Equilibrium between radiation and matter for classical relativistic multiperiodic systems. II. Study of radiative equilibrium with Rayleigh-Jeans radiation

R. Blanco; L. Pesquera; E. Santos

doi:10.1103/PhysRevD.29.2240

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Equilibrium between radiation and matter for classical relativistic multiperiodic systems. II. Study of radiative equilibrium with Rayleigh-Jeans radiation

R. Blanco, L. Pesquera, and E. Santos

Department de Física Teórica, Universidad de Santander, Santander, Spain

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Phys. Rev. D 29, 2240 – Published 15 May, 1984

DOI: https://doi.org/10.1103/PhysRevD.29.2240

Abstract

We continue the study of the problem of equilibrium between radiation and classical relativistic systems begun previously [Phys. Rev. D 27, 1254 (1983)]. We consider the emission and absorption of energy by a relativistic pointlike particle immersed in a Rayleigh-Jeans radiation field. The particle is acted upon by a force which, if alone, would produce a multiply periodic motion. It is shown that radiative balance at each frequency holds. A discussion is given of the results reported in both papers.

References (16)

R. Blanco, L. Pesquera, and E. Santos, Phys. Rev. D 27, 1254 (1983)
O. Theimer, Phys. Rev. D 4, 1597 (1971) T. H. Boyer, Phys. Rev. 182, 1374 (1969)
T. H. Boyer, Phys. Rev. A 18, 1228 (1978)
L. Pesquera and P. Claverie, J. Math. Phys. 23, 1315 (1982)
T. H. Boyer, Phys. Rev. D 19, 3635 (1979)
T. M. Marshall and P. Claverie, Physica (Utrecht) 104A, 223 (1980)
T. W. Marshall and P. Claverie, J. Math. Phys. 21, 1819 (1980) T. W. Marshall, in Mathematical Theory of Dynamical Systems and Microphysics CISM Lecture Course 261, edited by A. Blaquière, F. Fer, and A. Marzollo (Springer, Berlin, 1980)
V. Arnold, Methodes Mathematiques de la Mécanique Classique (MIR, Moscow, 1976)
J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975)
R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957)
L. Pesquera, Santander thesis, 1980 M. Lax, Rev. Mod. Phys. 38, 541 (1966) P. Claverie, in Proceedings of the Einstein Centennial Symposium on Fundamental Physics, edited by S. Moore (Uniandes, Bogotá, 1981)
N. Van Kampen, Phys. Rep. 24C, 171 (1976)
H. Haken, Rev. Mod. Phys. 47, 67 (1975)
L. de La Peña, J. L. Jimenez, and R. Montemayor, Nuovo Cimento 69B, 71 (1982)
N. G. Van Kampen, Physica (Utrecht) 74, 215 (1974) ibid.74, 239 (1974)
L. de la Peña (unpublished)

[c1] R. Blanco, L. Pesquera, and E. Santos, Phys. Rev. D 27, 1254 (1983)

[c2] O. Theimer, Phys. Rev. D 4, 1597 (1971) T. H. Boyer, Phys. Rev. 182, 1374 (1969)

[c3] T. H. Boyer, Phys. Rev. A 18, 1228 (1978)

[c4] L. Pesquera and P. Claverie, J. Math. Phys. 23, 1315 (1982)

[c5] T. H. Boyer, Phys. Rev. D 19, 3635 (1979)

[c6] T. M. Marshall and P. Claverie, Physica (Utrecht) 104A, 223 (1980)

[c7] T. W. Marshall and P. Claverie, J. Math. Phys. 21, 1819 (1980) T. W. Marshall, in Mathematical Theory of Dynamical Systems and Microphysics CISM Lecture Course 261, edited by A. Blaquière, F. Fer, and A. Marzollo (Springer, Berlin, 1980)

[c8] V. Arnold, Methodes Mathematiques de la Mécanique Classique (MIR, Moscow, 1976)

[c9] J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975)

[c10] R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957)

[c11] L. Pesquera, Santander thesis, 1980 M. Lax, Rev. Mod. Phys. 38, 541 (1966) P. Claverie, in Proceedings of the Einstein Centennial Symposium on Fundamental Physics, edited by S. Moore (Uniandes, Bogotá, 1981)

[c12] N. Van Kampen, Phys. Rep. 24C, 171 (1976)

[c13] H. Haken, Rev. Mod. Phys. 47, 67 (1975)

[c14] L. de La Peña, J. L. Jimenez, and R. Montemayor, Nuovo Cimento 69B, 71 (1982)

[c15] N. G. Van Kampen, Physica (Utrecht) 74, 215 (1974) ibid.74, 239 (1974)

[c16] L. de la Peña (unpublished)

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Equilibrium between radiation and matter for classical relativistic multiperiodic systems. II. Study of radiative equilibrium with Rayleigh-Jeans radiation

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