Bifurcation, Efficiency, and the Role of Injection in Shock Acceleration with the Bohm Diffusion | Zendy

Mikhail Malkov | Zendy

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Bifurcation, Efficiency, and the Role of Injection in Shock Acceleration with the Bohm Diffusion

Author(s) -

Mikhail Malkov

Publication year - 1997

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/304990

Subject(s) - shock (circulatory) , acceleration , diffusion , bifurcation , mechanics , physics , mathematics , classical mechanics , thermodynamics , medicine , nonlinear system , quantum mechanics

The efficiency and uniqueness of the diffusive shock acceleration is studiedon the basis of the novel kinetic solutions. These solutions obtained earlier(paper I, astro-ph/9707152) selfconsistently describe a strong coupling ofcosmic rays with the gas flow. They show that the dependence of theacceleration efficiency upon physical parameters is critical in nature. In thispaper we investigate a steady acceleration in the parameter space formed by theinjection rate (\nu ), the upper cut-off momentum p_1 and the Mach number Mwhile the flow compression R serves as an order parameter. We determine amanifold of all possible solutions in this parameter space.Comment: 24 pages, 8 PostScript figures, uses aasms4.sty, to appear in Dec. 20, 1997 issue ApJ, vol. 49

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