- •Preface
- •Contents
- •1 Nonideal plasma. Basic concepts
- •1.1 Interparticle interactions. Criteria of nonideality
- •1.1.1 Interparticle interactions
- •1.1.2 Coulomb interaction. Nonideality parameter
- •1.1.4 Compound particles in plasma
- •1.2.2 Metal plasma
- •1.2.3 Plasma of hydrogen and inert gases
- •1.2.4 Plasma with multiply charged ions
- •1.2.5 Dusty plasmas
- •1.2.6 Nonneutral plasmas
- •References
- •2.1 Plasma heating in furnaces
- •2.1.1 Measurement of electrical conductivity and thermoelectromotive force
- •2.1.2 Optical absorption measurements.
- •2.1.3 Density measurements.
- •2.1.4 Sound velocity measurements
- •2.2 Isobaric Joule heating
- •2.2.1 Isobaric heating in a capillary
- •2.2.2 Exploding wire method
- •2.3 High–pressure electric discharges
- •References
- •3.1 The principles of dynamic generation and diagnostics of plasma
- •3.2 Dynamic compression of the cesium plasma
- •3.3 Compression of inert gases by powerful shock waves
- •3.4 Isentropic expansion of shock–compressed metals
- •3.5 Generation of superdense plasma in shock waves
- •References
- •4 Ionization equilibrium and thermodynamic properties of weakly ionized plasmas
- •4.1 Partly ionized plasma
- •4.2 Anomalous properties of a metal plasma
- •4.2.1 Physical properties of metal plasma
- •4.2.2 Lowering of the ionization potential
- •4.2.3 Charged clusters
- •4.2.4 Thermodynamics of multiparticle clusters
- •4.3 Lowering of ionization potential and cluster ions in weakly nonideal plasmas
- •4.3.1 Interaction between charged particles and neutrals
- •4.3.2 Molecular and cluster ions
- •4.3.3 Ionization equilibrium in alkali metal plasma
- •4.4 Droplet model of nonideal plasma of metal vapors. Anomalously high electrical conductivity
- •4.4.1 Droplet model of nonideal plasma
- •4.4.2 Ionization equilibrium
- •4.4.3 Calculation of the plasma composition
- •4.5 Metallization of plasma
- •4.5.3 Phase transition in metals
- •References
- •5.1.1 Monte Carlo method
- •5.1.2 Results of calculation
- •5.1.4 Wigner crystallization
- •5.1.5 Integral equations
- •5.1.6 Polarization of compensating background
- •5.1.7 Charge density waves
- •5.1.8 Sum rules
- •5.1.9 Asymptotic expressions
- •5.1.10 OCP ion mixture
- •5.2 Multicomponent plasma. Results of the perturbation theory
- •5.3 Pseudopotential models. Monte Carlo calculations
- •5.3.1 Choice of pseudopotential
- •5.5 Quasiclassical approximation
- •5.6 Density functional method
- •5.7 Quantum Monte Carlo method
- •5.8 Comparison with experiments
- •5.9 On phase transitions in nonideal plasmas
- •References
- •6.1 Electrical conductivity of ideal partially ionized plasma
- •6.1.1 Electrical conductivity of weakly ionized plasma
- •6.2 Electrical conductivity of weakly nonideal plasma
- •6.3 Electrical conductivity of nonideal weakly ionized plasma
- •6.3.1 The density of electron states
- •6.3.2 Electron mobility and electrical conductivity
- •References
- •7 Electrical conductivity of fully ionized plasma
- •7.1 Kinetic equations and the results of asymptotic theories
- •7.2 Electrical conductivity measurement results
- •References
- •8 The optical properties of dense plasma
- •8.1 Optical properties
- •8.2 Basic radiation processes in rarefied atomic plasma
- •8.5 The principle of spectroscopic stability
- •8.6 Continuous spectra of strongly nonideal plasma
- •References
- •9 Metallization of nonideal plasmas
- •9.1 Multiple shock wave compression of condensed dielectrics
- •9.1.1 Planar geometry
- •9.1.2 Cylindrical geometry
- •9.3 Metallization of dielectrics
- •9.3.1 Hydrogen
- •9.3.2 Inert gases
- •9.3.3 Oxygen
- •9.3.4 Sulfur
- •9.3.5 Fullerene
- •9.3.6 Water
- •9.3.7 Dielectrization of metals
- •9.4 Ionization by pressure
- •References
- •10 Nonneutral plasmas
- •10.1.1 Electrons on a surface of liquid He
- •10.1.2 Penning trap
- •10.1.3 Linear Paul trap
- •10.1.4 Storage ring
