The plasma physics of shock acceleration

The notion that plasma shocks in astrophysical settings can and do accelerate charged particles to high energies is not a new one. However, in recent years considerable progress has been achieved in understanding the role particle acceleration plays both in astrophysics and in the shock process itself. In this paper we briefly review the history and theory of shock acceleration, paying particular attention to theories of parallel shocks which include the backreaction of accelerated particles on the shock structure. We discuss in detail the work that computer simulations, both plasma and Monte Carlo, are playing in revealing how thermal ions interact with shocks and how particle acceleration appears to be an inevitable and necessary part of the basic plasma physics that governs collisionless shocks. We briefly describe some of the outstanding problems that still confront theorists and observers in this field.

[1]  L. Fisk,et al.  Shock acceleration of energetic particles in corotating interaction regions in the solar wind , 1980 .

[2]  N. Sckopke,et al.  Characteristics of reflected and diffuse ions upstream from the earth's bow shock , 1981 .

[3]  A. Heavens,et al.  Particle acceleration at oblique shock fronts , 1989 .

[4]  Jeremiah P. Ostriker,et al.  Particle Acceleration by Astrophysical Shocks , 1978 .

[5]  J. Kan,et al.  Ion equation of state in quasi-parallel shocks: A simulation result , 1988 .

[6]  Derek A. Tidman,et al.  Shock waves in collisionless plasmas , 1971 .

[7]  L. Fisk,et al.  Acceleration of energetic ions at the Earth's bow shock , 1981 .

[8]  A. Bell The acceleration of cosmic rays in shock fronts – I , 1978 .

[9]  T. Jones,et al.  Diffusive cosmic-ray acceleration - Two-fluid models with in situ injection , 1990 .

[10]  L. Drury,et al.  Particle acceleration in modified shocks , 1982 .

[11]  J. Peacock Fermi acceleration by relativistic shock waves , 1981 .

[12]  D. Ellison Monte Carlo Simulation of charged particles upstream of the Earth's bow shock , 1981 .

[13]  D. Ellison,et al.  The central engine of quasars and active galactic nuclei Hadronic interactions of shock-accelerated relativistic protons , 1986 .

[14]  D. Wentzel Hydromagnetic Waves Excited by Slowly Streaming Cosmic Rays , 1968 .

[15]  J. Kirk,et al.  Particle acceleration at shocks - a Monte Carlo method , 1987 .

[16]  M. Pesses The acceleration of energetic charged particles by interplanetary and supernova shock waves , 1979 .

[17]  M. Samorski,et al.  Detection of 2 x 10/sup 15/ to 2 x 10/sup 16/ eV gamma-rays from Cygnus X-3 , 1983 .

[18]  L. Drury,et al.  Hydromagnetic shock structure in the presence of cosmic rays , 1981 .

[19]  J. Skilling Cosmic Ray Streaming—II EFFECT OF PARTICLES ON ALFVÉN WAVES , 1975 .

[20]  C. Russell,et al.  Structure of the November 12, 1978, quasi‐parallel interplanetary shock , 1984 .

[21]  D. Eichler On the theory of cosmic-ray-mediated shocks with variable compression ratio , 1984 .

[22]  D. Ellison,et al.  Particle injection and acceleration at earth's bow shock - Comparison of upstream and downstream events , 1990 .

[23]  D. Winske,et al.  Diffuse ions produced by electromagnetic ion beam instabilities. [in earth's bow shock , 1984 .

[24]  Charles C. Goodrich,et al.  The structure of perpendicular bow shocks , 1982 .

[25]  Edward Teller,et al.  Magneto-Hydrodynamic Shocks , 1950 .

[26]  Martin A. Lee Coupled hydromagnetic wave excitation and ion acceleration upstream of the earth's bow shock , 1982 .

[27]  R. Blandford,et al.  Radiation from relativistic blast waves in quasars and active galactic nuclei , 1977 .

[28]  D. Winske,et al.  Backstreaming ions from oblique earth bow shocks , 1983 .

[29]  L. Vlahos,et al.  Modeling of ion acceleration through drift and diffusion at interplanetary shocks , 1986 .

[30]  N. Sckopke,et al.  Observations of two distinct populations of bow shock ions in the upstream solar wind , 1978 .

