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Direct measurements of the acceleration of spheres and disks impacting granular media reveal simple power law scalings along with complex dynamics which bear the signatures of both fluid and solid behavior. The penetration depth scales…

Soft Condensed Matter · Physics 2009-11-13 Daniel I Goldman , Paul B. Umbanhowar

Supernova remnants are believed to be a major source of cosmic-rays in the Galaxy. As their progenitors are commonly found clustered in OB associations, one has to consider the possibility of collective effects in the acceleration process.…

High Energy Astrophysical Phenomena · Physics 2015-05-14 Gilles Ferrand , Alexandre Marcowith

The probability distribution of density in isothermal, supersonic, turbulent gas is approximately lognormal. This behaviour can be traced back to the shock waves travelling through the medium, which randomly adjust the density by a random…

Astrophysics of Galaxies · Physics 2022-10-20 Branislav Rabatin , David C. Collins

We present a mathematical model for the propagation of the shock waves that occur during planetary collisions. Such collisions are thought to occur during the formation of terrestrial planets, and they have the potential to erode the…

Earth and Planetary Astrophysics · Physics 2019-11-19 Almog Yalinewich , Andrey Remorov

The commonly applied self-similar solution of the problem of the converging shock wave (shock) evolution with constant compression of the medium behind the shock front results in an unlimited increase of the medium velocity in the vicinity…

Fluid Dynamics · Physics 2022-02-15 Sergey G. Chefranov , Yakov E. Krasik , Alexander Rososhek

Acoustic perturbations to stellar envelopes can lead to the formation of weak shock waves via nonlinear wave-steepening. Close to the stellar surface, the weak shock wave increases in strength and can potentially lead to the expulsion of…

High Energy Astrophysical Phenomena · Physics 2024-10-14 Tamar Faran , Christopher D. Matzner , Eliot Quataert

When a supernova remnant (SNR) interacts with the dense material of an interstellar cloud, its shock wave decelerates rapidly, and the post-shock temperature drops to levels that permit efficient cooling of the shocked plasma. At this…

High Energy Astrophysical Phenomena · Physics 2026-05-13 O. Petruk , R. Bandiera , T. Kuzyo , R. Brose , A. Ingallinera

We outline the main features of nuclei acceleration at supernova remnant forward shocks, stressing the crucial role played by self-amplified magnetic fields in determining the energy spectrum observed in this class of sources. In…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Damiano Caprioli

Propagation of the strong shock in the flat expanding Friedman universe is investigated using methods of dimension and similarity. Exact analytic solution of self-similar equations is obtained, determining dependences of the radius and…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-28 G. S. Bisnovatyi-Kogan

We consider the solutions of the Guderley problem, consisting of an imploding strong shock wave in an ideal gas with a power law initial density profile. The self-similar solutions, and specifically the similarity exponent which determines…

Fluid Dynamics · Physics 2021-07-07 Itamar Giron , Shmuel Balberg , Menahem Krief

Energetic particles are ubiquitous in space and astrophysical plasmas, and interplanetary shocks are widely regarded as one of the main particle accelerators in the heliosphere. Indeed, in-situ measurements typically show that energetic…

Solar and Stellar Astrophysics · Physics 2026-04-17 Giuseppe Prete , Gaetano Zimbardo , Silvia Perri

Particle acceleration to suprathermal energies in strong astrophysical shock waves is a widespread phenomenon, generally explained by diffusive shock acceleration. Such shocks can also amplify upstream magnetic field considerably beyond…

High Energy Astrophysical Phenomena · Physics 2021-08-25 Stephen P. Reynolds , Brian J. Williams , Kazimierz J. Borkowski , Knox S. Long

Collisionless shock waves, found in supernova remnants, interstellar, stellar, and planetary environments, and laboratories, are one of nature's most powerful particle accelerators. This study combines in situ satellite measurements with…

High Energy Astrophysical Phenomena · Physics 2025-03-05 Savvas Raptis , Ahmad Lalti , Martin Lindberg , Drew L. Turner , Damiano Caprioli , James L. Burch

Diffusive shock acceleration in the environs of a remnant's expanding shell is a popular candidate for the origin of SNR gamma-rays. In this paper, results from our study of non-linear effects in shock acceleration theory and their impact…

We present results of semi-analytic calculations which show clear evidence for changes in the non-equilibrium ionization behind a supernova remnant forward shock undergoing efficient diffusive shock acceleration (DSA). The efficient…

High Energy Astrophysical Phenomena · Physics 2011-02-11 Daniel J. Patnaude , Donald C. Ellison , Patrick Slane

Energetic particles spectra at interplanetary shocks often exhibit a power law within a narrow momentum range softening at higher energy. We introduce a transport equation accounting for particle acceleration and escape with diffusion…

High Energy Astrophysical Phenomena · Physics 2021-03-10 Federico Fraschetti

We present a self-similar solution to describe the propagation of a shock wave whose energy is deposited or lost at the front. Both of the propagation of the shock wave in a medium having a power-law density profile and the expansion of the…

Astrophysics · Physics 2009-11-13 Akihiro Suzuki , Toshikazu Shigeyama

The linear theory of shock acceleration predicts the maximum particle energy to be limited only by the acceleration time and the size of the shock. We study the combined effect of acceleration nonlinearity (shock modification by accelerated…

Astrophysics · Physics 2007-05-23 M. A. Malkov , P. H. Diamond , T. W. Jones

A new condition for the linear dissipative instability of the strong plane shock wave in an arbitrary medium is obtained. The instability of the shock is realized due to the flow instability behind its front, which is similar to the known…

Fluid Dynamics · Physics 2020-06-24 Sergey G. Chefranov

An explosively generated shockwave with time-dependent radius $R(t)$ is characterized by a phase in which the shocked gas becomes radiative with an effective adiabatic index $\gamma \simeq 1$. Using the result that the post-shock gas is…

High Energy Astrophysical Phenomena · Physics 2020-05-20 Eric R. Coughlin