scholarly journals Relativistic shock waves induced by ultra-high laser pressure

2014 ◽  
Vol 32 (2) ◽  
pp. 243-251 ◽  
Author(s):  
Shalom Eliezer ◽  
Noaz Nissim ◽  
Erez Raicher ◽  
José Maria Martínez-Val
Keyword(s):  
Shock Wave ◽  
Shock Waves ◽  
Laser Irradiance ◽  
Compression Pressure ◽  
Relativistic Shock ◽  
Electron Positron ◽  
High Laser ◽  
Wave Compression ◽  
The One ◽  
First Time

AbstractThis paper analyzes the one dimensional shock wave created in a planar target by the ponderomotive force induced by very high laser irradiance. The laser-induced relativistic shock wave parameters, such as compression, pressure, shock wave and particle flow velocities, sound velocity and temperature are calculated here for the first time in the context of relativistic hydrodynamics. For solid targets and laser irradiance of about 2 × 1024 W/cm2, the shock wave velocity is larger than 50% of the speed of light, the shock wave compression is larger than 4 (usually of the order of 10) and the targets have a pressure of the order of 1015 atmospheres. The estimated temperature can be larger than 1 MeV in energy units and therefore very excited physics (like electron positron formation) is expected in the shocked area. Although the next generation of lasers might allow obtaining relativistic shock waves in the laboratory this possibility is suggested in this paper for the first time.

scholarly journals Ultrafast ignition with relativistic shock waves induced by high power lasers

2014 ◽  
Vol 2 ◽  
Author(s):  
Shalom Eliezer ◽  
Noaz Nissim ◽  
Shirly Vinikman Pinhasi ◽  
Erez Raicher ◽  
José Maria Martinez Val
Keyword(s):  
Shock Wave ◽  
Shock Waves ◽  
Radiation Pressure ◽  
Ponderomotive Force ◽  
Relativistic Hydrodynamics ◽  
Pressure Shock ◽  
Compression Pressure ◽  
High Power Lasers ◽  
Relativistic Shock ◽  
Wave Induced

Abstract In this paper we consider laser intensities greater than $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}10^{16}\ \mathrm{W\ cm}^{-2}$ where the ablation pressure is negligible in comparison with the radiation pressure. The radiation pressure is caused by the ponderomotive force acting mainly on the electrons that are separated from the ions to create a double layer (DL). This DL is accelerated into the target, like a piston that pushes the matter in such a way that a shock wave is created. Here we discuss two novel ideas. Firstly, the transition domain between the relativistic and non-relativistic laser-induced shock waves. Our solution is based on relativistic hydrodynamics also for the above transition domain. The relativistic shock wave parameters, such as compression, pressure, shock wave and particle flow velocities, sound velocity and rarefaction wave velocity in the compressed target, and temperature are calculated. Secondly, we would like to use this transition domain for shock-wave-induced ultrafast ignition of a pre-compressed target. The laser parameters for these purposes are calculated and the main advantages of this scheme are described. If this scheme is successful a new source of energy in large quantities may become feasible.

Discussion on plasma shock waves generated by high-power pulsed laser

2003 ◽  
Vol 793 ◽  
Author(s):  
ZhiHua Li ◽  
DuanMing Zhang ◽  
Li Guan
Keyword(s):  
Shock Wave ◽  
Shock Waves ◽  
Pulsed Laser ◽  
Point Explosion ◽  
Propagation Characteristics ◽  
The Difference ◽  
Plasma Shock Wave ◽  
First Time ◽  
Plasma Shock ◽  
The Ideal

ABSTRACTSedov-Taylor theory is modified to describe plasma shock waves generated in a pulsed laser ablating process. Under the reasonable asymptotic behavior and boundary conditions, the propagating rules in the global free space (including close areas and mid-far areas) of pulsed-laser-induced shock waves are established for the first time. In particular, the temporal behavior of energy causing the difference of the propagation characteristics between the practical plasma shock wave and the ideal shock wave in point explosion model is discussed in detail.

Reconsideration of oblique shock wave reflections in steady flows. Part 2. Numerical investigation

1995 ◽  
Vol 301 ◽  
pp. 37-50 ◽  
Author(s):  
J. Vuillon ◽  
D. Zeitoun ◽  
G. Ben-Dor
Keyword(s):  
Shock Wave ◽  
Shock Waves ◽  
Numerical Investigation ◽  
State Of The Art ◽  
Oblique Shock Wave ◽  
Bottom Surface ◽  
Steady Flows ◽  
Wave Reflections ◽  
The One ◽  
Reflecting Surfaces

The reflection of shock waves over straight reflecting surfaces in steady flows was investigated numerically with the aid of the LCPFCT algorithm. The findings completely supported the experimental results which were reported in Part 1 of this paper (Chpoun et al. 1995). In addition, the dependence of the resulting shock wave configuration on the distance between the trailing edge of the reflecting wedge and the bottom surface, inside the dual-solution domain, was studied. As a result of this study, as well as the one reported in Part 1, the state of the art of shock wave reflections in steady flows was reconsidered.

