Fetching the paper…

Reading the bibliography…

2021

Exact solutions in radiation reaction and the radiation-free direction

Ekman, Robin, Heinzl, Tom, Ilderton, Anton

Original
PDF
Post on X

Understand

We present new exact solutions of the Landau-Lifshitz and higher-order Landau-Lifshitz equations describing particle motion, with radiation reaction, in intense electromagnetic fields.

Through these solutions and others we compare the phenomenological predictions of different equations in the context of the conjectured `radiation-free direction' (RFD).
We confirm analytically in several cases that particle orbits predicted by the Landau-Lifshitz equation indeed approach the RFD at extreme intensities, and give time-resolved signals of this behaviour in radiation spectra.

Exact solutions in radiation reaction and the radiation-free direction · Around

Built on

D. Seipt and A. G. R. Thomas, Plasma Phys. Control. Fusion 61
Original
1903
Earlier work this paper cites.
M. Abraham, Theorie der Elektrizität (Teubner, Leipzig, 1905)
1905
Earlier work this paper cites.
H. A. Lorentz, The Theory of Electrons (Teubner, Leipzig, 1909)
1909
Earlier work this paper cites.
T. G. Blackburn, Rev. Mod. Plasma Phys. 4
Original
1910
Earlier work this paper cites.
P. A. M. Dirac, Proc. Roy. Soc. A 167
1938
Earlier work this paper cites.
C. Eliezer, Proc. Roy. Soc. A 194
1948
Earlier work this paper cites.
P. A. M. Dirac, Rev. Mod. Phys. 21
1949
Earlier work this paper cites.
T. Fulton and F. Rohrlich, Ann. Phys. (N.Y.) 9
1960
Earlier work this paper cites.
G. N. Plass, Rev. Mod. Phys. 33
1961
Earlier work this paper cites.
T. W. B. Kibble, Phys. Rev. 138
1965
Earlier work this paper cites.
T. C. Mo and C. H. Papas, Phys. Rev. D 4
1971
Earlier work this paper cites.
H. Heintzmann and M. Grewing, Z. Phys. 251
1972
Earlier work this paper cites.
L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Butterworth-Heinemann, 1975)
1975
Earlier work this paper cites.
G. Ford and R. O’Connell, Phys. Lett. A 157
1991
Earlier work this paper cites.
V. Krivitsky and V. Tsytovich, Sov. Phys. Usp. 34
1991
Earlier work this paper cites.
R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey, and D. E. Knuth, Adv. Comput. Math. 5
1996
Earlier work this paper cites.
J. Schwinger, L. L. DeRaad, K. Milton, and W.-Y. Tsai, Classical electrodynamics (Westview Press, Boulder, Colorado, 1998)
1998
Earlier work this paper cites.
G. Ares de Parga and R. Mares, J. Math. Phys. 40
1999
Earlier work this paper cites.
T. N. Tomaras, N. C. Tsamis, and R. P. Woodard, Phys. Rev. D 62
2000
Earlier work this paper cites.
S. Meuren et al. , On Seminal HEDP Research Opportunities Enabled by Colocating Multi-Petawatt Laser with High-Density Electron Beams (2020), arXiv:2002.10051 [physics.plasm-ph]
Original
2002
Earlier work this paper cites.
R. P. Woodard, Nucl. Phys. B Proc. Suppl. 108
2002
Earlier work this paper cites.

Similar

A. Polyanin and V. Zaitsev, Handbook of Exact Solutions for Ordinary Differential Equations , 2nd ed. (Chapman and Hall/CRC, 2002)
2002
Cited alongside, same era.
R. Rivera and D. Villarroel, Phys. Rev. E 66
2002
Cited alongside, same era.
A. A. Mironov, S. Meuren, and A. M. Fedotov, Phys. Rev. D 102
Original
2003
Cited alongside, same era.
A. Higuchi, Phys. Rev. D 66
2004
Cited alongside, same era.
F. Li, V. K. Decyk, K. G. Miller, A. Tableman, F. S. Tsung, M. Vranic, R. A. Fonseca, and W. B. Mori, Accurately simulating nine-dimensional phase space of relativistic particles in strong fields (2020), arXiv:2007.07556 [physics.comp-ph]
Original
2007
Cited alongside, same era.

