Skip to main content

Phase Transition and Stability of Matter

  • Chapter
Book cover Electron Liquids

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 96))

  • 230 Accesses

Abstract

This chapter deals with such fascination subjects as the crystallization of electrons and the stability of matter. Do electrons crystallize? If so, what are their properties? How can matter consisting of positive and negative charges exist without collapsing? These fundamental and intriguing questions make the theory of electrons very attractive and important.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E. P. Wigner: Phys. Rev. 46, 1002 (1934);

    Article  ADS  MATH  Google Scholar 

  2. E. P. Wigner: Trans Faraday Soc. 34, 678 (1938)

    Article  Google Scholar 

  3. C. C. Grimes, G. Adams: Phys Rev. Lett. 42, 795 (1979)

    Article  ADS  Google Scholar 

  4. J. M. Kosterlitz, D. J. Thouless: J. Phys. C6, 1181 (1973); D. J. Thouless: J. Phys. C 11, L189 (1978)

    MathSciNet  Google Scholar 

  5. R. Morf: Phys. Rev. Lett. 43, 931 (1979);

    Article  ADS  Google Scholar 

  6. D. S. Fisher, B. I. Halperin, R. Morf: Phys. Rev. B 20, 4692 (1979);

    Article  ADS  Google Scholar 

  7. D. S. Fisher, B. I. Halperin, P. M. Platzman: Phy. Rev. Lett. 42, 798 (1979)

    Article  ADS  Google Scholar 

  8. D. S. Fisher: Phys. Rev. B 26, 5009 (1982)

    Article  ADS  Google Scholar 

  9. D. C. Glattli, E. Y. Andrei, F. I. B. Williams: Phys. Lett. 60, 420 (1988)

    Article  Google Scholar 

  10. M. Imada, M. Takahashi: J. Phys. Soc. Jpn 52, 3770 (1984)

    Article  ADS  Google Scholar 

  11. P. Leiderer, W. Ebner, V. B. Shikin: Physica 107, 217 (1981)

    Google Scholar 

  12. W. J. Carr, Jr.: Phys. Rev. 122, 1437 (1961)

    Article  ADS  Google Scholar 

  13. A. Isihara, E. W. Montroll: Proc. Natl. Acad. Sci. USA. 68, 3111 (1971) A. Isihara: Phys. Konden. Mater. 15, 225 (1972)

    Google Scholar 

  14. Lynn Bonsall, A. A. Maradudin: Phys. Rev. 15, 1959 (1979)

    Google Scholar 

  15. A. Isihara: In Solis State Physics Vol. 42, ed. by H. Ehrenreich, D. Turnbull ( Academic, New York 1989 )

    Google Scholar 

  16. R. L. Dobrushin: Th. Prob. Appl. (USSR) 9, 646 (1964); M. E. Fisher, D. Ruelle: J. Math. Phys. 7, 260 (1966);

    Google Scholar 

  17. D. Ruelle : Statistical Mechanics (Benjamin, New York 1969); J. L. Lebowitz, E. H. Lieb: Phys. Rev. Lett. 22, 631 (1969); A. Isihara: Physica 71, 75 (1974)

    MATH  Google Scholar 

  18. A. Isihara: J. Phys. A 1, 539 (1968)

    Article  ADS  Google Scholar 

  19. L. L. Foldy: Phys. Rev. 124, 649 (1961);

    Article  ADS  Google Scholar 

  20. J. M. Stephen, Proc. Phys. Soc. (London) 79, 994 (1962); T. Samulski, A. Isihara: Physica 82A, 294 (1979)

    Google Scholar 

  21. A. Lenard, F. J. Dyson: J. Math. Phys. 9, 698 (1968);

    Article  MathSciNet  ADS  MATH  Google Scholar 

  22. F. J. Dyson : In Brandeis University Summer Institute in Theo. Phys. Vol. 1 ed. by M. Chretien, E. P. Gross, S. Deser ( Gordon and Breach, New York 1969 ) p. 179

    Google Scholar 

  23. A. Lenard: In Lecture Notes in Physics, Vol. 20, ed. by J. Ehlers, K. Hepp, H. A. Weidenmuller (Springer, Berli, Heidelberg 1973 ) p. 114;

    Google Scholar 

  24. E. Lieb: Rev. Mod. Phys. 48, 553 (1976)

    Article  MathSciNet  ADS  Google Scholar 

  25. The Stability of Matter, from Atoms to Stars, ed. by W. Thirring ( Springer, Berlin, Heidelberg 1991 )

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Isihara, A. (1998). Phase Transition and Stability of Matter. In: Electron Liquids. Springer Series in Solid-State Sciences, vol 96. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80392-5_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-80392-5_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-80394-9

  • Online ISBN: 978-3-642-80392-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics