On the stability of shocks modified by particle acceleration

Drury, L. O'c.; Falle, S. A. E. G.

doi:10.1093/mnras/223.2.353

Cited by 182 publications

(151 citation statements)

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“…Two-fluid model. The two-fluid model uses the diffusiveconvection equation, coupled with the gas dynamic equations, to simulate the CR's acceleration as a gas component and an accelerated particle component (Drury & Falle 1986;Dorfi 1990;Jones & Kang 1992). Since the CR energy density is solved A&A 530, A92 (2011) instead of the particle's distribution function in this model, the simulation results are based on some assumptions, such as the CR's adiabatic index, averaged diffusive coefficient, and injection rate.…”

Section: Introductionmentioning

confidence: 99%

Monte Carlo simulations of a diffusive shock with multiple scattering angular distributions

Wang

Yan

2011

A&A

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Aims. We independently develop a simulation code following the previous dynamical Monte Carlo simulation of the diffusive shock acceleration under the isotropic scattering law during the scattering process, and the same results are obtained. Methods. Since the same results test the validity of the dynamical Monte Carlo method for simulating a collisionless shock, we extend the simulation toward including an anisotropic scattering law for further developing this dynamical Monte Carlo simulation. Under this extended anisotropic scattering law, a Gaussian distribution function is used to describe the variation of scattering angles in the particle's local frame. Results. As a result, we obtain a series of different shock structures and evolutions in terms of the standard deviation values of the given Gaussian scattering angular distributions. Conclusions. We find that the total energy spectral index increases as the standard deviation value of the scattering angular distribution increases, but the subshock's energy spectral index decreases as the standard deviation value of the scattering angular distribution increases.

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Section: Introductionmentioning

confidence: 99%

Monte Carlo simulations of a diffusive shock with multiple scattering angular distributions

Wang

Yan

2011

A&A

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“…The acoustic instability of Drury and Falle (1986) driven by the CR-pressure gradient is also anisotropic. The strong anisotropy of the magnetic turbulence is observed in the solar wind where the outward flux significantly exceeds the ingoing one.…”

Section: Collisionless Heating Of Ions and Electrons By Magnetic Turbmentioning

confidence: 99%

Collisionless Shocks in Partly Ionized Plasma with Cosmic Rays: Microphysics of Non-thermal Components

Bykov

Malkov

Raymond

et al. 2013

Microphysics of Cosmic Plasmas

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In this review we discuss some observational aspects and theoretical models of astrophysical collisionless shocks in partly ionized plasma with the presence of nonthermal components. A specific feature of fast strong collisionless shocks is their ability to accelerate energetic particles that can modify the shock upstream flow and form the shock precursors. We discuss the effects of energetic particle acceleration and associated magnetic field amplification and decay in the extended shock precursors on the line and continuum multi-wavelength emission spectra of the shocks. Both Balmer-type and radiative astrophysical shocks are discussed in connection to supernova remnants interacting with partially neutral clouds. Quantitative models described in the review predict a number of observable line-like emission features that can be used to reveal the physical state of the matter in the shock precursors and the character of nonthermal processes in the shocks. Implications of recent progress of gamma-ray observations of supernova remnants in molecular clouds are highlighted.

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“…Drury & Falle 1986). x is the spatial coordinate, u is the mean speed of thermal particles, γ c is an adiabatic constant equal to 4/3 for ultrarelativistic cosmic rays, χ is a spatial diffusion coefficient, and P c is the cosmic ray pressure.…”

Section: A One Dimensional Two-fluid Descriptionmentioning

confidence: 99%

Cosmic ray moderation of the thermal instability

Wagner¹,

Falle

Hartquist³

et al. 2005

A&A

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Abstract.We apply the Hermite-Bieler theorem in the analysis of the effect of cosmic rays on the thermal stability of an initially uniform, static background. The cosmic rays were treated in a fluid approximation and the diffusion coefficient was assumed to be constant in time and space. The inclusion of cosmic rays does not alter the criterion for the thermal stability of a medium subjected to isobaric perturbations. It does alter the criteria for the stability of a medium perturbed by small amplitude sound waves. In the limit of a high background cosmic ray pressure to thermal pressure ratio, the instability in response to high frequency sound waves is suppressed.

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On the stability of shocks modified by particle acceleration

Cited by 182 publications

References 0 publications

Monte Carlo simulations of a diffusive shock with multiple scattering angular distributions

Monte Carlo simulations of a diffusive shock with multiple scattering angular distributions

Collisionless Shocks in Partly Ionized Plasma with Cosmic Rays: Microphysics of Non-thermal Components

Cosmic ray moderation of the thermal instability

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