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  • 1
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 3059-3077 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Analytical and numerical studies of the evolution of the Weibel instability in relativistically hot electron–positron plasmas are presented. Appropriate perturbations on the electromagnetic fields and the particle orbits, corresponding to a single unstable mode, are determined analytically and used as initial conditions in the numerical simulations to excite a single unstable mode. A simple estimate of the saturation amplitude is also obtained analytically. Numerical simulations are carried out when a single unstable mode is favorably excited. Comparisons of the simulation results with the analytical ones show very good agreement. Also observed in the simulations are mode competition, mode suppression, and the difference in the long-term evolution between the magnetized and unmagnetized plasmas. For relativistic unmagnetized plasmas, energy-like global constraints, which are conservation laws in addition to the conservation of energy and momentum, are derived. Numerical simulations of the multimode evolution are described. Simulation results show growth in electromagnetic energy in the early stage, a narrowing in the bandwidth and a shift in the peak of the spectrum to longer wavelength in the subsequent evolution, and a decrease in the temperature anisotropy. In a simulation for an unmagnetized plasma, it is observed that the system reaches a steady state halfway through the simulation. In contrast, the peak of the spectrum continues to shift to lower wave number k, and the temperature anisotropy continues to decrease during the entire simulation for a magnetized plasma.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 3369-3387 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A linear stability analysis is carried out for the Weibel instability in relativistic magnetized electron–positron-pair plasmas, with the propagation direction parallel to the background magnetic field. The instability in the ultrarelativistic regime, with the typical Lorentz factor γ much greater than unity, is emphasized for its relevance to astrophysical sources of synchrotron radiation. Detailed stability properties are examined, in the ultrarelativistic regime, for two model distribution functions, the water-bag distribution function, and a smooth distribution function. The dispersion relations are obtained in closed analytic forms for both distribution functions. The necessary and sufficient conditions for instability are determined when the temperature along the background magnetic field is cold (T(parallel)=0). The dispersion relations are solved numerically with T(parallel)≠0 over a wide range of system parameters to determine the detailed dependence of the instability on the strength of the background magnetic field and the temperature anisotropy. The present analysis shows that both a decrease in temperature anisotropy and an increase in the background magnetic field can cause a significant decrease in growth rate. For the smooth distribution function, it is found that, for a given plasma density, the system stabilizes completely when the background magnetic field is stronger than the moderate threshold value [(ωp±/ωc±)2≤2/π], corresponding to T(parallel)=0. As the temperature anisotropy decreases, the threshold magnetic field decreases.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 3 (1991), S. 818-833 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In this paper, a new process of the preferential strong heating of positrons through the ion synchrotron maser instability in positron–electron–proton (e+–e−–p+) magnetized plasmas is studied, using particle-in-cell simulations. It is found that the positrons form a nonthermal power-law-like energy distribution through their gyroresonant interaction with the extraordinary modes emitted by the ions. This process may be important for the shock excitation of the nonthermal synchrotron radiation observed from astrophysical systems powered by relativistic outflows from compact central objects (e.g., supernova remnants powered by pulsars and jets from active galactic nuclei). When the initial particle distributions are cold rings in momentum space for all three species, there are two stages of instability. The electrons and positrons first thermalize through the emission of collective extraordinary modes. This phase is followed by the emission of collective proton synchrotron radiation, a process with a slower growth rate than the maser in the e− and e+. When the gyrational energy density of the protons exceeds that of the e+, a significant amount of energy can be transferred to the positrons through resonant interaction between the e+, which gyrate in the same sense as the p+, and the elliptically polarized proton synchrotron modes whose frequency is at high harmonics of the fundamental proton gyrofrequency and whose electric field vector has the same sense of rotation as the protons and positrons. The final spectrum of the positrons has a power-law distribution in energy space: The number of positrons with relativistic energy between E and E+dE is N(E)dE∝E−2. The electrons, which have the opposite sense of gyromotion to the protons, are not accelerated and retain the relativistic Maxwellian distribution that results from the synchrotron maser instability in the pairs alone. A brief discussion of the relevance of these results to the structure of collisionless relativistic shock waves in astrophysical sources of synchrotron radiation is presented.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 31 (1988), S. 839-847 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The presence of magnetically reflected particles is shown to allow the existence of large amplitude magnetosonic solitary waves in relativistic electron–positron plasmas. If the flow is assumed to contain a single loop of gyrating particles, self-consistent structures are found with peak field amplitudes (B/B∞)max〈(11)1/2, where B∞ is the magnitude of the upstream magnetic field. In contrast, without reflected particles, the amplitude of a relativistic magnetosonic soliton is restricted to (B/B∞) −1〈2/γ∞, where γ∞ is the upstream Lorentz factor. Therefore, if γ∞(very-much-greater-than)1, reflected particles greatly increase the allowable amplitudes of these nonlinear waves. It is also shown that when γ∞(very-much-greater-than)1, the wave properties are independent of γ∞, and are completely parametrized by the ratio of the Poynting flux to the kinetic energy flux in the upstream flow. Some new features of solitary waves without reflected particles are also derived, and a heuristic model is presented which gives a simple physical interpretation of many of these results.