[31]  D. Eichler Energetic particle spectra in finite shocks: the earth's bow shock , 1981 .

[32]  R. Decker,et al.  Computer modeling of test particle acceleration at oblique shocks , 1988 .

[33]  N. Omidi,et al.  Steepening of kinetic magnetosonic waves into shocklets: Simulations and consequences for planetary shocks and comets , 1990 .

[34]  J. Ostriker,et al.  Shocks in spherically accreting black holes: a model for classical quasars , 1983 .

[35]  Enrico Fermi,et al.  Galactic Magnetic Fields and the Origin of Cosmic Radiation. , 1954 .

[36]  R. Sagdeev,et al.  Collisionless shock waves in high β plasmas: 1 , 1967 .

[37]  A. Heavens Particle acceleration in shocks: the effect of finite cosmic-ray pressure on the energy distribution , 1983 .

[38]  I. N. Toptyghin Acceleration of particles by shocks in a cosmic plasma , 1980 .

[39]  C. Russell,et al.  Survey of coherent ion reflection at the quasi-parallel bow shock , 1990 .

[40]  J. Lockwood,et al.  Indications for diffusive coronal shock acceleration of protons in selected solar cosmic ray events , 1990 .

[41]  L. Kistler,et al.  Protons and alpha particles in field-aligned beams upstream of the bow shock , 1988 .

[42]  C. Russell,et al.  A test of Lee's quasi-linear theory of ion acceleration by interplanetary traveling shocks , 1986 .

[43]  B. Sonnerup Acceleration of particles reflected at a shock front , 1969 .

[44]  C. Russell,et al.  Comparison of magnetic field structures in quasi-parallel interplanetary shocks: Observations versus simulations , 1986 .

[45]  C. Darwin Source of the Cosmic Rays , 1949, Nature.

[46]  S. Brecht,et al.  Two-dimensional simulation of high Mach number plasma interactions , 1986 .

[47]  C. Kennel,et al.  Magnetic Turbulence in Shocks , 1968 .

[48]  D. Ellison,et al.  Diffusive shock acceleration - comparison of a unified shock model to bow shock observations , 1987 .

[49]  J. Kan,et al.  Effects of electron pressure in quasi‐parallel collisionless shocks , 1985 .

[50]  S. Falle,et al.  On the stability of shocks modified by particle acceleration , 1986 .

[51]  E. Parker Cosmic-Ray Modulation by Solar Wind , 1958 .

[52]  D. Burgess,et al.  "Electron acceleration at nearly perpendicular collisionless shocks, 1, One-dimensional simulations without electron scale fluctuations"" , 1989 .

[53]  A. Zdziarski On the origin of the infrared and X-ray continua of active galactic nuclei , 1986 .

[54]  D. A. Green,et al.  Statistical studies of supernova remnants. , 1984 .

[55]  H. Lühr,et al.  The distribution function of diffuse ions and the magnetic field power spectrum upstream of Earth's bow shock , 1987 .

[56]  J. Skilling Cosmic Ray Streaming—I Effect of Alfvén Waves on Particles , 1975 .

[57]  J. Gosling,et al.  The motion of ions specularly reflected off a quasi-parallel shock in the presence of large-amplitude, monochromatic MHD waves , 1986 .

[58]  T. Terasawa,et al.  Ion reflection and dissipation at quasi‐parallel collisionless shocks , 1990 .

[59]  D. Eichler,et al.  Implications of ultra-high-energy emission from Hercules X-1 , 1985, Nature.

[60]  T. Armstrong,et al.  Shock drift acceleration , 1985 .

[61]  W. Ip,et al.  Dust Charges, Cloud Potential, and Instabilities in a Dust Cloud Embedded in a Plasma (JGR 92(A3) 1987) , 1987 .

[62]  Peter L. Biermann,et al.  Synchrotron Emission from Shock Waves in Active Galactic Nuclei , 1987 .

[63]  E. Parker Origin and Dynamics of Cosmic Rays , 1958 .

[64]  L. Drury,et al.  An introduction to the theory of diffusive shock acceleration of energetic particles in tenuous plasmas , 1983 .

[65]  D. Winske,et al.  Magnetic field and density fluctuations at perpendicular supercritical collisionless shocks , 1988 .

