Relativistic fluid equations for intense electron beams

Siambis, John G.

doi:10.1063/1.866343

Cited by 12 publications

(11 citation statements)

References 7 publications

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“…We will assume a "warm" plasma such that the distribution f has a small momentum spread about its mean [14][15][16][17]. We make no additional assumptions concerning the specific form of f .…”

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confidence: 99%

“…Note that ǫ is a Lorentz invariant and ǫ 2 ≪ 1 is satisfied if the local rest frame temperature of the plasma is nonrelativistic. We consider the ratio λ = n p /h [14,16], where n p = (J µ J µ ) 1/2 is the proper density, and introduce (λΓ, λΓw)…”

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confidence: 99%

“…where f (x, p, t) is the phase space density, We consider the following centered moments of the phase-space distribution [14][15][16]:…”

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confidence: 99%

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Warm wave breaking of nonlinear plasma waves with arbitrary phase velocities

2005

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A warm, relativistic fluid theory of a nonequilibrium, collisionless plasma is developed to analyze nonlinear plasma waves excited by intense drive beams. The maximum amplitude and wavelength are calculated for nonrelativistic plasma temperatures and arbitrary plasma wave phase velocities.The maximum amplitude is shown to increase in the presence of a laser field. These results set a limit to the achievable gradient in plasma-based accelerators.

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Warm wave breaking of nonlinear plasma waves with arbitrary phase velocities

2005

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“…The space-time metric tensor g µν for the following covariant formulation has the convention g µν = diag(1, −1, −1, −1). Following previous relativistic fluid formulations [21][22][23][24], consider the following moments of the phase-space distribution:…”

Section: Relativistic Fluid Equationsmentioning

confidence: 99%

Relativistic warm plasma theory of nonlinear laser-driven electron plasma waves

Schroeder

2009

J. Phys.: Conf. Ser.

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A relativistic, warm fluid model of a nonequilibrium, collisionless plasma is developed and applied to examine nonlinear Langmuir waves excited by relativistically-intense, short-pulse lasers. Closure of the covariant fluid theory is obtained via an asymptotic expansion assuming a non-relativistic plasma temperature. The momentum spread is calculated in the presence of an intense laser field and shown to be intrinsically anisotropic. Coupling between the transverse and longitudinal momentum variances is enabled by the laser field. A generalized dispersion relation is derived for langmuir waves in a thermal plasma in the presence of an intense laser field. Including thermal fluctuations in three velocity-space dimensions, the properties of the nonlinear electron plasma wave, such as the plasma temperature evolution and nonlinear wavelength, are examined, and the maximum amplitude of the nonlinear oscillation is derived. The presence of a relativistically intense laser pulse is shown to strongly influence the maximum plasma wave amplitude for non-relativistic phase velocities owing to the coupling between the longitudinal and transverse momentum variances.

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“…24,29 By assuming that the plasma is "warm", such that the phase-space distribution has a small momentum spread about its mean, allows the hierarchy of moment equations to be treated asymptotically. [29][30][31][32][33] No additional assumptions concerning the specific form of the distribution are required for closure of the fluid equations. Assuming the quasi-static approximation, 34 i.e., the plasma wave driver and fluid quantities are assumed to be functions only of the co-moving variable ξ = z − β ϕ ct (where z is the driver propagation direction), the fluid equations can be combined to yield the evolution equation for the nonlinear 1D plasma response 24…”

Section: Warm Wavebreakingmentioning

confidence: 99%

Thermal effects in plasma-based accelerators

et al. 2007

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Finite plasma temperature can modify the structure of the wakefield, reduce the wavebreaking field, and lead to self-trapped electrons, which can degrade the electron bunch quality in a plasmabased accelerator. The plasma temperature evolution is described using a relativistic warm fluid theory. Alterations to the maximum amplitude of a nonlinear periodic wave exited in a plasma with nonrelativistic temperatures are presented. The trapping threshold for a plasma electron and the fraction of electrons trapped from a thermal distribution are examined using on a single-particle model. Numerical artifacts in particle-in-cell models which can mimic the physics associated with finite momentum spread are discussed.

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Relativistic fluid equations for intense electron beams

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

Cited by 12 publications

References 7 publications

Warm wave breaking of nonlinear plasma waves with arbitrary phase velocities

Warm wave breaking of nonlinear plasma waves with arbitrary phase velocities

Relativistic warm plasma theory of nonlinear laser-driven electron plasma waves

Thermal effects in plasma-based accelerators

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