Skip to main content

Iterated Mayer Expansions and Their Application to Coulomb Gases

  • Chapter
Scaling and Self-Similarity in Physics

Part of the book series: Progress in Physics ((PMP,volume 7))

Abstract

There are many problems in statistical mechanics and field theory where systems of interacting particles (or particle-like defects, contours, molecules, clusters, etc.) arise. Understanding these systems would be simpler if the particles were noninteracting. If the particles are dilute and weakly interacting, then the corrections to the independent particle approximation are small. These can be isolated and regarded as new kinds of (nonlocal) particles by a procedure known as the Mayer expansion. The nonlocal particles (or clusters) carry all the information about the long-distance behavior of the system.

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. Brydges, D.: A rigorous approach to Debye screening in dilute classical Coulomb systems. Commun. Math. Phys. 58, 313–350 (1978).

    Article  Google Scholar 

  2. Brydges, D., Federbush, P.: A new form of the flayer expansion in classical statistical mechanics. J. Math. Phys. 19, 2064–2067 (1978).

    Article  Google Scholar 

  3. Brydges, D., Federbush, P.: Debye Screening. Commun. Math. Phys. 73, 197–246 (1980).

    Article  Google Scholar 

  4. Brydges, D., Federbush, P.: Debye screening in classical Coulomb systems. In: Velo, G., Wightman, A. (eds.): Rigorous atomic and molecular physics—Erice, 1980. New York: Plenum 1981.

    Google Scholar 

  5. Göpfert, M. and Mack, G.: Iterated Mayer expansion for classical gases at low temperatures. Commun. Math. Phys. 81, 97–126 (1981).

    Article  Google Scholar 

  6. Göpfert, M. and Mack, G.: Proof of confinement of static quarks in 3-dimensional U(l) lattice gauge theory for all values of the coupling constant. Commun. Math. Phys. 82, 545–606 (1982).

    Article  Google Scholar 

  7. Imbrie, J.Z.: Debye screening for jellium and other Coulomb systems. Commun. Math. Phys., to appear.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer Science+Business Media New York

About this chapter

Cite this chapter

Imbrie, J.Z. (1983). Iterated Mayer Expansions and Their Application to Coulomb Gases. In: Fröhlich, J. (eds) Scaling and Self-Similarity in Physics. Progress in Physics, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-6762-6_4

Download citation

  • DOI: https://doi.org/10.1007/978-1-4899-6762-6_4

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4899-6764-0

  • Online ISBN: 978-1-4899-6762-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics