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Non-linear sound is an extreme phenomenon typically observed in solids after violent explosions. But granular media are different. Right when they jam, these fragile and disordered solids exhibit a vanishing rigidity and sound speed, so…

Soft Condensed Matter · Physics 2013-05-30 Leopoldo R. Gomez , Ari M. Turner , Martin van Hecke , Vincenzo Vitelli

Perpendicular shocks are shown to be rapid particle accelerators that perform optimally when the ratio $u_{\rm s}$ of the shock speed to the particle speed roughly equals the ratio $1/\eta$ of the scattering rate to the gyro frequency. We…

High Energy Astrophysical Phenomena · Physics 2015-08-18 Makoto Takamoto , John G. Kirk

Similarity solutions are obtained for one dimensional, unsteady, adiabatic propagation of an exponential shock wave in a perfect gas with heat conduction and radiation heat flux, in the presence of azimuthal magnetic field. The shock wave…

Fluid Dynamics · Physics 2018-01-24 Ruchi Bajargaan , Arvind Patel , Manoj Singh

The escape of charged particles accelerated by diffusive shock acceleration from supernova remnants is shown to be a more complex process than normally appreciated. Using a box model it is shown that the high-energy end of the spectrum can…

Astrophysics of Galaxies · Physics 2015-05-20 Luke O'C. Drury

The efficiency of particle acceleration at shock waves in relativistic, magnetized astrophysical outflows is a debated topic with far-reaching implications. Here, for the first time, we study the impact of turbulence in the pre-shock…

High Energy Astrophysical Phenomena · Physics 2023-07-06 Virginia Bresci , Martin Lemoine , Laurent Gremillet

The flow resulting from a strong ultrarelativistic shock moving through a stellar envelope with a polytrope-like density profile has been studied analytically and numerically at early times while the fluid temperature is relativistic--that…

Astrophysics · Physics 2015-05-13 Margaret Pan , Re'em Sari

Self-similar solution is obtained for propagation of a strong shock, in a flat expanding dusty Friedman universe. Approximate analytic solution was obtained earlier, using relation between self-similar variables, equivalent to the exact…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-24 Gennadiy S. Bisnovatyi-Kogan , Sofya A. Panafidina

We give a new coherent description of the first-order Fermi acceleration of particles in shock waves from the point of view of stochastic process of the individual particles, under the test particle approximation. The time development of…

Astrophysics · Physics 2009-11-07 Tsunehiko N. Kato , Fumio Takahara

In this work we investigate particle acceleration in supernova remnant shocks within a semi-analytical formalism which self-consistently accounts for particle acceleration, amplification of the magnetic field via streaming instability and…

High Energy Astrophysical Phenomena · Physics 2011-03-25 Damiano Caprioli

The study of nonlinear waves that collapse in finite time is a theme of universal interest, e.g. within optical, atomic, plasma physics, and nonlinear dynamics. Here we revisit the quintessential example of the nonlinear Schrodinger…

Pattern Formation and Solitons · Physics 2021-10-13 S. J. Chapman , M. E. Kavousanakis , I. G. Kevrekidis , P. G. Kevrekidis

We investigate relativistic flows after a shock wave generated in a star arrives at the surface. First, the sphericity effect is involved through a successive approximation procedure by adding correction terms to an already known…

Astrophysics · Physics 2008-11-26 Reina Kikuchi , Toshikazu Shigeyama

Density stratification in geophysical environments can be non-uniform, particularly in thermohaline staircases and atmospheric layer transitions. Non-uniform stratification, however, is often approximated by the average ambient density…

Fluid Dynamics · Physics 2020-11-10 G. D. Portwood , S. M. de Bruyn Kops

We experimentally probe nonlinear wave propagation in weakly compressed granular media, and observe a crossover from quasi-linear sound waves at low impact, to shock waves at high impact. We show that this crossover grows with the confining…

Soft Condensed Matter · Physics 2015-06-15 Siet van den Wildenberg , Rogier van Loo , Martin van Hecke

We consider an infinite system of particles on the positive real line, initiated from a Poisson point process, which move according to Brownian motion up until the hitting time of a barrier. The barrier increases when it is hit, allowing…

Probability · Mathematics 2025-07-23 Thomas Blore , D. G. M Flynn , Ben Hambly

We explore an analytic model of the accretion shock in the post bounce phase of a core-collapse supernova explosion. We find growing oscillations of the shock in the l=1 and l=2 modes, in agreement with a variety of existing numerical…

Astrophysics · Physics 2011-02-11 J. Martin Laming

The early phase of the hydrodynamic evolution following collision of two stars is analyzed. Two strong shocks propagate at a constant velocity (which is a small fraction of the velocity of the approaching stars) from the contact surface…

High Energy Astrophysical Phenomena · Physics 2015-06-17 Doron Kushnir , Boaz Katz

Cosmological hydrodynamic simulations have demonstrated that shock waves could be produced in the intergalactic medium by supersonic flow motions during the course of hierarchical clustering of the large-scale-structure in the Universe.…

High Energy Astrophysical Phenomena · Physics 2017-06-13 Hyesung Kang

Core-collapse supernovae span a wide range of energies, from much less than to much greater than the binding energy of the progenitor star. As a result, the shock wave generated from a supernova explosion can have a wide range of Mach…

High Energy Astrophysical Phenomena · Physics 2019-08-07 Stephen Ro , Eric R. Coughlin , Eliot Quataert

The recent discoveries in the theory of diffusive shock acceleration (DSA) that stem from first-principle kinetic plasma simulations are discussed. When ion acceleration is efficient, the back-reaction of non-thermal particles and…

High Energy Astrophysical Phenomena · Physics 2022-09-21 Damiano Caprioli , Colby Haggerty , Pasquale Blasi

In this Letter we describe a novel class of dynamical excitations -- accelerating oscillatory fronts in a new genre of nonlinear sonic vacua with strongly non-local effects. Indeed, it is surprising that such models naturally arise in…

Pattern Formation and Solitons · Physics 2016-04-06 O. V. Gendelman , V. Zolotarevskiy , A. V. Savin , L. A. Bergman , A. F. Vakakis
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