Covariant Kinetic Theory with an Application to the Coma Cluster
arXiv:astro-ph/0505041 · doi:10.1086/498227
Abstract
In this paper, we introduce a novel solution to the covariant Landau equation for a pure electron plasma. The method conserves energy and particle number, and reduces smoothly to the Rosenbluth potentials of non-relativistic theory. In addition, we find that a fully relativistic plasma equilibrates in only 1/100th of a Spitzer time--much faster than in the non-relativistic limit--a factor of significant import to situations in which distortions to a Maxwellian distribution are produced by anomalous methods of acceleration. To demonstrate the power of our solution in dealing with hot, astrophysical plasmas, we use this technique to show that one of the currently considered models--continuous stochastic acceleration--for the hard X-ray emission in the Coma cluster actually cannot work because the energy gained by the particles is distributed to the {\it whole} plasma on a time scale much shorter than that of the acceleration process itself.
arXiv comment36 pages, 12 figures
References in corpus (21)
- Cuba - a library for multidimensional numerical integration
- Nonthermal Electrons in Radiatively Inefficient Accretion Flow Models of Sagittarius A*
- Particle reacceleration in Coma cluster: radio properties and hard X-ray emission
- The Supermassive Black Hole at the Galactic Center
- On The Non Thermal Emission and Acceleration of Electrons in Coma and Other Clusters of Galaxies
- Causal Theories of Dissipative Relativistic Fluid Dynamics for Nuclear Collisions
- Cosmic Rays, Radio Halos and Non-Thermal X-ray Emission in Clusters of Galaxies
- Hard X-Ray Radiation in the Coma Cluster Spectrum
- Hybrid Thermal-Nonthermal Synchrotron Emission from Hot Accretion Flows
- Alfvenic reacceleration of relativistic particles in galaxy clusters: MHD waves, leptons and hadrons
- Confirmation of non-thermal hard X-ray excess in the Coma cluster from two epoch observations
- Stochastic Particle Acceleration near Accreting Black Holes
- Is there a hard tail in the Coma Cluster X-ray spectrum?
- Stochastic Acceleration and Non-Thermal Radiation in Clusters of Galaxies
- Results from a Second RXTE Observation of the Coma Cluster
- Radio Halo Formation through Magneto-turbulent Particle Acceleration in Clusters of Galaxies
- Differential Form of the Collision Integral for a Relativistic Plasma
- New Constraints on the Nature of Radio Emission in Sagittarius A*
- Self-Consistent Fokker-Planck Treatment Of Particle Distributions in Astrophysical Plasmas
- A Second-Order Stochastic Leap-Frog Algorithm for Multiplicative Noise Brownian Motion
- Relativistic heat conduction and thermoelectric properties of nonuniform plasmas
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