- •10.2 Strong coupling and Wigner crystallization
- •10.3 Melting of mesoscopic crystals
- •10.4 Coulomb clusters
- •References
- •11 Dusty plasmas
- •11.1 Introduction
- •11.2 Elementary processes in dusty plasmas
- •11.2.1 Charging of dust particles in plasmas (theory)
- •11.2.2 Electrostatic potential around a dust particle
- •11.2.3 Main forces acting on dust particles in plasmas
- •11.2.4 Interaction between dust particles in plasmas
- •11.2.5 Experimental determination of the interaction potential
- •11.2.6 Formation and growth of dust particles
- •11.3 Strongly coupled dusty plasmas and phase transitions
- •11.3.1 Theoretical approaches
- •11.3.2 Experimental investigation of phase transitions in dusty plasmas
- •11.3.3 Dust clusters in plasmas
- •11.4 Oscillations, waves, and instabilities in dusty plasmas
- •11.4.1 Oscillations of individual particles in a sheath region of gas discharges
- •11.4.2 Linear waves and instabilities in weakly coupled dusty plasmas
- •11.4.3 Waves in strongly coupled dusty plasmas
- •11.4.4 Experimental investigation of wave phenomena in dusty plasmas
- •11.5 New directions in experimental research
- •11.5.1 Investigations of dusty plasmas under microgravity conditions
- •11.5.2 External perturbations
- •11.5.3 Dusty plasma of strongly asymmetric particles
- •11.5.4 Dusty plasma at cryogenic temperatures
- •11.5.5 Possible applications of dusty plasmas
- •11.6 Conclusions
- •References
- •Index
I N T E R N AT I O N A L S E R I E S
O F
M O N O G R A P H S O N P H Y S I C S
S E R I E S E D I T O R S
J . B I R M A N C I T Y U N I V E R S I T Y O F N E W Y O R K S . F . E DWA R D S U N I V E R S I T Y O F C A M B R I D G E
R . F R I E N D U N I V E R S I T Y O F C A M B R I D G E M . R E E S U N I V E R S I T Y O F C A M B R I D G E D . S H E R R I N G T O N U N I V E R S I T Y O F OX FO R D
G . V E N E Z I A N O C E R N , G E N E VA
International Series of Monographs on Physics
135. V. Fortov, I. Iakubov, A. Khrapak: Physics of strongly coupled plasma
134. G. Fredrickson: The equilibrium theory of inhomogeneous polymers
133. H. Suhl: Relaxation processes in micromagnetics
132. J. Terning: Modern supersymmetry
131. M. Mari˜no: Chern-Simons theory, matrix models, and topological strings 130. V. Gantmakher: Electrons and disorder in solids
129. W. Barford: Electronic and optical properties of conjugated polymers 128. R. E. Raab, O. L. de Lange: Multipole theory in electromagnetism 127. A. Larkin, A. Varlamov: Theory of fluctuations in superconductors
126. P. Goldbart, N. Goldenfeld, D. Sherrington: Stealing the gold 125. S. Atzeni, J. Meyer-ter-Vehn: The physics of inertial fusion
124. C. Kiefer: Quantum gravity
123. T. Fujimoto: Plasma spectroscopy
122. K. Fujikawa, H. Suzuki: Path integrals and quantum anomalies 121. T. Giamarchi: Quantum physics in one dimension
120. M. Warner, E. Terentjev: Liquid crystal elastomers
119. L. Jacak, P. Sitko, K. Wieczorek, A. Wojs: Quantum Hall systems
118. J. Wesson: Tokamaks, Third edition
117. G. Volovik: The Universe in a helium droplet
116. L. Pitaevskii, S. Stringari: Bose-Einstein condensation
115. G. Dissertori, I. G. Knowles, M. Schmelling: Quantum chromodynamics
114. B. DeWitt: The global approach to quantum field theory
113. J. Zinn-Justin: Quantum field theory and critical phenomena, Fourth edition 112. R. M. Mazo: Brownian motion—fluctuations, dynamics, and applications
111. H. Nishimori: Statistical physics of spin glasses and information processing—an introduction
110. N. B. Kopnin: Theory of nonequilibrium superconductivity
109. A. Aharoni: Introduction to the theory of ferromagnetism, Second edition
108. R. Dobbs: Helium three
107. R. Wigmans: Calorimetry
106. J. K¨ubler: Theory of itinerant electron magnetism
105. Y. Kuramoto, Y. Kitaoka: Dynamics of heavy electrons
104. D. Bardin, G. Passarino: The Standard Model in the making
103. G. C. Branco, L. Lavoura, J. P. Silva: CP Violation
102. T. C. Choy: E ective medium theory
101. H. Araki: Mathematical theory of quantum fields
100.L. M. Pismen: Vortices in nonlinear fields
99.L. Mestel: Stellar magnetism
98. K. H. Bennemann: Nonlinear optics in metals
97. D. Salzmann: Atomic physics in hot plasmas
96. M. Brambilla: Kinetic theory of plasma waves
95. M. Wakatani: Stellarator and heliotron devices
94. S. Chikazumi: Physics of ferromagnetism
91. R. A. Bertlmann: Anomalies in quantum field theory
90. P. K. Gosh: Ion traps
88. S. L. Adler: Quaternionic quantum mechanics and quantum fields 87. P. S. Joshi: Global aspects in gravitation and cosmology
86. E. R. Pike, S. Sarkar: The quantum theory of radiation 83. P. G. de Gennes, J. Prost: The physics of liquid crystals
82.B. H. Bransden, M. R. C. McDowell: Charge exchange and the theory of ion-atom collision
73. M. Doi, S. F. Edwards: The theory of polymer dynamics 71. E. L. Wolf: Principles of electron tunneling spectroscopy 70. H. K. Henisch: Semiconductor contacts
69. S. Chandrasekhar: The mathematical theory of black holes
51. C. Møller: The theory of relativity
46. H. E. Stanley: Introduction to phase transitions and critical phenomena 32. A. Abragam: Principles of nuclear magnetism
27. P. A. M. Dirac: Principles of quantum mechanics
23. R. E. Peierls: Quantum theory of solids
Physics of Strongly
Coupled Plasma
V . E . FO RT OV
Institute for High Energy Densities, Russian Academy of Sciences
I . T . I A K U B OV
Institute of Theoretical and Applied Electrodynamics,
Russian Academy of Sciences
A . G . K H R A PA K
Institute for High Energy Densities, Russian Academy of Sciences
C L A R E N D O N P R E S S · OX FO R D 2006
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c Vladimir Fortov, Igor Iakubov, and Alexey Khrapak, 2006
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1 3 5 7 9 10 8 6 4 2
PREFACE
This book is dedicated to the physical properties of dense plasmas compressed so strongly that the e ects of interparticle interaction are substantial, that is, nonideal or strongly coupled plasmas. Interest in this area of plasma physics has grown considerably over the last 20–25 years when states with high energy densities, which form the basis of modern technical projects and energy applications, became accessible to experiments.
Strongly coupled plasmas are essential from the standpoint of the operation of pulsed thermonuclear reactors with inertial confinement of hot plasma, powerful magnetic-flux and magnetohydrodynamic generators, power-generating plants and rocket engines with gas-phase nuclear reactors, plasmochemical and microwave reactors, plasma generators and powerful sources of optical and X–ray radiation. In the foreseeable future, strongly compressed and heated metallized plasmas will be used as a working body similar to the water vapor in modern thermoelectric power stations. Nonideal plasmas occur when matter is a ected by strong shocks, detonation and electric-explosion waves, concentrated laser radiation, electron and ion fluxes, under conditions of powerful chemical and nuclear explosions, upon pulsed evaporation of the liners of pinches and magnetocumulative generators. Nonideal plasmas occur during hypersonic motion of bodies in dense planetary atmospheres, as a result of high–velocity impact, and in numerous situations characterized by extreme pressures and temperatures. The physics of electrode, contact and electric-explosion processes under conditions of vacuum breakdown are closely related to nonideal plasma, which is essential to the operation of powerful plasma accelerators, microwave generators and plasma switches. Modern progress in the understanding of the structure and evolution of giant planets in the solar system, as well as astrophysical objects, is largely based on the ideas and results from the field of highly compressed plasmas.
