Abstract
A purely static characterisation of “atomic” versus “ionized” states is given in terms of the spectral properties of the pair reduced density matrix. These spectral properties can be analyzed in a simple model (a “short range electron” with classical “hard core protons”). In the model the Mott effect occurs at high density as a consequence of the reduction of particle fluctuations.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. L. Lebowitz, N. Macris, Ph. A. Martin: “Atomic versus Ionized States in Many Particles Systems and the Spectra of Reduced Density Matrices: a Model Study”, Rutgers University, preprint (1991), to appear in J. Stat. Phys.
W. D. Kraeft, D. Kremp, K. Kilimann, H. E. DeWitt, Phys. Rev. A 42, 2340 (1990)
M. D. Girardeau, Phys. Rev. A 41, 6935 (1990).
J. M. H. Levet, E. G. D. Cohen, “Studies in Statistical Mechanics”, Vol. II, Ed. de Boer and G. E. Uhlenbeck, chap. 4, North Holland (1964).
T. Kato, “Perturbation Theory for Linear Operators”, Springer Verlag (1984).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 B. G. Teubner Verlagsgesellschaft, Leipzig
About this chapter
Cite this chapter
Martin, A. (1992). A Simple Statistical Mechanical Model for Pressure Induced Ionization. In: Ebeling, W., Förste, A., Radtke, R. (eds) Physics of Nonideal Plasmas. TEUBNER-TEXTE zur Physik, vol 26. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-99736-4_7
Download citation
DOI: https://doi.org/10.1007/978-3-322-99736-4_7
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-322-99737-1
Online ISBN: 978-3-322-99736-4
eBook Packages: Springer Book Archive