Skip to main content

Spontaneously Broken Symmetries and Dissipative Structures

  • Chapter
Disequilibrium and Self-Organisation

Part of the book series: Mathematics and Its Applications ((MAIA,volume 30))

Abstract

Living structures appear as time-dependent ordered structures. These structures are also generally unsymmetric. On the other hand basic interactions, such as electromagnetic interactions, which could reasonably be responsible for living structures are highly symmetric. Quantum field theory predicts that ordered structures are likely to appear when the symmetry of the basic Lagrangian is broken by choosing an unsymmetric vacuum. We suggest that long-range correlations could appear in living matter as a consequence of the breakdown of rotational invariance in the set of electric dipoles, which are the basic components of that matter. Moreover we discuss the behavior of electromagnetic field in the region of correlated dipoles and show that it gets confined inside narrow filaments, which could be at origin of cell architecture.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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. P.W. Anderson and D.L. Stein: Broken symmetry, emergent properties, dissipative structures, life: are they related? in the book: P.M. Anderson “Basic Notions of Condensed Matter Physics” Benjamin, Menlo Park, 1984, p. 263–285.

    Google Scholar 

  2. M. Eigen and P. Schuster: The Hypercycle: A principle of Natural Self-Organization — Springer-Verlag, Berlin, 1979.

    Google Scholar 

  3. H. Haken: Synergetics: An Introduction Springer-Verlag, Berlin, 1979.

    Google Scholar 

  4. P. Glansdorff and I. Prigogine: Thermodynamic Theory of Structure, Stability and Fluctuations Wiley, New York, 1971.

    MATH  Google Scholar 

  5. H. Matsumoto, M. Tachiki and H. Umezawa: Thermo-field dynamics and condensed states North-Holland, Amsterdam, 1982.

    Google Scholar 

  6. H. Umezawa: Nuovo Cimento, 40, 450–475 (1965).

    ADS  Google Scholar 

  7. L. Leplae, R.N. Sen and H. Umezawa: Nuovo Cimento 49B, 1–31 (1967).

    Google Scholar 

  8. H. Umezawa: in “Renormalization and Invariance in Quantum Field Theory” (E.R. Caianiello, ed.) p. 275–328, Plenum Press, New York (1974).

    Google Scholar 

  9. J. Goldstone: Nuovo Cimento 19, 154–164 (1961).

    Article  MathSciNet  MATH  Google Scholar 

  10. J. Goldstone, A. Salem and S. Weinberg: Phys. Rev. 127, 965–970 (1962).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. H. Matsumoto, H. Umezawa, G. Vitiello and J.K. Wyley: Phys. Rev. 9D, 2806–2813 (1974).

    Google Scholar 

  12. M.N. Shah, H. Umezawa and G. Vitiello: Phys. Rev. 10B, 4724–4736 (1974).

    Google Scholar 

  13. C. De Concini and G. Vitiello: Nucl. Phys. 116B, 141–156 (1976).

    Google Scholar 

  14. H. Fröhlich: Proc. Nat. Acad. Sci. Usa, 72, 4211–4215 (1975).

    Article  ADS  Google Scholar 

  15. E. Del Giudice, S. Doglia, M. Milani and G. Vitiello: Phys. Lett. 95A, 508–510 (1983)

    Google Scholar 

  16. Nucl. Phys. B 251 (FS 13) 375–400 (1985).

    Article  ADS  Google Scholar 

  17. S. Celaschi and S. Mascarenhas: Biophysical Journal 20, 273–278 (1977).

    Article  ADS  Google Scholar 

  18. J.B. Hasted, H.M. Millany and D. Rosen: J. Chem. Soc. Faraday Trans. 77, 2289–2297 (1981).

    Article  Google Scholar 

  19. H. Fröhlich: Rivista del Nuovo Cimento 7, 399–418 (1977).

    Article  ADS  Google Scholar 

  20. Fr. Kaiser, in “Interactions between Electromagnetic Fields and Cells” eds. A. Chiabrera, C. Nicolini and H. Schwan, (Plenum, New York, 1985) p. 131.

    Google Scholar 

  21. G. Nicolis and I. Prigogine: Self-Organization in Non-Equilibrium Systems (Wiley, New York, 1977).

    Google Scholar 

  22. E. Del Giudice, S. Doglia, M. Milani and G. Vitiello — Milano Preprint (1986).

    Google Scholar 

  23. P.W. Anderson: Phys. Rev. 110, 827 (1958)

    Article  MathSciNet  ADS  Google Scholar 

  24. 130, 439 (1963).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  25. P.Higgs: Phys. Rev. 145, 1156 (1966).

    Article  MathSciNet  ADS  Google Scholar 

  26. T.W.B. Kibble: Phys. Rev. 155, 1554 (1967).

    Article  ADS  Google Scholar 

  27. E. Del Giudice, S. Doglia and M. Milani: Physica Scripta, 26, 232–238 (1982);

    Article  ADS  Google Scholar 

  28. Phys. Lett. 90A, 104–106 (1982)

    Google Scholar 

  29. in “Coherent excitations of biological systems” (H. Fröhlich and F. Kremer eds.) pp. 124–127, Springer, Berlin (1983).

    Google Scholar 

  30. in “Nonlinear electrodynamics in biological systems” (W.R. Adey and A.F. Lawrence eds.) pp. 477–488, Plenum Press, New York (1984).

    Google Scholar 

  31. S. Rowlands: in “Coherent Excitations of Biological systems” (H. Fröhlich and F. Kremer eds.) pp. 145–161, Springer, Berlin (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1986 D. Reidel Publishing Company

About this chapter

Cite this chapter

Del Giudice, E., Doglia, S., Milani, M., Vitiello, G. (1986). Spontaneously Broken Symmetries and Dissipative Structures. In: Kilmister, C.W. (eds) Disequilibrium and Self-Organisation. Mathematics and Its Applications, vol 30. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4718-4_15

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-4718-4_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8598-4

  • Online ISBN: 978-94-009-4718-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics