Skip to main content
Log in

Application of general transport theories to model system

  • Articles
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

We consider a simple model, the two-site small-polaron system, and show that its properties can be characterized by a master equation which is in accordance with recent quantum statistical theories of macroscopic observables. It is shown by a combination of formal and numerical analyses that the model is an example of a system describable by the lowest-order term in the expansion of the kernel of the master equation in powers of the ratio of the average polaron-phonon interaction energy to the microscopic phonon energy. We discuss the relevance of the method to actual physical systems.

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. N. G. van Kampen,Physica 20:603 (1954).

    Google Scholar 

  2. G. Emch,Helvetica Phys. Acta 37:532 (1964).

    Google Scholar 

  3. R. Zwanzig,Boulder Lectures in Theoretical Physics (1960).

  4. G. L. Sewell,Physica 34:493 (1967).

    Google Scholar 

  5. G. L. Sewell,Physica 31:1520 (1965).

    Google Scholar 

  6. T. Holstein,Ann. Phys. (N.Y.) 8:343 (1959).

    Google Scholar 

  7. P. M. Clark, Thesis, Univ. of London (unpublished).

  8. G. L. Sewell,Phys. Rev. 139:597 (1963).

    Google Scholar 

  9. A. J. Bosman and H. J. van Daal,Advan. Phys. 19:1 (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Clark, P.M., Gluck, P. & Wohlman-Entin, O. Application of general transport theories to model system. J Stat Phys 7, 361–371 (1973). https://doi.org/10.1007/BF01014910

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01014910

Key words

Navigation