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  • 5
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Annals of the New York Academy of Sciences 422 (1984), S. 0 
    ISSN: 1749-6632
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Natural Sciences in General
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 302 (1983), S. 301-305 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Lack of an analogue of the Crab Nebula around PSR1937 + 214 is shown to be consistent with theory of pulsar magnetospheres only if the surface magnetic field is unusually weak, ∼109 G. Predictions are made for observations of the weak nebular emission around this object. It ...
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Space science reviews 75 (1996), S. 235-255 
    ISSN: 1572-9672
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract I summarize the results of recent research on the structure and particle acceleration properties of relativistic shock waves in which the magnetic field is transverse to the flow direction in the upstream medium, and whose composition is primarily electrons and positrons with an admixture of heavy ions. Shocks which contain heavy ions that are a minority constituent by number but which carry most of the energy density in the upstream medium put ∼ 20% of the flow energy into a nonthermal population of pairs downstream, whose distribution in energy space is N(E) α E -2, where N(E)dE is the number of particles with energy between E and E+dE. Synchrotron maser activity in the shock front, stimulated by the quasi-coherent gyration of the whole particle population as the plasma flowing into the shock reflects from the magnetic field in the shock front, provides the mechanism of thermalization and non-thermal particle acceleration. The maximum energy achievable by the pairs is γ ± m ± c 2 = m i c 2 γ 1/Z i, where γ 1 is the Lorentz factor of the upstream flow and Z i is the atomic number of the ions. The shock's spatial structure contains a series of “overshoots” in the magnetic field, regions where the gyrating heavy ions compress the magnetic field to levels in excess of the eventual downstream value. These overshoots provide a new interpretation of the structure of the inner regions of the Crab Nebula, in particular of the “wisps”, surface brightness enhancements near the pulsar. The wisps appear brighter because the small Larmor radius pairs are compressed and radiate more efficiently in the regions of more intense magnetic field. This interpretation suggests that the structure of the shock terminating the pulsar's wind in the Crab Nebula is spatially resolved, and allows one to measure γ 1 ∼ 4 × 106, the upstream magnetic field B 1 to be ∼ 3 × 10-5 Gauss, as well as to show that the total ion flow is ∼ 3 × 1034 elementary charges/sec, in good agreement with the total current flow predicted by the early Goldreich and Julian (1969) model. The total pair outflow is shown to be about 5 × 1037 pairs per second, in good agreement with the particle flux required to explain the nebular X—ray source. The energetics of particle acceleration within the magnetospheres of rotation powered pulsars and the consequences for pulsed gamma ray emission are also briefly discussed. The gamma ray luminosity above 100 MeV is shown to scale in proportion to Ė R 1/2 , as is in accord with some of the simplest ideas about “polar cap” models. Models based on acceleration in the outer magnetosphere are also briefly discussed.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Space science reviews 24 (1979), S. 437-510 
    ISSN: 1572-9672
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Some current topics in the theory of pulsar magnetospheres and their emission are reviewed. The mode of plasma supply and its consequences for structure of planetary and stellar magnetospheres is discussed. In the pulsar case, the plasma is supplied by electrical forces, in contrast to all other known examples. The resulting theories of particle acceleration along polar field lines are then reviewed, and the total energization of the charge separated plasma is summarized, when pair creation is absent. The effects of pair creation are reviewed using models of the resulting steady and unsteady flows, when the polar zones of the pulsar emit either electrons or ions. The application of these theories of acceleration and plasma supply to pulsars is discussed, with particular attention paid to the total amount of electron-positron plasma created and its momentum distribution. Qualitative agreement is shown between the spatial structure of the relativistically outflowing plasma described in one version of these models and the morphology of pulsar wave forms. Various aspects of radiation emission and transport are summarized, based on the polar current flow model with pair creation, and the phenomenon of marching subpulses is discussed. The corotation beaming and the relativistically expanding current sheet models for pulsar emission are also discussed briefly, and the paper concludes with a brief discussion of the relation between the theories of polar flow with pair plasma and the problem of the energization of the Crab Nebula.
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  • 9
    Publication Date: 1974-07-22
    Print ISSN: 0031-9007
    Electronic ISSN: 1079-7114
    Topics: Physics
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  • 10
    Publication Date: 1988-08-15
    Print ISSN: 0031-9007
    Electronic ISSN: 1079-7114
    Topics: Physics
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