Skip to main content

Scaling and Universality in the Shock Compression of Condensed Matter

  • Conference paper
Symmetries in Physics

Abstract

From universality and scale invariance we derive a set of thermodynamic constraints on the equation of state of those materials for which the linear relation between shock and particle velocities is valid with non-vanishing intercept. These constraints are sufficient to determine the universal form which the incomplete equation of state of those materials takes at very high pressures and large values of the compression.

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

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.

Similar content being viewed by others

References

  1. M.H. Rice, R.G. McQueen, and J.M. Walsh, Solid State Phys 6, 1 (1958)

    Article  Google Scholar 

  2. L.V. Al’tshuler, K.K. Krupnikov, and M.I. Brazhnik Zh. Eksp. Teor. Fiz. 34, 886 (1958)

    Google Scholar 

  3. L.V. Al’tshuler, K.K. Krupnikov, and M.I. Brazhnik [Sov. Phys. JETP 7, 614 (1958)].

    Google Scholar 

  4. Ya.B. Zel’dovich and Yu.P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena (Academic Press, New York, 1967).

    Google Scholar 

  5. F.E. Prieto and C. Renero, Au sujet de la relation entre la vitesse de choc et la vitesse de particule. Sciences et Techniques de l’Armement 49, 325 (1975).

    Google Scholar 

  6. F.E. Prieto, A law of corresponding states for materials at shock pressures, J. Phys. Chem. Solids 35, 279 (1974).

    Article  ADS  Google Scholar 

  7. L.E. Reichl, A Modern Course in Statistical Physics (University of Texas Press, Austin, 1980), Chapter 10.

    Google Scholar 

  8. Compendium of Shock Wave Data, Ed. by M. van Thiel UCRL-50108 Vols. 1–3 (Lawrence Livermore National Laboratory 1977)

    Google Scholar 

  9. see also Shock Hugoniot Data, Ed. by S. Marsh (University of California, Berkeley, 1980).

    Google Scholar 

  10. R.G. McQueen, S.P. Marsh, J.W. Taylor, J.N. Fritz, and W.J. Carter, in High-Velocity Impact Phenomena, Ed. by R. Kinslow (Academic Press, New York, 1970).

    Google Scholar 

  11. G.E. Duvall and G.R. Fowles Shock Waves in High-Pressure Physics and Chemistry, Ed. by R.S. Bradley (Academic Press, London and New York, 1963), Vol. 2.

    Google Scholar 

  12. R.G. McQueen and S.P. Marsh, J. Appl Phys. 31, 1253 (1960)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Mondragón, A., Astiz, M. (1992). Scaling and Universality in the Shock Compression of Condensed Matter. In: Frank, A., Wolf, K.B. (eds) Symmetries in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77284-9_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-77284-9_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-77286-3

  • Online ISBN: 978-3-642-77284-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics