- •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
294 ELECTRICAL CONDUCTIVITY OF FULLY IONIZED PLASMA
permits a reasonable description of the experimentally revealed e ect of “separation” of the isotherms of electrical conductivity of a highly heated nonideal plasma.
References
Andreev, S. I. (1975). Radiation flow and spectral intensity of radiation of a pulsed discharge in a quartz tube with xenon. Optika i Spektroskopiya, 38, 432–439.
Andreev, S. I. and Gavrilova, T. V. (1975). Measurement of electrical–conducti- vity of air plasma at pressures above 100 atm. High Temperature, 13, 151–153.
Asinovsky, E. I., Kirillin, A. V., Pakhomov, E. P., and Shabashov, V. I. (1971). Experimental investigation of transport properties of low–temperature plasma by means of electric arc. Proceedings of the IEEE, 59, 592–601.
Bakeev, A. A. and Rovinskii, R. E. (1970). Electrical properties of high pressure pulsed–discharge plasmas in inert gases. High Temperature, 8, 1055–1061.
Barol’skii, S. G., Kulik, P. P., Ermokhin, N. V., Melnikov, V. M. (1972). Measurement of electric–conductivity of a dense strongly nonideal cesium plasma. JETP 35, 94–100.
Barol’skii, S. G., Ermokhin, N. V., Kulik, P. P., and Ryabyi, V. A. (1976). Energy–balance of a high–pressure cesium pulsed discharge in a transparent capillary. High Temperature, 14, 626–633.
Bauder, U., Devoto, R. S., and Mukherjee, D. (1973). Measurement of electrical– conductivity of argon at high–pressure. Phys. Fluids, 16, 2143–2148.
Bues, I., Patt, H. J., and Richter, J. (1967). Uber die elektrische Leitfahigkeit und die Warmeleitfahigkeit des Argons bei hohen Temperaturen. Zeitschrift fur angewandte Physik, 22, 345–350.
Devoto, R. S. (1973). Transport coe cients of ionized argon. Phys. Fluids, 16, 616–623.
Ebeling, W. and R¨opke, G. (1979). Conductance theory of nonideal plasmas.
Annalen der Physik, 36, 429–437.
Ebeling, W., Forster, A., Fortov, V., Gryaznov, V., and Polishchuk, A. (1991).
Thermophysical properties of hot dense plasmas. AVG, Leipzig.
Ermokhin, N. V., Ryabyi, V. A., Kovalev, B. M., Kulik, P. P. (1971). Experimental investigation of coulomb interaction in a dense plasma. High Temperature, 9, 611–621.
Fortov, V. E. and Iakubov, I. T. (1989). Physics of nonideal plasma. Hemisphere, New York.
Fortov, V. E., Ternovoi, V. Y., Zhernokletov, M. V., Mochalov, M. A., Mikhailov, A. L., Filimonov, A. S., Pyalling, A. A., Mintsev, V. B., Gryaznov, V. K., and Iosilevskii, I. L. (2003). Pressure–produced ionization of nonideal plasma in a megabar range of dynamic pressures. JETP, 97, 259–278.
Goldbach, C., Nollez, G., Popovic, S., and Popovic, M. (1978). Electrical– conductivity of high–pressure ionized argon. Zeitschrift fur Naturforschung, 33, 11–17.
REFERENCES |
295 |
Gould, H. A., and DeWitt, H. E. (1967). Convergent kinetic equation for a classical plasma. Phys. Rev., 155, 68–74.
Gryaznov, V. K., Ivanov, Y. V., Starostin, A. N., and Fortov, V. E. (1976). Thermophysical properties of shock–compressed argon and xenon. High Temperature, 14, 569–572.
G¨unther, K., Popovic, M. M., Popovic, S. S., and Radtke, R. (1976). Electrical conductivity of highly ionized dense hydrogen plasma .2. comparison of experiment and theory. J. Phys. D – Applied Physics, 9, 1139–1147.
G¨unther, K., Lang, S., and Radtke, R. (1983). Electrical–conductivity and charge carrier screening in weakly nonideal argon plasmas. J. Phys. D, 16, 1235–1243.
Hackhmann, J. and Ulenbusch, J. (1971). Determination of the electric conductivity of rare gases under normal pressure from arc measurements. In Abstracts of 10th international conference on phenomena in ionized gases, Francklin, R. N. (ed.), p. 260. Donald Parsons, Oxford.
H¨ohne, F. E., Redmer, R., R¨opke, G., and Wegener, H. (1984). Linear response theory for thermoelectric transport–coe cients of a partially ionized plasma. Physica A, 128, 643–675.
Hubbard, J. (1961a). Friction and di usion coe cients of Fokker–Planck equation in a plasma. Proceedings of the Royal Society of London: Series A– Mathematical and Physical Sciences, 260, 114.
Hubbard, J. (1961b). Friction and di usion coe cients of Fokker–Planck equation in a plasma. 2. Proceedings of the Royal Society of London: Series A– Mathematical and Physical Sciences, 261, 371–387.
Iakubov, I. T. (1991). On electric conductivity of superdense plasma. In Proceedings of the 20th international conferences on phenomena in ionized gases,
Piza. Contributed papers, pp. 881–882.
Ichimaru, S. and Tanaka, S. (1985). Theory of interparticle correlations in dense, high–temperature plasmas. 5. Electric and thermal–conductivities. Phys. Rev. A, 32, 1790–1798.
Ivanov, Y. V., Mintsev, V. B., Fortov, V. E., and Dremin, A. N. (1976a). Electric conductivity of nonideal plasma. JETP, 44, 112–116.
Ivanov, Y. V., Mintsev, V. B., Fortov, V. E., and Dremin, A. N. (1976b). Electric conductivity of strongly nonideal plasma. JTP Lett., 2, 97–101.
Kadomtsev, B. B. (1957). On the e ective field in plasma. JETP, 6, 117–122. Keeler, R. N., van Thiel, M., and Alder, B. J. (1965). Corresponding states at
small interatomic distances. Physica, 31, 1437–1440.
Khomkin, A. L. (1974). Electrical–conductivity of argon and xenon plasmas.
High Temperature, 12, 766–769.
Khomkin, A. L. (1978). Thermodynamic functions, composition, and electrical– conductivity of inert–gas plasmas. High Temperature, 16, 29–34.
Kivelson, M. G. and Du Bois, D. F. (1964). Plasma conductivity at low frequencies and wavenumbers. Phys. Fluids, 7, 1578–1589.
296 ELECTRICAL CONDUCTIVITY OF FULLY IONIZED PLASMA
Klimontovich, Y. L. (1982). Kinetic theory of nonideal gases and nonideal plasmas. Pergamon Press, Oxford.
Klimontovich, Y. L. (1999). Statistical theory of open systems. Vol. 2. Yanus, Moscow.
Kopainsky, J. (1971). Radiation transport mechanism and transport properties in ar high pressure arc. Zeitschrift fur Physik, 248, 417–432.
Kraeft, W. D., Kremp, D., Ebeling, W., and R¨opke G. (1985). Quantum statistics of charged particle systems. Akademic Verlag, Berlin.
Kurilenkov, Y. K. and Valuev, A. A. (1984). The electrical–conductivity of plasma in wide–range of charge–densities. Beitrage aus der Plasmaphysik– Contributions to Plasma Physics, 24, 161–171.
Lee, Y. T. and More, R. M. (1984). An electron conductivity model for dense– plasmas. Phys. Fluids, 27, 1273–1286.
Libo , R. L. (1959). Transport coe cients determined using the shielded Coulomb potential. Phys. Fluids, 2, 40–46.
Lifshitz, E. M. and Pitaevskii, L. P. (1981). Physical kinetics. Pergamon Press, Oxford.
Likal’ter, A. A. (1992). Gaseous metals. Phys. Usp., 162, 119–147.
Likal’ter, A. A. (1987). Electric–conductivity of a degenerate quasiatomic gas.
High Temperature, 25, 305–311.
Maev, S. A. (1970). E ect of finite ion size on electron collision frequency in a plasma. Soviet Phys. – Technical Phys., 15, 438–445.
Milchberg, H. M. and Freeman, R. R. (1990). Studies of hot dense–plasmas produced by an intense subpicosecond laser. Phys. Fluids, 2, 1395–1399.
Mintsev, V. B., Fortov, V. E., and Gryaznov, V. K. (1980). Electric–conductivity of a high–temperature imperfect plasma. JETP, 79, 116–124.
Pavlov, G. A., Kucherenko, V. I. (1977). E ect of excited atoms on conductivity of a dense–plasma of alkali–metals. High Temperature, 15, 343–345.
Popovic, M. M., Popovic, S. S., and Vukovic, S. M. (1974). Distribution of electrical conductivity and density along section of plasma coulomb of high pressure arc. Fizika, 6, 29–35.
Popovic, M. M., Vitel, Y., and Mihajlov, A. A. (1990). (private communication). Rogers, F. J., DeWitt, H. E., and Boercker, D. B. (1981). Electrical–conductivity
of dense–plasmas. Phys. Lett. A, 82 331–334.
R¨opke, G. (1988). Quantum–statistical approach to the electrical–conductivity of dense, high–temperature plasmas. Phys. Rev. A, 38, 3001–3016.
Sarychev, A. K. (1985). E ective–medium method for calculating the conductivity of a dense weakly ionized plasma. High Temperature, 23, 179–185.
Schlanges, M., Kremp, D., Keuer, H. (1984). Kinetic approach to the electrical– conductivity in a partially ionized hydrogen plasma. Annalen der Physik, 41, 54–66.
Sechenov, V. A., Son, E. E., and Shchekotov, O. E. (1977). Electrical conductivity of a cesium plasma. High Temp., 15, 346–349.
REFERENCES |
297 |
Shklovskii, B. I. and Efros, A. L. (1984). Electronic properties of doped semiconductors. Springer, Berlin.
Tkachenko, B. K., Titarov, S. I., Karasev, A. B. and Alipov, S. V. (1976). Experimental determination of parameters behind strong reflected shock waves in air. Comb., Expl., Shock Waves, 12, 763–768.
Vitel, Y., Mokhtari, A., and Skowronek, M. J. (1990). Electrical conductivity and pertinent collision frequencies in nonideal plasma with only a few particles in the Debye sphere. J. Phys. B: At. Mol. Phys., 23, 651–660.
Vorob’ev, V. S. (1987). Electrical–conductivity of completely ionized nonideal plasma. High Temperature, 25, 311–315.
Vorob’ev, V. S., Khomkin, A. L. (1977). Correlated electron–ion pairs in a plasma and their e ect on electrical–conductivity. High Temperature, 15, 157– 160.
Williams, R. H. and DeWitt, H. E. (1969). Quantum–mechanical plasma transport theory. Phys. Fluids, 12, 2326–2342.