestial Mechanics and Dynamical Astronomy》2014,120(4):373-400

We present a detailed investigation of the dramatic changes that occur in the \(\mathcal {L}_1\) halo family when radiation pressure is introduced into the Sun–Earth circular restricted three-body problem (CRTBP). This photo-gravitational CRTBP can be used to model the motion of a solar sail orientated perpendicular to the Sun-line. The problem is then parameterized by the sail lightness number, the ratio of solar radiation pressure acceleration to solar gravitational acceleration. Using boundary-value problem numerical continuation methods and the AUTO software package (Doedel et al. in Int J Bifurc Chaos 1:493–520, 1991) the families can be fully mapped out as the parameter \(\beta \) is increased. Interestingly, the emergence of a branch point in the retrograde satellite family around the Earth at \(\beta \approx 0.0387\) acts to split the halo family into two new families. As radiation pressure is further increased one of these new families subsequently merges with another non-planar family at \(\beta \approx 0.289\) , resulting in a third new family. The linear stability of the families changes rapidly at low values of \(\beta \) , with several small regions of neutral stability appearing and disappearing. By using existing methods within AUTO to continue branch points and period-doubling bifurcations, and deriving a new boundary-value problem formulation to continue the folds and Krein collisions, we track bifurcations and changes in the linear stability of the families in the parameter \(\beta \) and provide a comprehensive overview of the halo family in the presence of radiation pressure. The results demonstrate that even at small values of \(\beta \) there is significant difference to the classical CRTBP, providing opportunity for novel solar sail trajectories. Further, we also find that the branch points between families in the solar sail CRTBP provide a simple means of generating certain families in the classical case.  相似文献   

On the velocity of jets powering hot spots similar to those in Cygnus A     

Guy Pelletier  Jacques Roland 《Astrophysics and Space Science》1984,100(1-2):351-357

Hot spots similar to those in the radio galaxy Cygnus A can be explained by the strong shock produced by a supersonic but classical jet \(\left( {u_{jet}< c/\sqrt 3 } \right)\) . The high integrated radio luminosity (L?2×10⁴⁴ erg s^?1) and the strength of mean magnetic field (B?2×10^?4 G) suggest the hot spots are the downstream flow of a very strong shock which generates the ultrarelativistic electrons of energy ?≥20 MeV. The fully-developed subsonic turbulence amplifies the magnetic field of the jet up to 1.6×10^?4 G by the dynamo effect. If we assume that the post-shock pressure is dominated by relativistic particles, the ratio between the magnetic energy density to the energy density in relativistic particles is found to be ?2×10^?2, showing that the generally accepted hypothesis of equipartition is not valid for hot spots. The current analysis allows the determination of physical parameters inside hot spots. It is found that:

1. The velocity of the upstream flow in the frame of reference of the shock isu ₁?0.2c. Radio observations indicate that the velocity of separation of hot spots isu _sep?0.05c, so that the velocity of the jet isu _jet=u ₁+u _sep?0.25c.
2. The density of the thermal electrons inside the hot spot isn ₂?5×10^?3 e ^? cm^?3 and the mass ejected per year to power the hot spot is ?4M ₀yr^?1.
3. The relativistic electron density is less than 20% of the thermal electron density inside the hot spot and the spectrum is a power law which continues to energies as low as 30 MeV.
4. The energy density of relativistic protons is lower than the energy density of relativistic electrons unlike the situation for cosmic rays in the Galaxy.

  相似文献   

Fourier analysis of the light curves of eclipsing variables,XXIII     

H. Alkan  M. T. Edalati 《Astrophysics and Space Science》1978,59(2):431-441

The method of evaluating the photometric perturbationsB _2m of eclipsing variables in the frequency domain, developed by Kopal (1959, 1975e, 1978) for an interpretation of mutual eclipses in systems whose components are distorted by axial rotation and mutual tidal action. The aim of the present paper has been to establish explicit expressions for the photometric perturbationB _2m in such systems, regardless of the kind of eclipses and non-integral values ofm. Recently, Kopal (1978) introduced two different kinds of integrals with respect to associated α-functions andI-integrals which have been expressed in terms of certain general types of series that can be easily programmed for automatic computation within seconds of real time on highspeed computers. Following a brief introduction (Section 1) in which the need of this new approach will be expounded, in Section 3 we shall deduce the integral $$\int_0^{\theta \prime } {\tfrac{{\alpha _n^\prime }}{\delta }} d(sin^{2m} \theta )$$ in terms of a certain general type of series and also β-function, which should enable us to evaluate explicit expressions forf _* ^(h) ,f ₁ ^(h) ,f ₂ ^(h) as well asB _2m .  相似文献   

