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Free energies of magnetic and density phases in a magnetized degenerate electron gas from exact, nonanalytic equations of state

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Abstract

A complete description of the thermodynamics of the phases of a magnetized, degenerate electron gas is obtained by calculating a generalized free energy as a function of its natural variablesT, μ,H from the exact (nonanalytic) equations of state. This gives a detailed description of the phase transitions into magnetic and density domains around each Landau level. An application to degenerate stars is sketched. Suggested direct and indirect methods for observing these domains in metals and in stars will be briefly reviewed. The inseparably connected degeneracy-inhibition effect could have observable effects on stellar structure for strong enoughB.

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References

  1. H. B. Callen,Thermodynamics (Wiley, New York, 1960), Chapter 8.

    Google Scholar 

  2. H. B. Callen,Thermodynamics and an Introduction to Thermostatics, 2nd ed. (Wiley, New York, 1985), Chapter 8.

    Google Scholar 

  3. L. Landau and E. Lifshitz,Electrodynamics of Continuous Media (Pergamon, New York, 1960), Sections 18, 30.

    Google Scholar 

  4. J. Condon,Phys. Rev. 145, 526 (1966).

    Google Scholar 

  5. M. Azbel',Phys. Rev. B 30, 2273 (1984).

    Google Scholar 

  6. I. M. Lifshitz, M. Ya. Azbel', and M. J. Kaganov,Electron Theory of Metals (Consultants Bureau, New York, 1973), Section 20.

    Google Scholar 

  7. D. Schoenberg,Magnetic Oscillations in Metals (Cambridge University Press, Cambridge, 1984), Chapter 6.

    Google Scholar 

  8. E. Titchmarsh,Introduction to the Theory of Fourier Integrals, 2nd ed. (Oxford University Press, New York, 1948), Section 2.8.

    Google Scholar 

  9. R. L. Ingraham,Astrophys. J. 309, 628 (1986).

    Google Scholar 

  10. R. L. Ingraham and J. M. Wilkes,Astrophys. Space Sci. 135, 87 (1987), Section 3.

    Google Scholar 

  11. D. Adam,Astron. Astrophys. 160, 95 (1986).

    Google Scholar 

  12. R. L. Ingraham and J. M. Wilkes, Ripple structure in degenerate electron gas stars with intense magnetic fields,Astrophys. J. (submitted).

  13. E. Salpeter,Astrophys. J. 134, 669 (1961).

    Google Scholar 

  14. S. Shapiro and S. Teukolsky,Black Holes, White Dwarfs, and Neutron Stars (Wiley-Interscience, New York, 1983), Section 2.4.

    Google Scholar 

  15. J. M. Wilkes and R. L. Ingraham,Astrophysics J. (submitted).

  16. R. D. Blandford and L. Hernquist,Sol. Stat. Phys. (c)15, 6233 (1982), Section 5.

    Google Scholar 

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Ingraham, R.L. Free energies of magnetic and density phases in a magnetized degenerate electron gas from exact, nonanalytic equations of state. J Low Temp Phys 72, 477–497 (1988). https://doi.org/10.1007/BF00682155

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  • DOI: https://doi.org/10.1007/BF00682155

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