Along with pragmatic interest in high–pressure plasmas, purely fundamental interest is gaining momentum, because it is in this exotic state that the major part of matter in the universe finds itself. In fact, estimations show that about 95% of matter (without taking dark matter into account) are the plasmas of stars, pulsars, black holes, and giant planets of the solar system. Plasma nonideality defines the behavior of matter in a wide range of the phase diagram, from solid and liquid to neutral gas, the phase boundaries of melting and boiling, and the metal–dielectric transition region. The last problem is now at an advanced stage of consideration in experiments on the multiple shock compression of dielectrics and their metallization in the megabar pressure range, as well as in experiments on dielectrization of strongly compressed metals.
Investigation of strongly compressed Coulomb systems is now one of the hottest and most intensively developed fundamental branches of physics, which
v
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PREFACE |
lies at the interfaces between di erent fields: plasma physics, physics of the condensed state, atomic and molecular physics. To the most impressive results of the last few years one can ascribe the pressure ionization of dielectrics and experimental observation of ordering in Coulomb systems (“plasma liquid” and “plasma crystal”) including strongly coupled plasmas of ions cooled by laser radiation in electrostatic traps and cyclotrons; the condensation of the optically excited excitons in semiconductors; the two–dimensional crystallization of electrons at the surface of liquid helium and hydrogen; the Coulomb “freezing” of the colloid plasma, as well as laboratory and microgravity experiments with complex (dusty) plasmas. In spite of the wide variety of objects and experimental situations, they are all united by the dominant role of the strong collective interaction.
These facts provide a permanent stable stimulus to intense theoretical and experimental studies, which have recently produced a number of interesting and, more importantly, reliable data on the thermodynamic, optical, electrophysical and transport properties of dense plasmas. This special information is contained in a wide flow of original publications. This takes place against the background of an increasing number of specialists, both researchers and engineers, who make use of strongly coupled plasmas to solve diverse fundamental and applied problems.
We have attempted to systematize, generalize, and present from a single viewpoint, the theoretical and experimental results related to this relatively new field of science. The table of contents gives a good idea of the scope of this book. We have tried to expand the discussion as much as possible to cover the cases when nonideality shows most clearly in the plasma state of matter. For this reason the interesting problems related to dense plasmas of condensed metals and semiconductors, electrolyte and colloid plasmas, as well as a detailed discussion of plasma applications, have been omitted.
The physics of strongly coupled plasmas appears to present a very di cult subject for pure theory, because the strong interparticle interaction impedes the use of conventional methods of theoretical physics. Therefore, the recent progress in understanding the properties of compressed plasmas was only made possible by the emergence of experimental data obtained through nonconventional generation and diagnostic techniques. In this case, the experimental results provide a basis for model theories, as well as for defining the range of applicability of asymptotic approximations. We have tried to maintain the natural balance between theory and experiment while giving primary consideration to physical results. In our opinion, this is what distinguishes our work from the available (and rather few) review publications in the field.
The physics of strongly coupled plasmas is developing very rapidly, with more and more applications coming to light. Naturally, the material contained in this book will likewise be expanded and complemented. We would like to thank the readers in advance for their critical comments and suggestions.
We hope that this book will prove useful to broad sections of specialists by giving them access to original works and helping them get their bearings amid
PREFACE |
vii |
the present-day problems of dense plasmas. Knowledge of standard university courses is su cient for productive reading.
V. E. Fortov
I. T. Iakubov
A. G. Khrapak
ACKNOWLEDGEMENTS
The authors are deeply grateful to all their colleagues who helped us to perform the numerous experiments and calculations which form the basis of this book. Of great value were stimulating discussions and creative contacts with the late A. M. Prokhorov, Ya. B. Zel’dovich, L. M. Biberman, and V. M. Ievlev. The authors are also grateful to A. Ivlev and S. Khrapak who assisted with the English translation of this book.