Engineering Papers⌕ Search

Engineering topics

Jokipii, J. R.

Publications and source records attributed to Jokipii, J. R..

At least 127 records · Page 7

Cosmic ray scintillations. III - The low-frequency limit and observations of interplanetary scintillations

Statistically significant broad-band fluctuations, or 'scintillations', in the high-energy (about 1 GeV) cosmic ray intensity observed by neutron monitors are interpreted. The scintillations are caused by fluctuations in the interplanetary magnetic field. The theory of the scintillations is presented for the low-frequency limit, below .0001 Hz, including the effects of the earth's rotation on the fluxes observed by the neutron monitors. The observations and the theory are in good agreement. The shapes and amplitudes of the observed spectra and, in particular, a broad enhancement in the power spectrum of the Deep River neutron monitor flux near 1 cpd are related to the interplanetary magnetic field power spectrum and the cosmic ray anisotropy.

Owens, A. J.↗

A relation between cosmic-ray fluctuations, gradient, and diffusion coefficient

The motion of charged particles in a stochastic magnetic field is considered via a generalized quasi-linear expansion of Liouville's equation. The result is an equation relating cosmic-ray scintillations to particle gradients and to magnetic-field fluctuations (or diffusion coefficient). The resulting theory may be regarded as an example of a fluctuation-dissipation phenomenon, in which the diffusion coefficient plays the role of the dissipative parameter. The resonant interaction between particles and the random interplanetary magnetic field is considered explicitly, and it is shown that observed scintillations of high-energy (about 1 GeV) cosmic rays may be reasonably explained by the model.

Owens, A. J.↗

Homogeneity requirements for minimizing self-focusing damage by strong electromagnetic waves

The Rytov approximation for wave propagation in random media is generalized to include the effects of self-focusing. Solutions are obtained which show how the intensity fluctuations, which are either initially present in the wave or which are induced by the random inhomogeneities in the media, grow catastrophically. These solutions may be used to obtain conditions on the homogeneity of the medium, or of the incident beam, for reduction or elimination of catastrophic self-focusing in the medium.

Jokipii, J. R.↗

Magnetic fields and the distribution of cosmic rays in the Galaxy

If a galactic origin for the bulk of cosmic-ray particles is assumed, it is the magnetic field which regulates the propagation and escape of the particles from the Galaxy. Questions of the anisotropy of the cosmic-ray flux are considered together with magnetic-field models which can confine the particles and produce low anisotropies. In one standard approach it is postulated that the particles random walk through the presumably irregular magnetic field. In view of the difficulties associated with a diffusion hypothesis other confinement mechanisms have been proposed.

Jokipii, J. R.↗

The rate of separation of magnetic lines of force in a random magnetic field.

The mixing of magnetic lines of force, as represented by their rate of separation, as a function of distance along the magnetic field, is considered with emphasis on neighboring lines of force. This effect is particularly important in understanding the transport of charged particles perpendicular to the average magnetic field. The calculation is carried out in the approximation that the separation changes by an amount small compared with the correlation scale normal to the field, in a distance along the field of a few correlation scales. It is found that the rate of separation is very sensitive to the precise form of the power spectrum. Application to the interplanetary and interstellar magnetic fields is discussed, and it is shown that in some cases field lines, much closer together than the correlation scale, separate at a rate which is effectively as rapid as if they were many correlation lengths apart.

Jokipii, J. R.↗

Solar flare cosmic rays at and beyond the modulation boundary.

Consideration of the characteristics of solar flare cosmic ray events observed beyond a postulated modulation boundary, should any such boundary exist. It is pointed out that observations of solar flare particles at great distances from the sun provide a sensitive and precise diagnostic for any such boundary. Such considerations are of substantial interest in view of the probable penetration of deep space probes to distances of the order of 10 AU in the near future.

Jokipii, J. R.↗

Interplanetary scintillations of cosmic rays.

Statistically significant broad-band fluctuations or 'scintillations' in the high-energy (T about 1 GeV) cosmic-ray flux observed by neutron monitors are interpreted. A mechanism by which interplanetary magnetic-field fluctuations induce cosmic-ray scintillations is presented and shown to be in quantitative agreement with observation.

Owens, A. J.↗

Turbulence and scintillations in the interplanetary plasma.

The properties of the broadband fluctuations of the interplanetary plasma are discussed, taking into account observations in the vicinity of 1 AU heliocentric radius on space probes. Aspects of interplanetary scintillations and angular broadening as a probe of the solar wind are considered, giving attention to the 'thin-screen' approximation, a three-dimensional model of interplanetary scintillations, the structure of density fluctuations, and the determination of solar wind velocity from scintillations. It is pointed out that the theoretical understanding of the origin and evolution of the fluctuations and their full import for the solar wind is still at a relatively rudimentary stage.

Jokipii, J. R.↗

Fokker-Planck equations for charged-particle transport with a discussion of some higher-order effects

A derivation of the Fokker-Planck equation, based on the central limit theorem, is presented which clearly illustrates the conditions for its validity. It is reiterated that previous use of the Fokker-Planck equation in cosmic-ray transport is correct. Higher-order effects associated with magnetic mirroring and field line random walk at low energies are discussed heuristically.

Jokipii, J. R.↗

Heat conduction in a turbulent magnetic field, with application to solar-wind electrons.

Consideration of random, long-wavelength fluctuations in a turbulent magnetic field, showing that they can appreciably decrease the heat conductivity of a plasma along the magnetic field. In simple cases of interest, the reduction along the average field is approximately by the factor (cos delta theta) squared, where delta theta is the angle of the local magnetic field relative to the average field. Application to solar-wind electrons indicates that this reduction in heat conductivity due to observed fluctuations in the interplanetary magnetic field may be of the order of a factor of 2. This may help to explain recent measurements which indicate a rather low electron heat flux in the solar wind.

Hollweg, J. V.↗

Velocity of the solar wind as determined from interplanetary scintillations.

The method of smooth perturbations is used to derive the equations for interplanetary scintillation in a (statistically) spherically symmetric solar wind with constant wind velocity. The expressions, valid in the limit of small scintillation index, are used to discuss the relation between the radial wind velocity and the observed projected velocity of the scintillation pattern. It is found that the pattern velocity is systematically less than the wind velocity by a substantial fraction, depending on the radial variation of the density fluctuations. If the fluctuations fall off as 1/r-squared the correction is 18 percent, whereas if the fluctuations are proportional to 1/r the correction is 57 percent. The effects may be even more severe if the solar wind is not spherically symmetric.

Jokipii, J. R.↗

Fokker-Planck equations for charged-particle transport in random fields.

The Fokker-Planck equations for charged-particle dynamics are rederived, extending somewhat the elegant discussion of Hasselmann and Wibberenz. It is shown that the usual results are obtae and the conclusions in many cases are correct over a very broad range in energy. In particular, the rate for pitch-angle scattering may be accurately given down to energies much lower than previously thought. Recent claims that these Fokker-Planck equations are in general incorrect are thus shown to be in error.

Jokipii, J. R.↗

Wavelength dependence of the interplanetary scintillation index

Published observations of the interplanetary scintillation index m sub z are shown to vary with wavelength in a manner consistent with a smooth, power law spectrum of plasma fluctuations. This is in contrast to recent work arguing that the data require a spectrum with two separate regimes. It is concluded that published observations of m sub z are consistent with either type of density spectrum.

Hollweg, J. V.↗

Propagation of solar cosmic rays in the solar wind.

The theory of the propagation of solar cosmic rays in the solar wind is reviewed, with particular emphasis on the diffusive transport during the decay phase of events. Recent evidence is shown to corroborate the prediction that the diffusion coefficient is small for protons with energies of the order of 1 Mev. It is concluded that the transport equation explains the principal phenomena quite well, in that most effects are reasonably understood.

Jokipii, J. R.↗