scholarly journals Relativistic shock waves in the laboratory

2013 ◽  
Vol 31 (1) ◽  
pp. 113-122 ◽  
Author(s):  
Shalom Eliezer ◽  
Jose Maria Martinez Val ◽  
Shirly Vinikman Pinhasi
Keyword(s):  
Fluid Dynamics ◽  
Shock Wave ◽  
Shock Waves ◽  
Ponderomotive Force ◽  
High Power Lasers ◽  
Relativistic Fluid Dynamics ◽  
Wave Velocities ◽  
Relativistic Shock ◽  
Relativistic Fluid ◽  
Recent Developments

AbstractDue to the recent developments in high power lasers in the multi-petawatt domain it seems now feasible to accelerate a micro-foil to relativistic velocities. In this paper, we calculate analytically the high velocities achieved by the ponderomotive force of the irradiating laser. The accelerated foil collides with a second foil resulting in the creation of the relativistic shock waves. The density, pressure, temperature, and shock wave velocities are calculated within the context of relativistic fluid dynamics. The calculated thermodynamic parameters that are achieved in these collisions are enormous.

scholarly journals Triangular Gross-Pitaevskii breathers and Damski-Chandrasekhar shock waves

2021 ◽  
Vol 10 (5) ◽  
Author(s):  
Maxim Olshanii ◽  
Dumesle Deshommes ◽  
Jordi Torrents ◽  
Marina Gonchenko ◽  
Vanja Dunjko ◽  
...  
Keyword(s):  
Shock Wave ◽  
Shock Waves ◽  
Initial Conditions ◽  
Broad Class ◽  
Hydrodynamic Equations ◽  
Nonlinear Transport ◽  
One Dimensional ◽  
Nonlinear Transport Equation ◽  
Bosonic Case ◽  
The One

The recently proposed map [5] between the hydrodynamic equations governing the two-dimensional triangular cold-bosonic breathers [1] and the high-density zero-temperature triangular free-fermionic clouds, both trapped harmonically, perfectly explains the former phenomenon but leaves uninterpreted the nature of the initial (t=0) singularity. This singularity is a density discontinuity that leads, in the bosonic case, to an infinite force at the cloud edge. The map itself becomes invalid at times t<0t<0. A similar singularity appears at t = T/4t=T/4, where T is the period of the harmonic trap, with the Fermi-Bose map becoming invalid at t > T/4t>T/4. Here, we first map—using the scale invariance of the problem—the trapped motion to an untrapped one. Then we show that in the new representation, the solution [5] becomes, along a ray in the direction normal to one of the three edges of the initial cloud, a freely propagating one-dimensional shock wave of a class proposed by Damski in [7]. There, for a broad class of initial conditions, the one-dimensional hydrodynamic equations can be mapped to the inviscid Burgers’ equation, which is equivalent to a nonlinear transport equation. More specifically, under the Damski map, the t=0 singularity of the original problem becomes, verbatim, the initial condition for the wave catastrophe solution found by Chandrasekhar in 1943 [9]. At t=T/8t=T/8, our interpretation ceases to exist: at this instance, all three effectively one-dimensional shock waves emanating from each of the three sides of the initial triangle collide at the origin, and the 2D-1D correspondence between the solution of [5] and the Damski-Chandrasekhar shock wave becomes invalid.

scholarly journals Physics and applications with laser-induced relativistic shock waves

2016 ◽  
Vol 4 ◽  
Author(s):  
S. Eliezer ◽  
J. M. Martinez-Val ◽  
Z. Henis ◽  
N. Nissim ◽  
S. V. Pinhasi ◽  
...  
Keyword(s):  
Shock Wave ◽  
Shock Waves ◽  
Detonation Wave ◽  
Bulk Material ◽  
High Irradiance ◽  
Alpha Particles ◽  
Relativistic Shock ◽  
Laser Acceleration ◽  
The Creation ◽  
Special Case

The laser-induced relativistic shock waves are described. The shock waves can be created directly by a high irradiance laser or indirectly by a laser acceleration of a foil that collides with a second static foil. A special case of interest is the creation of laser-induced fusion where the created alpha particles create a detonation wave. A novel application is suggested with the shock wave or the detonation wave to ignite a pre-compressed target. In particular, the deuterium–tritium fusion is considered. It is suggested that the collision of two laser accelerated foils might serve as a novel relativistic accelerator for bulk material collisions.

scholarly journals On the evolution of shock-waves in mathematical models of the aorta

1981 ◽  
Vol 22 (3) ◽  
pp. 257-269 ◽  
Author(s):  
L. K. Forbes
Keyword(s):  
Shock Wave ◽  
Blood Flow ◽  
Shock Waves ◽  
Gas Dynamics ◽  
Pulse Propagation ◽  
One Dimensional ◽  
Flow Models ◽  
Wave Development ◽  
Blood Flow Models ◽  
The One

AbstractThe one-dimensional, non-linear theory of pulse propagation in large arteries is examined in the light of the analogy which exists with gas dynamics. Numerical evidence for the existence of shock-waves in current one-dimensional blood-flow models is presented. Some methods of suppressing shock-wave development in these models are indicated.

Relativistic shock waves in an electron–positron plasma

1995 ◽  
Vol 2 (12) ◽  
pp. 4462-4469 ◽  
Author(s):  
Levan N. Tsintsadze
Keyword(s):  
Shock Waves ◽  
Relativistic Shock ◽  
Electron Positron
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