Then

M. Vranic, J. L. Martins, J. Vieira, R. A. Fonseca, and L. O. Silva, Phys. Rev. Lett. 113
Original
2014
Later among the works it cites.
D. A. Burton and A. Noble, Contemp. Phys. 55
Original
2014
Later among the works it cites.
A. Gonoskov, A. Bashinov, I. Gonoskov, C. Harvey, A. Ilderton, A. Kim, M. Marklund, G. Mourou, and A. Sergeev, Phys. Rev. Lett. 113
Original
2014
Later among the works it cites.
V. G. Bagrov and D. Gitman, The Dirac Equation and its Solutions , De Gruyter Studies in Mathematical Physics, Vol. 4 (De Gruyter, 2014)
2014
Later among the works it cites.
A. Gonoskov, S. Bastrakov, E. Efimenko, A. Ilderton, M. Marklund, I. Meyerov, A. Muraviev, A. Sergeev, I. Surmin, and E. Wallin, Phys. Rev. E 92
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

C. F. Nielsen, J. B. Justesen, A. H. Sørensen, U. I. Uggerhøj, and R. Holtzapple, Phys. Rev. D 102

2008

Cited alongside, same era.

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nature Photonics 2

2008

Cited alongside, same era.

A. Di Piazza, Lett. Math. Phys. 83

2008

Cited alongside, same era.

S. G. Rajeev, Ann. Phys. (N.Y.) 323

2008

Cited alongside, same era.

A. Di Piazza, K. Z. Hatsagortsyan, and C. H. Keitel, Phys. Rev. Lett. 102

2009

Cited alongside, same era.

J. P. Edwards and A. Ilderton, Phys. Rev. D 103

2010

Cited alongside, same era.

S. V. Bulanov, T. Z. Esirkepov, M. Kando, J. K. Koga, and S. S. Bulanov, Phys. Rev. E 84

2011

Cited alongside, same era.

2015

Later among the works it cites.

V. Dinu, C. Harvey, A. Ilderton, M. Marklund, and G. Torgrimsson, Phys. Rev. Lett. 116

2016

Later among the works it cites.

T. C. Adorno, S. P. Gavrilov, and D. M. Gitman, Eur. Phys. J. C 76

2016

Later among the works it cites.

S. V. Bulanov, T. Z. Esirkepov, J. K. Koga, S. S. Bulanov, Z. Gong, X.-Q. Yan, and M. Kando, J. Plasma Phys. 83

2017

Later among the works it cites.

T. Heinzl and A. Ilderton, Phys. Rev. Lett. 118

2017

Later among the works it cites.

J. M. Cole, K. T. Behm, E. Gerstmayr, T. G. Blackburn, J. C. Wood, C. D. Baird, M. J. Duff, C. Harvey, A. Ilderton, A. S. Joglekar, K. Krushelnick, S. Kuschel, M. Marklund, P. McKenna, C. D. Murphy, K. Poder, C. P. Ridgers, G. M. Samarin, G. Sarri, D. R. Symes, A. G. R. Thomas, J. Warwick, M. Zepf, Z. Najmudin, and S. P. D. Mangles, Phys. Rev. X 8

2018

Later among the works it cites.

K. Poder, M. Tamburini, G. Sarri, A. Di Piazza, S. Kuschel, C. D. Baird, K. Behm, S. Bohlen, J. M. Cole, D. J. Corvan, M. Duff, E. Gerstmayr, C. H. Keitel, K. Krushelnick, S. P. D. Mangles, P. McKenna, C. D. Murphy, Z. Najmudin, C. P. Ridgers, G. M. Samarin, D. R. Symes, A. G. R. Thomas, J. Warwick, and M. Zepf, Phys. Rev. X 8

2018

Later among the works it cites.

E. Gelfer, N. Elkina, and A. Fedotov, Sci. Rep. 8

2018

Later among the works it cites.

A. Gonoskov and M. Marklund, Phys. Plasmas 25

2018

Later among the works it cites.

A. Di Piazza, Phys. Lett. B 782

2018

Later among the works it cites.

C. D. Baird, C. D. Murphy, T. G. Blackburn, A. Ilderton, S. P. D. Mangles, M. Marklund, and C. P. Ridgers, N. J. Phys. 21

2019

Later among the works it cites.

C. N. Danson et al. , High Power Laser Sci. Eng. 7

2019

Later among the works it cites.

T. Nakamura, Phys. Rev. E 102

2020

Later among the works it cites.

H. Abramowicz et al. , Conceptual Design Report for the LUXE Experiment (2021), arXiv:2102.02032 [hep-ex]

2021

Closest in time.

T. Heinzl, A. Ilderton, and B. King, (2021), arXiv:2101.12111 [hep-ph]

2021

Closest in time.

A. Di Piazza and G. Audagnotto, Analytical Spectrum of Nonlinear Thomson Scattering Including Radiation Reaction (2021), arXiv:2102.11260 [hep-ph]

2021

Closest in time.

G. Torgrimsson, Resummation of quantum radiation reaction in plane waves (2021), arXiv:2102.11346 [hep-ph]

2021

Closest in time.