Results of Limitations on Space Current Densities in Galactic and Intergalactic Space

Physics

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The accepted view as to the very high electrical conductivity of space has raised difficulties in mechanisms concerning the production of cosmic-ray energies. It is to be observed that high conductivity does not avoid the existence of a saturation on current density, i, which is equal to nec, where n is the sum of the numbers of positive and negative ions per cc. Thus for n=1, the saturation current density is of the order 5×10-9 ampere/cm2. The effect of saturation is illustrated by the following idealized conditions. Consider two coplanar rings of gas A and B, A being the smaller. Under conditions of very high conductivity, it would be impossible for the magnetic flux through either circuit to change and the electric field would be zero. If B expands, the flux through A due to B will change, but the total flux through A will not change if A has high conductivity. A will acquire induced current to compensate the change of flux arising from B. However, as time proceeds, and if the ionic density in A is small, a stage will be reached at which A can no longer develop the current necessary for magnetic flux compensation. An electric field will now arise in A and the ions will become accelerated to cosmic-ray energies, not by appreciable alteration of velocity which has already attained its maximum c, but by alteration of relativistic mass.

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