[66]  Martin J. Rees,et al.  Theory of extragalactic radio sources , 1984 .

[67]  E. Dorfi Numerical studies of time-dependent cosmic-ray shocks , 1984 .

[68]  D. Eichler Nonlinear shock acceleration. III - Finite wave velocity, wave pressure, and entropy generation via wave damping , 1985 .

[69]  J. F. Mckenzie,et al.  Instabilities in energetic particle modified shocks , 1990 .

[70]  D. Eichler,et al.  Cosmic ray drift, shock wave acceleration and the anomalous component of cosmic rays , 1981 .

[71]  D. V. Reames,et al.  Soft X-ray emissions, meter-wavelength radio bursts, and particle acceleration in solar flares , 1988 .

[72]  N. Omidi,et al.  Re‐forming supercritical quasi‐parallel shocks: 2. Mechanism for wave generation and front re‐formation , 1990 .

[73]  L. Vlahos,et al.  Numerical Studies of Particle Acceleration at Turbulent, Oblique Shocks with an Application to Prompt Ion Acceleration during Solar Flares , 1986 .

[74]  D. Forslund,et al.  Fundamentals of plasma simulation , 1985 .

[75]  C. Kennel Shock structure in classical magnetohydrodynamics , 1988 .

[76]  R. Lepping,et al.  The Uranian bow shock - Voyager 2 inbound observations of a high Mach number shock , 1987 .

[77]  J. Jokipii Rate of energy gain and maximum energy in diffusive shock acceleration , 1987 .

[78]  L. Fisk Increases in the low‐energy cosmic ray intensity at the front of propagating interplanetary shock waves , 1971 .

[79]  K. Papadopoulos Electron heating in superhigh mach number shocks , 1988, Astrophysics and Space Science.

[80]  N. Omidi,et al.  Subcritcal dispersive shock waves upstream of planetary bow shocks and at comet Giacobini‐Zinner , 1988 .

[81]  C. Sonett,et al.  The distant geomagnetic field: 3. Disorder and shocks in the magnetopause , 1963 .

[82]  J. Lockwood,et al.  Proton energy spectra at the sun in the solar cosmic-ray events on 1978 May 7 and 1984 February 16 , 1990 .

[83]  R. Reid,et al.  Observation of γ rays >1015 eV from Cygnus X-3 , 1983, Nature.

[84]  R. Blandford On the mediation of a shock front by Fermi-accelerated cosmic rays , 1980 .

[85]  T. Gaisser,et al.  Acceleration by pulsar winds in binary systems , 1990 .

[86]  M. Scholer Diffuse ions at a quasi‐parallel collisionless shock: Simulations , 1990 .

[87]  S. Reynolds,et al.  First-order Fermi particle acceleration by relativistic shocks , 1990 .

[88]  D. Klumpar,et al.  On the origins of energetic ions in the earth's dayside magnetosheath , 1991 .

[89]  S. Colgate,et al.  Hydrodynamic Origin of Cosmic Rays , 1960 .

[90]  J. Kan,et al.  Dispersive and viscous scale lengths in the two-stage ion heating at quasi-parallel collisionless shocks , 1990 .

[91]  A. Hillas The Origin of Ultra-High-Energy Cosmic Rays , 1984 .

[92]  C. Plumpton,et al.  An introduction to magneto-fluid mechanics , 1961 .

[93]  D. Eichler Particle acceleration in collisionless shocks: regulated injection and high efficiency. , 1978 .

[94]  C. McKee,et al.  Particle acceleration mechanisms in astrophysics , 1979 .

[95]  K. Papadopoulos,et al.  High Mach Number Turbulent Magnetosonic Shocks. , 1971 .

[96]  C. Russell,et al.  Ion reflection and downstream thermalization at the quasi-parallel bow shock , 1989 .

[97]  A. Hillas Is Cygnus X-3 a monoenergetic 1017 eV accelerator? , 1984, Nature.

[98]  N. Sckopke,et al.  Energization of solar wind ions by reflection from the Earth's bow shock , 1980 .

[99]  B. Klecker,et al.  Leakage of magnetospheric ions into the magnetosheath along reconnected field lines at the dayside magnetopause , 1981 .

[100]  D. Wentzel Cosmic-Ray Propagation in the Galaxy: Collective Effects , 1974 .

