Diamagnetic effects in synchrotron sources

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Abstract
A magnetized plasma behaves as a diamagnetic material: particles injected in a magnetized region can lower the applied magnetic field, this screening being almost complete if the energy density of the particles is high enough with respect to the energy density of the applied magnetic field. We find the equilibrium states of such systems assuming that the applied field is produced by ‘batteries’ external to the region under consideration. Under the influence of synchrotron losses, the system evolves. The internal equilibrium magnetic field increases with time, inducing an electric field which slows down the cooling. As a result, one electron can radiate more than its internal energy, the extra work being done by the ‘batteries’ maintaining the external magnetic field. The consequences on the evolution of synchrotron sources are discussed.

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