Adiabatic equations of state for intense relativistic particle beams

Siambis, John G.

doi:10.1063/1.862749

Cited by 22 publications

(11 citation statements)

References 7 publications

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“…3,20 Second, one can assume that the third-order moments are negligibly small, drop them from the system of moment equations, and work back from there to solve for the lower-order moments; this is the so-called warm-plasma approximation. [34][35][36] Note that the warm-plasma approximation is basically a low-density/lowtemperature expansion, and not, as stated erroneously in Ref. 26, a representation of an adiabatic process.…”

Section: Hydrodynamic Approach To Wave Breakingmentioning

confidence: 95%

“…In addition, the differences between fully relativistic fluid dynamics and the so-called warm-plasma approximation [34][35][36] ͑which is used when the mean plasma velocity is relativistic, but the thermal velocity spread is not͒ are clarified.…”

Section: Relativistic Fluid Dynamicsmentioning

confidence: 99%

“…An approximation that is used quite often in the theory of relativistic plasma dynamics is the so-called warm-plasma approximation. [34][35][36] In this approximation, it is assumed that the plasma temperature is much smaller than the kinetic energy associated with the mean flow. Among other things, this allows the approximate ͑not exact͒ separation of the internal energy and energy flux into contributions comparable to the nonrelativistic case.…”

Section: ͑1͒mentioning

confidence: 99%

“…It can easily be verified that these expressions satisfy the inequality ͑1͒ for arbitrary values of n p p 0 , rendering this model suitable for the study of wave breaking in both limits ␥ 2 ␤ 1 and ␥ 2 ␤ 1. Next, three models 24-26 based on various warm-plasma approximations [34][35][36] are investigated. The ͑adiabatic͒ pressure terms used in these models all behave like P ϳ n 3 for all n, while showing subtle differences: Reference 24 uses P = ͑␤ /3͒͑n / ␥͒ 3 , where ␥ denotes the Lorentz factor corresponding to the mean flow speed v; Ref.…”

Section: Hydrodynamic Approach To Wave Breakingmentioning

confidence: 99%

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Wave-breaking limits for relativistic electrostatic waves in a one-dimensional warm plasma

Trines

Norreys

2006

Physics of Plasmas

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The propagation of electrostatic plasma waves having relativistic phase speed and amplitude has been studied. The plasma is described as a warm, relativistic, collisionless, nonequilibrium, one-dimensional electron fluid. Wave-breaking limits for the electrostatic field are calculated for nonrelativistic initial plasma temperatures and arbitrary phase velocities, and a correspondence between wave breaking and background particle trapping has been uncovered. Particular care is given to the ultrarelativistic regime (γφ2kBT0∕(mec2)≫1), since conflicting results for this regime have been published in the literature. It is shown here that the ultrarelativistic wave-breaking limit will reach arbitrarily large values for γφ→∞ and fixed initial temperature. Previous results claiming that this limit is bounded even in the limit γφ→∞ are shown to suffer from incorrect application of the relativistic fluid equations and higher, more realistic wave-breaking limits are appropriate.

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Section: Hydrodynamic Approach To Wave Breakingmentioning

confidence: 95%

Section: Relativistic Fluid Dynamicsmentioning

confidence: 99%

Section: ͑1͒mentioning

confidence: 99%

Section: Hydrodynamic Approach To Wave Breakingmentioning

confidence: 99%

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Wave-breaking limits for relativistic electrostatic waves in a one-dimensional warm plasma

Trines

Norreys

2006

Physics of Plasmas

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“…(15,18). Although quantum corrections are found to have a noticeable effect on the unstable spectrum, they do not alter the fastest growing mode.…”

Section: Quantum Effectsmentioning

confidence: 99%

Unstable spectrum of a relativistic electron beam interacting with a quantum collisional plasma: application to the fast ignition scenario

Bret¹,

Fernández²,

Anfray³

2009

Plasma Phys. Control. Fusion

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Abstract. Quantum and collisional effects on the unstable spectrum of a relativistic electron beam-plasma system are investigated through a two-fluids model. Application is made to the near target center interaction of the relativistic electron beam in the Fast Ignition Scenario. Partial degeneracy effects are found negligible while the most influential factors are the beam temperature and the electron-ion collision frequency of the plasma. The introduction of the latter triggers some oblique unstable modes of much larger wave length than the collisionless ones. Transition from the collisionless regime to the resistive one is thus documented and found discontinuous.

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Fluid Models for Relativistic Warm Plasmas

Anile

1989

Accretion Disks and Magnetic Fields in Astrophysics

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Adiabatic equations of state for intense relativistic particle beams

Abstract: Experimental and theoretical study of the equation of state of carbon using an intense beam of relativistic electrons

Cited by 22 publications

References 7 publications

Wave-breaking limits for relativistic electrostatic waves in a one-dimensional warm plasma

Wave-breaking limits for relativistic electrostatic waves in a one-dimensional warm plasma

Unstable spectrum of a relativistic electron beam interacting with a quantum collisional plasma: application to the fast ignition scenario

Fluid Models for Relativistic Warm Plasmas

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