Evidence for temporal variations in polar plumes     

George L. Withbroe 《Solar physics》1983,89(1):77-88

In order to place empirical constraints on possible plasma heating processes and acceleration mechanisms for mass flows in polar plumes, we studied the variability of the O vi and Mgx emissions from four plumes observed by the Harvard Skylab experiment. The observations consist of a 40 min sequence of spectroheliograms acquired with ～2 min temporal resolution. We found that the Mgx emission from each plume had a strong ‘dc’ component and that any variations, if present, occurred at approximately the 10% (of the mean) level or less. This implies that temporal variations in the density and/or temperature were 5% or less. There were some statistically significant variations in the measured Mgx signals. Two of the plumes decreased in brightness by approximately 10% during the 40 min period of the observations. In addition two plumes exhibited short-term (few minute) variations which appear to be statistically significant at a confidence level of >90%. The latter variations (if real) appear to be due to small (～2 × 10⁴ K) fluctuations in temperature caused by fluctuations in the local plasma heating rate.  相似文献   

A new approximate solution of parallel whistler-mode dispersion equation     

Sergei S. Sazhin 《Astrophysics and Space Science》1990,172(2):235-247

A new approximation of the real part of the nonrelativistic plasma dispersion function ?Z of a real argument ξ₀ is proposed: namely, $$\Re Z_A (\xi _0 ) = \frac{{2\xi _0 }}{{1 - 2\xi _0^2 }}.$$ This approximation gives the exact value for ?Z when d²?Z/dξ ₀ ² = 0 and gives the correct expressions for the first two terms of its expansion for large ξ₀. On the basis of this approximation, a new approximate expression for whistler-mode refractive index is derived for the case of wave propagation parallel to the magnetic field in a hot anisotropic and dense plasma. Under certain conditions this expression is more convenient for practical applications in magnetospheric and/or astrophysical conditions than other approximate expressions. The approximation ?Z _A was also used in deriving the approximate expression for whistler-mode instability or damping (γ), although in this case it seems to have little merit when compared with the previously used expressions for γ.  相似文献   

Temporal variations of loop structures in the solar atmosphere     

N. R. Sheeley Jr. 《Solar physics》1980,66(1):79-87

Unique timelapse sequences of Skylab/ATM spectroheliograms reveal the following characteristics of normal (i.e. non-flare) loop structures in the solar atmosphere:

1. At the 0.5 × 10⁶ K temperature of Ne vii, emission is concentrated into individual spiky structures that project 10⁴–10⁵ km from their magnetic footpoints and live on the order of 30 min.
2. At the 1.0 × 10⁶ K temperature of Mg ix, the individual spikes are more diffuse, and have greater lengths and longer lifetimes (～ 1.5 hr) than their 0.5 × 10⁶ K counterparts. Perhaps for this reason, more 1.0 × 10⁶ K loops are visible than 0.5 × 10⁶ K loops at any given time.
3. At the 2.0 × 10⁶ K temperature of Fe xv, emission is confined to a number of relatively diffuse and irregularly shaped features whose collective patterns define closed field volumes in and between active regions. Although the individual features evolve on a time scale of roughly 6 hr, their collective patterns last for several days or more. Unlike the 0.5 × 10⁶ K features, the 2.0 × 10⁶ K features never form as a linear extension along an apparent magnetic field line, but seem to brighten and fade in place.

These results place severe constraints on theoretical models of coronal heating and mass flow.  相似文献   

Stability of ion-acoustic waves in a pair-ion plasma with a third species of ions: application to cometary plasmas     

Noble P. Abraham  Sijo Sebastian  G. Sreekala  Savithri E. Devi  G. Renuka  Venugopal Chandu 《Astrophysics and Space Science》2014,349(1):49-55

A popular model of a cometary plasma is hydrogen (H⁺) with positively charged oxygen (O⁺) as a heavier ion component. However, the discovery of negatively charged oxygen (O^?) ions enables one to model a cometary plasma as a pair-ion plasma (of O⁺ and O^?) with hydrogen as a third ion constituent. We have, therefore, studied the stability of the ion-acoustic wave in such a pair-ion plasma with hydrogen and electrons streaming with velocities $V_{d\mathrm{H}^{+}}$ and V _de , respectively, relative to the oxygen ions. We find the calculated frequency of the ion-acoustic wave with this model to be in good agreement with the observed frequencies. The ion-acoustic wave can also be driven unstable by the streaming velocity of the hydrogen ions. The growth rate increases with increasing hydrogen density $n_{\mathrm{H}^{+}}$ , and streaming velocities $V_{d\mathrm{H}^{+}}$ and V _de . It, however, decreases with increasing oxygen ion densities $n_{\mathrm{O}^{+}}$ and $n_{\mathrm{O}^{-}}$ .  相似文献