Skip to main content
Log in

On the origin of structures

  • Published:
Czechoslovak Journal of Physics B Aims and scope

Abstract

In the framework of the urn model (where different numbers of particles are allowed to be created or annihilated) modified by the presence of the forces which need not lead to the creations or annihilations (they influence the results considerably in another way), the appearance of the structure of several probability distributions is clearly demonstrated in the present paper. This structure appears due to the different values of the force parameters which characterize the aforementioned modifying forces. The explicit expressions for the corresponding probability distributions can be obtained in a relatively simple and constructive way. The connection with the structure of several cross sections (considered as probability distributions) as well as with the selforganization is briefly mentioned, too.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Athreya K. B., Ney P. E.: Branching Processes, Springer Verlag, Berlin-Heidelberg-New York, 1972.

    Google Scholar 

  2. Orfanidis S. J., Rittenberg V.: Phys. Rev. D10 (1974) 2892.

    Google Scholar 

  3. Konishi K., Ukawa A., Veneziano G.: Nucl. Phys. B157 (1979) 45.

    Google Scholar 

  4. Giovannini A.: Nucl. Phys. B161 (1979) 429.

    Google Scholar 

  5. Friedman B.: Comm. on Pure and Appl. Math.2 (1949) 59.

    Google Scholar 

  6. Scully M. O., Lamb W. E., Jr.: Phys. Rev.159 (1967) 208.

    Google Scholar 

  7. Haken H.: Lines of Developments of Synergetics,in: Dynamics of Synergetic Systems, Proc. Int. Symp. on Synergetics, Bielefeld 1979, (ed. H. Haken), Springer Verlag, 1980.

  8. Blažek M.: Acta Phys. Slov.30 (1980) 185.

    Google Scholar 

  9. Sargent M. III, Scully M. O., Lamb W. E., Jr.: Applied Optics9 (1970) 2423.

    Google Scholar 

  10. Majerčík L.: Diploma work (Math.-Phys. Fac. Univ. Com., Bratislava, 1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Blažek, M. On the origin of structures. Czech J Phys 32, 617–623 (1982). https://doi.org/10.1007/BF01596703

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01596703

Keywords

Navigation