Non-equilibrium statistical mechanics of synchrotron-Cerenkov radiation

D.N. Patro and R. Pratap

Physica A: Statistical Mechanics and its Applications, 1983, vol. 117, issue 1, 189-211

Abstract: The synergic synchrotron-Cerenkov (SC) radiation emitted by a relativistic charged particle under the combined effect of the constant external magnetic field and the collective interactions in the ambient plasma (medium) is given in the framework of the non-equilibrium statistical mechanics developed by Prigogine and his co-workers. Starting from the formal solution of the Liouville equation, the one-particle distribution function is calculated. Restricting the motion of the test particle to a circular orbit in the plane normal to the magnetic field, we use the above distribution function to calculate the power emitted per unit solid angle by the test particle as a function of time. We have thus obtained the time evolution of the synergic SC radiation which in the asymptotic limit reproduces the results of Schwinger and his co-workers. It is also shown that the collective interactions within the system produces a shift in the frequency of the outcoming radiation.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:117:y:1983:i:1:p:189-211

DOI: 10.1016/0378-4371(83)90030-4

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