[101]  A. Heavens,et al.  Relativistic shocks and particle acceleration , 1988 .

[102]  D. Winske,et al.  Two dimensional hybrid simulation of a curved bow shock , 1990 .

[103]  Dan Winske,et al.  Re‐forming supercritical quasi‐parallel shocks: 1. One‐ and two‐dimensional simulations , 1990 .

[104]  J. Kan,et al.  Structure of the quasi‐parallel bow shock: Results of numerical simulations , 1983 .

[105]  G. Chanmugam,et al.  Ultra-high energy γ rays and cosmic rays from accreting degenerate stars , 1985, Nature.

[106]  J. Kirk,et al.  On the acceleration of charged particles at relativistic shock fronts , 1987 .

[107]  J. F. Mckenzie,et al.  Magnetohydrodynamic plasma instability driven by Alfvén waves excited by cosmic rays , 1984, Journal of Plasma Physics.

[108]  C. L. Bhat,et al.  The acceleration of cosmic rays in supernova remnants. I. -ray evidence for cosmic ray intensity variations on the scale of 0.1-3 kiloparsecs , 1986 .

[109]  Dawson,et al.  Evidence for 1018-eV neutral particles from the direction of Cygnus X-3. , 1989, Physical review letters.

[110]  E. Chupp Transient Particle Acceleration Associated with Solar Flares , 1990, Science.

[111]  S. A. Mani,et al.  Ion streaming instabilities with application to collisionless shock wave structure , 1973 .

[112]  E. Möbius,et al.  A burst of energetic O+ ions during an upstream particle event , 1986 .

[113]  James A. Miller,et al.  Relativistic electron transport and bremsstrahlung production in solar flares , 1989 .

[114]  J. Gosling,et al.  Noncoplanar magnetic fields at collisionless shocks: A test of a new approach , 1988 .

[115]  F. Hoyle Radio-Source Problems , 1960 .

[116]  D. Reames Acceleration of energetic particles by shock waves from large solar flares , 1990 .

[117]  A. Bell The non-linear self-regulation of cosmic ray acceleration at shocks , 1987 .

[118]  M. Leroy Computer simulations of collisionless shock waves , 1984 .

[119]  J. Sakai,et al.  Non-stochastic prompt proton acceleration by fast magnetosonic shocks in the solar plasma , 1986 .

[120]  L. Burlaga,et al.  Scale lengths in quasi-parallel shocks , 1984 .

[121]  Martin A. Lee Coupled hydromagnetic wave excitation and ion acceleration at interplanetary traveling shocks , 1983 .

[122]  S. Falle,et al.  Time-dependent cosmic ray modified shocks , 1987 .

[123]  T. Gombosi,et al.  Combined first‐ and second‐order Fermi acceleration in cometary environments , 1989 .

[124]  G. Webb Hydrodynamical constraints on cosmic-ray acceleration in relativistic shocks , 1987 .

[125]  W. Markiewicz,et al.  Simplified models for the evolution of supernova remnants including particle acceleration , 1989 .

[126]  D. Burgess Cyclic behavior at quasi‐parallel collisionless shocks , 1989 .

[127]  D. Ellison,et al.  Monte Carlo shock-like solutions to the Boltzmann equation with collective scattering , 1984 .

[128]  Reuven Ramaty,et al.  Shock acceleration of electrons and ions in solar flares , 1985 .

[129]  V. Thomas Dimensionality effects in hybrid simulations of high Mach number collisionless perpendicular shocks , 1989 .

[130]  R. Blandford,et al.  Two-fluid models of cosmic ray shock acceleration , 1984 .

[131]  C. Kennel,et al.  Escape of heated ions upstream of quasi-parallel shocks , 1982 .

[132]  J. Kan,et al.  Ion leakage, ion reflection, ion heating and shock‐front reformation in a simulated supercritical quasi‐parallel collisionless shock , 1990 .

[133]  T. Gaisser,et al.  Particle acceleration and production of energetic photons in SN1987A , 1987, Nature.

[134]  C. Russell,et al.  Noncoplanar component of the magnetic field at low Mach number shocks , 1990 .

[135]  J. Gunn,et al.  The Origin of the Magnetic Field and Relativistic Particles in the Crab Nebula , 1974 .

