Knot in Centaurus A: A Stochastic Magnetic Field for Diffusive Synchrotron Radiation?

The emission of relativistic electrons moving in the random and small-scale magnetic field is presented by diffusive synchrotron radiation (DSR). In this Letter, we revisit the perturbative treatment of DSR. We propose that a random and small-scale magnetic field might be generated by the turbulence. As an example, multiband radiation of the knot in Cen A comes from the electrons with energy γe ~ 103-104 in the magnetic field of 10-3 G. The multiband spectrum of DSR is well determined by the feature of a stochastic magnetic field. These results put strong constraints on the models of particle acceleration.

[1]  G. Morlino,et al.  On Particle Acceleration around Shocks. IV. Particle Spectrum as a Function of the Equation of State of the Shocked Plasma , 2007, astro-ph/0703555.

[2]  D. Lazzati,et al.  Jitter Radiation as a Possible Mechanism for Gamma-Ray Burst Afterglows: Spectra and Light Curves , 2007, astro-ph/0703209.

[3]  M. Baring Topical Issues for Particle Acceleration Mechanisms in Astrophysical Shocks , 2006, astro-ph/0611151.

[4]  L. Silva,et al.  Baryon loading and the Weibel instability in gamma-ray bursts , 2006, astro-ph/0608519.

[5]  T. Gombosi,et al.  Diffusive Shock Acceleration Theory Revisited , 2006 .

[6]  D. Eichler,et al.  Are Gamma-Ray Burst Shocks Mediated by the Weibel Instability? , 2005, astro-ph/0512579.

[7]  E. L. Robinson,et al.  No universality for the electron power-law index (p) in gamma-ray bursts and other relativistic sources , 2005, astro-ph/0512489.

[8]  W. Sparks,et al.  The Outburst of HST-1 in the M87 Jet , 2005, astro-ph/0511755.

[9]  USA,et al.  Cosmic Ray Acceleration at Ultrarelativistic Shock Waves: Effects of a “Realistic” Magnetic Field Structure , 2005, astro-ph/0510811.

[10]  P. Edwards,et al.  The X-Ray Jet in Centaurus A: Clues to the Jet Structure and Particle Acceleration , 2005, astro-ph/0510661.

[11]  G. J. Fishman,et al.  Acceleration Mechanics in Relativistic Shocks by the Weibel Instability , 2005, astro-ph/0510590.

[12]  G. Kauffmann,et al.  The many lives of active galactic nuclei: cooling flows, black holes and the luminosities and colour , 2005, astro-ph/0508046.

[13]  E. Nakar,et al.  Steady State Electrostatic Layers from Weibel Instability in Relativistic Collisionless Shocks , 2005, astro-ph/0507553.

[14]  G. Fleishman Diffusive Synchrotron Radiation from Relativistic Shocks in Gamma-Ray Burst Sources , 2005, astro-ph/0502245.

[15]  Volker Springel,et al.  The Many lives of AGN: Cooling flows, black holes and the luminosities and colours of galaxies , 2006, astro-ph/0602065.

[16]  M. Honda,et al.  Particle Diffusion and Acceleration by Shock Waves in Magnetized Filamentary Turbulence , 2005, astro-ph/0510758.

[17]  M. Medvedev The Theory of Spectral Evolution of the Gamma-Ray Burst Prompt Emission , 2005, astro-ph/0510472.

[18]  K. Nishikawa,et al.  The Influence of an Ambient Magnetic Field on Relativistic collisionless Plasma Shocks , 2004, astro-ph/0412317.

[19]  E. Waxman,et al.  Energy spectrum of particles accelerated in relativistic collisionless shocks. , 2004, Physical review letters.

[20]  R. Dettmar,et al.  The Magnetized Plasma in Galaxy Evolution , 2005 .

[21]  J. Frederiksen,et al.  Non-Fermi Power-Law Acceleration in Astrophysical Plasma Shocks , 2004, astro-ph/0408558.

[22]  A. Achterberg,et al.  Magnetic field generation in relativistic shocks - An early end of the exponential Weibel instability in electron-proton plasmas , 2004, astro-ph/0408550.

[23]  Kraków,et al.  Cosmic-Ray Acceleration at Relativistic Shock Waves with a “Realistic” Magnetic Field Structure , 2004, astro-ph/0401397.

[24]  Imperial College London,et al.  Simulations of the Small-Scale Turbulent Dynamo , 2003, astro-ph/0312046.

[25]  Å. Nordlund,et al.  Magnetic Field Generation in Collisionless Shocks: Pattern Growth and Transport , 2003, astro-ph/0308104.

[26]  N. Haugen,et al.  Simulations of nonhelical hydromagnetic turbulence. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  N. Haugen,et al.  High-Resolution Simulations of Nonhelical MHD Turbulence , 2003, astro-ph/0306453.

[28]  R. Schlickeiser,et al.  Cosmological Magnetic Field Generation by the Weibel Instability , 2003 .

[29]  M. V. Medvedev,et al.  Interpenetrating Plasma Shells: Near-Equipartition Magnetic Field Generation and Nonthermal Particle Acceleration , 2003, astro-ph/0307500.

[30]  R. Kraft,et al.  Radio and X-Ray Observations of the Jet in Centaurus A , 2003, astro-ph/0304443.

[31]  R. Kraft,et al.  X-Ray Emission from the Hot Interstellar Medium and Southwest Radio Lobe of the Nearby Radio Galaxy Centaurus A , 2003, astro-ph/0304363.

[32]  R. Fonseca,et al.  On the role of the purely transverse Weibel instability in fast ignitor scenarios , 2002 .

[33]  S. Boldyrev,et al.  Supersonic turbulence and structure of interstellar molecular clouds. , 2002, Physical review letters.

[34]  Jian-cheng Wang Stochastic Particle Acceleration in Blazar Jets , 2002 .

[35]  A. Lazarian,et al.  New Regime of Magnetohydrodynamic Turbulence: Cascade below the Viscous Cutoff , 2001, astro-ph/0112195.

[36]  Abraham Loeb,et al.  Generation of Magnetic Fields in the Relativistic Shock of Gamma-Ray Burst Sources , 1999, astro-ph/9904363.

[37]  F. Israel Centaurus A – NGC 5128 , 1998, astro-ph/9811051.

[38]  She,et al.  Quantized energy cascade and log-Poisson statistics in fully developed turbulence. , 1995, Physical review letters.

[39]  She,et al.  Universal scaling laws in fully developed turbulence. , 1994, Physical review letters.

[40]  W. Matthaeus,et al.  Models of inertial range spectra of interplanetary magnetohydrodynamic turbulence , 1990 .

[41]  G. Fleishman,et al.  A role of cosmic rays in generation of radio and optical radiation by plasma mechanisms , 1987 .

[42]  Davidson,et al.  Exact analytical model of the classical Weibel instability in a relativistic anisotropic plasma. , 1987, Physical review. A, General physics.

[43]  A. Heavens,et al.  Particle acceleration in extragalactic sources: the role of synchrotron losses in determining the spectrum , 1987 .

[44]  A. Mikhailovskii Oscillations of an isotropic relativistic plasma , 1980 .

[45]  E. S. Weibel,et al.  Spontaneously Growing Transverse Waves in a Plasma Due to an Anisotropic Velocity Distribution , 1959 .

[46]  E. M. Lifshitz,et al.  Classical theory of fields , 1952 .