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Superluminal Sound and Ferromagnetic Transition in the Zeldovich Model

Published online by Cambridge University Press:  14 August 2015

G. Kalman
Affiliation:
Dept. of Physics, Boston College, Chestnut Hill, Mass. 02167, U.S.A.
S. T. Lai
Affiliation:
Dept. of Physics, Boston College, Chestnut Hill, Mass. 02167, U.S.A.

Abstract

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The implications of the Zeldovich model (baryons interacting through a massive vector field) for the problem of superluminal sound propagation and ferromagnetic transition are examined. In a classical baryon gas at high densities correlation effects lead to the pressure increasing faster than the energy, ultimately resulting in superluminal sound; crystallization phase transition appears however at comparable densities, thus competing with the onset of superluminal sound. For a high density fermi gas the domains of ferromagnetic transition are delineated, indicating a minimal and maximal density below and above which no ferromagnetic transition can be expected. The latter is further affected by relativistic effects requiring a different approach to the calculation of exchange energy and of the ferromagnetic phase.

Type
Research Article
Copyright
Copyright © Reidel 1974 

References

Abe, R.: 1959, Prog. Theor. Phys. Kyoto 22, 213.CrossRefGoogle Scholar
Barker, B. M., Bhatia, M. S., and Szamosi, G.: 1967, Nuovo Cimento 52B, 355.CrossRefGoogle Scholar
Bludman, S. A. and Ruderman, M. A.: 1968, Phys. Rev. 170, 1176.Google Scholar
Brout, R. and Carruthers, P.: 1963, Lectures on Many-Electron Problems, Interscience, New York.Google Scholar
Gartenhaus, S. and Stranahan, G.: 1965a, Phys. Rev. Letters 14, 341.Google Scholar
Gartenhaus, S. and Stranahan, G.: 1965b, Phys. Rev. Letters 14, 621.Google Scholar
Golden, K. J. and Kalman, G.: 1969, J. Stat. Phys. 1, 415.Google Scholar
Kalman, G.: 1967, Phys. Rev. 158, 144.Google Scholar
Kalman, G. and Lai, S. T.: 1971, Phys. Letters 34A, 75.Google Scholar
Kalman, G. and Lai, S. T.: 1972a, The Problem of Exchange Energy in a Relativistic Electron Gas, paper presented at the Spring Meeting of The American Physical Society, New England Section.Google Scholar
Kalman, G. and Lai, S. T.: 1972b, Ann. Phys. (N.Y.) 73, 19.CrossRefGoogle Scholar
Kubo, R.: 1957, J. Phys. Soc. Japan 12, 570.Google Scholar
Lai, S. T.: 1970, .Google Scholar
Landau, L. D. and Lifshitz, E. M.: 1959, Statistical Physics, Pergamon Press, New York.Google Scholar
Rohrlich, F.: 1965, Classical Charged Particles, Addison Wesley, Reading.Google Scholar
Ruderman, M. A.: 1968, Phys. Rev. 172, 1286.Google Scholar
Salpeter, E. E.: 1961, Astrophys. J. 134, 669.Google Scholar
Sitenko, A. G.: 1967, Electromagnetic Fluctuations in Plasmas, Academic Press, New York.Google Scholar
Zapolsky, H.: 1960, Cornell University Report (unpublished).Google Scholar
Zeldovich, Ya. B.: 1962, Soviet Phys. JETP 14, 1143.Google Scholar