[136]  R. McGuire,et al.  Energetic particle observations at the Helios 1 spacecraft of shocks associated with coronal mass ejections , 1990 .

[137]  H. Völk,et al.  Parallel high β shocks and relaxation phenomena , 1973 .

[138]  F. C. Jones The Generalized Diffusion-Convection Equation , 1990 .

[139]  G. Gloeckler,et al.  Conditions for acceleration of energetic ions ≳30 keV associated with the Earth's bow shock , 1980 .

[140]  K. Papadopoulos,et al.  A mechanism for strong shock electron heating in supernova remnants , 1988 .

[141]  E. Berezhko,et al.  Acceleration of cosmic rays by shock waves , 1988 .

[142]  D. Burgess Alpha particles in field‐aligned beams upstream of the bow shock: Simulations , 1989 .

[143]  T. T. von Rosenvinge,et al.  The role of interplanetary shocks in the longitude distribution of solar energetic particles , 1988 .

[144]  D. H. Clark,et al.  A study of galactic supernova remnants, based on Molonglo-Parkes observational data. , 1976 .

[145]  D. Ellison Shock acceleration of diffuse ions at the Earth's bow shock: Acceleration efficiency and A/Z enhancement , 1985 .

[146]  J. Gosling,et al.  Correlation between the He/H ratios in upstream particle events and in the solar wind , 1984 .

[147]  C. S. Scearce,et al.  Initial results of the imp 1 magnetic field experiment , 1964 .

[148]  D. Burgess Shock drift acceleration at low energies , 1987 .

[149]  J. Ryan,et al.  Time-dependent coronal shock acceleration of energetic solar flare particles , 1986 .

[150]  K. Quest,et al.  Theory and simulation of collisionless parallel shocks , 1988 .

[151]  D. Ellison,et al.  Origin of ultra-high-energy γ-rays from Cygnus X-3 and related sources , 1986, Nature.

[152]  A. Heavens Efficient particle acceleration in shocks , 1984 .

[153]  J. Skilling Cosmic Ray Streaming—III SELF-CONSISTENT SOLUTIONS , 1975 .

[154]  D. Ellison,et al.  Noncoplanar magnetic fields, shock potentials, and ion deflection , 1987 .

[155]  C. Goodrich,et al.  The adiabatic energy change of plasma electrons and the frame dependence of the cross‐shock potential at collisionless magnetosonic shock waves , 1984 .

[156]  C. Cesarsky,et al.  The maximum energy of cosmic rays accelerated by supernova shocks , 1983 .

[157]  Roger D. Blandford,et al.  Particle acceleration at astrophysical shocks: A theory of cosmic ray origin , 1987 .

[158]  J. F. Mckenzie,et al.  Short-wavelength compressive instabilities in cosmic ray shocks and heat conduction flows , 1987, Journal of Plasma Physics.

[159]  L. Vlahos,et al.  Shock drift acceleration in the presence of waves , 1985 .

[160]  D. Winske,et al.  HYBRID SIMULATION CODES WITH APPLICATION TO SHOCKS AND UPSTREAM WAVES , 1985 .

[161]  J. Kirk,et al.  Fermi acceleration at shocks with arbitrary velocity profiles , 1987 .

[162]  A. Galvin,et al.  A Statistical survey of Ions Observed Upstream of the Earth's Bow Shock' , 1981 .

[163]  J. R. Jokipii,et al.  On the origin of high-energy cosmic rays , 1985 .

[164]  D. Mihalas,et al.  Physics of the sun , 1985 .

[165]  W. Feldman,et al.  Interplanetary ions during an energetic storm particle event - The distribution function from solar wind thermal energies to 1.6 MeV , 1981 .

[166]  C. Kennel,et al.  Confinement of the Crab pulsar's wind by its supernova remnant , 1984 .

[167]  J. Jokipii Particle drift, diffusion, and acceleration at shocks , 1982 .

[168]  J. F. Mckenzie,et al.  Hydrodynamic estimates of cosmic ray acceleration efficiencies in shock waves , 1984 .

[169]  Eichler,et al.  Relativistic cosmic-ray spectra in the fully nonlinear theory of shock acceleration. , 1985, Physical review letters.

[170]  David G. Sibeck,et al.  The magnetosphere as a source of energetic magnetosheath ions , 1987 .