Effects of hyperbolic rotation in Minkowski space on the modeling of plasma accelerators in a Lorentz boosted frame

Vay, J.-L.; Geddes, C. G. R.; Cormier-Michel, E.; Grote, D. P.
March 2011
Physics of Plasmas;Mar2011, Vol. 18 Issue 3, p030701
Academic Journal
The effects of hyperbolic rotation in Minkowski space resulting from the use of Lorentz boosted frames of calculation on laser propagation in plasmas are analyzed. Selection of a boost frame at the laser group velocity is shown to alter the laser spectrum, allowing the use of higher boost velocities. The technique is applied to simulations of laser driven plasma wakefield accelerators, which promise much smaller machines and whose development requires detailed simulations that challenge or exceed current capabilities. Speedups approaching the theoretical optima are demonstrated, producing the first direct simulations of stages up to 1 TeV. This is made possible by a million times speedup thanks to a frame boost with a relativistic factor γb as high as 1300, taking advantage of the rotation to mitigate an instability that limited previous work.


Related Articles

  • Grey Polynomial Model. Cheng-Hsiung Hsieh; Heng-Chou Chen // Journal of Grey System;2007, Vol. 19 Issue 3, p203 

    In this paper, a grey polynomial model is proposed. In the GM(1,1) modeling, it is assumed that the data after 1-AGO (first-order accumulated generating operation) is of exponential-like form. The 1-AGO preprocessed data are then fit by a first-order difference equation. However, in many cases...

  • Two-dimensional Riemann problems for the compressible Euler system. Yuxi ZHENG // Chinese Annals of Mathematics;Oct2009, Vol. 30 Issue 6, p845 

    Riemann problems for the compressible Euler system in two space dimensions are complicated and difficult, but a viable alternative remains missing. The author lists merits of one-dimensional Riemann problems and compares them with those for the current two-dimensional Riemann problems, to...

  • On the instantaneous screw axes of two parameter motions in Lorentzian space. Karacan, Murat Kemal; Kula, Levent // Scientia Magna;2009, Vol. 5 Issue 1, p64 

    In this study two parameter motion is given by using the rank of rotation matrix in Lorentzian space. It is shown locus of instantaneous screw axis is a ruled surface at any position of (λ, μ) = (0; 0).

  • The Poisson-exponential regression model under different latent activation schemes. LOUZADA, FRANCISCO; CANCHO, VICENTE G.; BARRIGA, GLADYS D. C. // Computational & Applied Mathematics;2012, Vol. 31 Issue 3, p617 

    In this paper, a new family of survival distributions is presented. It is derived by considering that the latent number of failure causes follows a Poisson distribution and the time for these causes to be activated follows an exponential distribution. Three different activation schemes are also...

  • A new bivariate exponential distribution for modeling moderately negative dependence. Mohsin, Muhammad; Kazianka, Hannes; Pilz, Jürgen; Gebhardt, Albrecht // Statistical Methods & Applications;Mar2014, Vol. 23 Issue 1, p123 

    This paper introduces a new bivariate exponential distribution, called the Bivariate Affine-Linear Exponential distribution, to model moderately negative dependent data. The construction and characteristics of the proposed bivariate distribution are presented along with estimation procedures for...

  • Surface elasticity effect on the size-dependent elastic property of nanowires. Yao, Haiyan; Yun, Guohong; Bai, Narsu; Li, Jiangang // Journal of Applied Physics;Apr2012, Vol. 111 Issue 8, p083506 

    A modified core-shell (MC-S) model is proposed to investigate the effect of surface elasticity on the elastic properties of nanowires under bending and tension loading modes. The continuous exponential function based on bulk elasticity is applied to the surface region of nanowires to better...

  • On Some Layer-Based Risk Measures with Applications to Exponential Dispersion Models. Furman, Olga; Furman, Edward // Journal of Probability & Statistics;2010, p1 

    Layer-based counterparts of a number of well-known risk measures have been proposed and studied. Namely, some motivations and elementary properties have been discussed, and the analytic tractability has been demonstrated by developing closed-form expressions in the general framework of...

  • Fourier transforms of Lorentz invariant functions. Wurm, Alexander; Krausz, Nurit; DeWitt-Morette, Cécile; Berg, Marcus // Journal of Mathematical Physics;Jan2003, Vol. 44 Issue 1, p352 

    Fourier transforms of Lorentz invariant functions in Minkowski space, with support on both the timelike and the spacelike domains are performed by means of direct integration. The cases of 1 + 1 and 1 + 2 dimensions are worked out in detail, and the results for 1 + n dimensions are given.

  • Conservation form of Helbing's fluid dynamic traffic flow model. Li, Shu-feng; Zhang, Peng; Wong, S. // Applied Mathematics & Mechanics;Sep2011, Vol. 32 Issue 9, p1109 

    A standard conservation form is derived in this paper. The hyperbolicity of Helbing's fluid dynamic traffic flow model is proved, which is essential to the general analytical and numerical study of this model. On the basis of this conservation form, a local discontinuous Galerkin scheme is...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics