Statistical physics of dense plasmas: Thermodynamics, transport coefficients and dynamic correlations

Abstract We review the current status of the theoretical developments in the study of the interparticle correlations in dense plasmas and the transport and elementary processes. The specific features considered are the strong Coulomb-coupling effects in the dense ion systems, the varied degrees of Fermi degeneracy in the electron systems and the mutual coupling between the ion and electron systems. The subjects covered are confined, more or less, to those areas where the authors were able to make some contributions and progress through theoretical studies since the previous review [1]. Relevant experimental works are also cited and are compared with the theoretical results.

[1]  S. Ichimaru.  Strongly coupled plasmas: high-density classical plasmas and degenerate electron liquids , 1982 .

[2]  S. Ichimaru,et al.  Wigner Crystallization and the Onset of a Charge-Density-Wave Instability in Strongly Coupled, Classical, One-Component Plasma , 1981 .

[3]  S. Kaneko.  Transport Coefficients of Plasmas in a Magnetic Field , 1960 .

[4]  R. Laughlin.  Anomalous quantum Hall effect: An incompressible quantum fluid with fractionally charged excitations , 1983 .

[5]  E. Thiele,et al.  Equation of State for Hard Spheres , 1963 .

[6]  V. Fortov.  Dynamic methods in plasma physics , 1982 .

[7]  B. Alder,et al.  Limited solubility of iron in the Sun's interior , 1978 .

[8]  Leo P. Kadanoff,et al.  Hydrodynamic equations and correlation functions , 1963 .

[9]  D. Geldart,et al.  THE SCREENING FUNCTION OF AN INTERACTING ELECTRON GAS , 1966 .

[10]  J. Frankel.  Kinetic theory of liquids , 1946 .

[11]  Ph. A. Martin,et al.  Equilibrium properties of classical systems with long-range forces. BBGKY equation, neutrality, screening, and sum rules , 1980 .

[12]  F. Stern,et al.  Electronic properties of two-dimensional systems , 1982 .

[13]  B. Rozsnyai.  Screening effects upon spectral lines in hot matter , 1975 .

[14]  D. Stevenson.  Interiors of the Giant Planets , 1982 .

[15]  T. Kihara,et al.  Unified Theory of Relaxations in Plasmas, I. Basic Theorem , 1963 .

[16]  M. Wertheim,et al.  EXACT SOLUTION OF THE PERCUS-YEVICK INTEGRAL EQUATION FOR HARD SPHERES , 1963 .

[17]  W. Hubbard,et al.  Statistical Mechanics of Light Elements at High Pressure. I. Theory and Results for Metallic Hydrogen with Simple Screening , 1971 .

[18]  C. Deutsch,et al.  Dense electron‐gas response at any degeneracy , 1978 .

[19]  I. R. Mcdonald,et al.  Velocity autocorrelation function and dynamical structure factor of the classical one-component plasma , 1974 .

[20]  Kenji Yamamoto,et al.  On the Complex Level Shift of Spectral Lines in Plasmas , 1978 .

[21]  W. Hubbard,et al.  Statistical mechanics of light elements at high pressure. VII: A perturbative free energy for arbitrary mixtures of H and He , 1985 .

[22]  J. Isern,et al.  Solid white dwarfs as Type I supernova progenitors , 1984, Nature.

[23]  H. Yasuhara.  Short-range correlation in electron gas , 1972 .

[24]  H. Iyetomi,et al.  Screening Effect of Degenerate Electron Background in High Density Plasmas. III. Local Field Correction Due to Electron Interaction , 1983 .

[25]  J. Hansen,et al.  Equation of state of the classical two-component plasma , 1976 .

[26]  C. C. Grimes,et al.  Evidence for a Liquid-to-Crystal Phase Transition in a Classical, Two-Dimensional Sheet of Electrons , 1979 .

[27]  L. Sjögren,et al.  Changes of thermodynamic quantities at the glass transition , 1986 .

[28]  W. Ebeling,et al.  Thermodynamic Functions of the Electron Fluid for a Wide Density—Temperature Range , 1984 .

[29]  K. Brueckner,et al.  Laser Driven Fusion , 1973 .

[30]  A. Fetter,et al.  Quantum Theory of Many-Particle Systems , 1971 .

[31]  R. H. Williams,et al.  Quantum‐Mechanical Plasma Transport Theory , 1969 .

[32]  Tanaka,et al.  Generalized viscoelastic theory of the glass transition for strongly coupled, classical, one-component plasmas. , 1986, Physical review letters.

[33]  J. Lebowitz,et al.  Sum rules for inhomogeneous Coulomb systems , 1981 .

[34]  R. More,et al.  An electron conductivity model for dense plasmas , 1984 .

[35]  J. Lebowitz,et al.  Perfect Screening for Charged Systems , 1982 .

[36]  David J. Wineland,et al.  Strongly coupled nonneutral ion plasma , 1984 .

[37]  I. R. Mcdonald,et al.  Theory of simple liquids , 1998 .

[38]  Screening potential and enhancement of thermonuclear reaction rate due to relativistic degenerate electrons in dense multi-ionic plasmas , 1984 .

[39]  L. Spitzer.  Physics of fully ionized gases , 1956 .

[40]  S. Ichimaru.  Ion-Density Correlations and Enhancement of Thermonuclear Reaction Rate in Dense, Inertially Confined Fusion Plasmas , 1984 .

[41]  John C. Stewart,et al.  Lowering of Ionization Potentials in Plasmas , 1966 .

[42]  I. R. Mcdonald,et al.  Microscopic simulation of a hydrogen plasma , 1978 .

[43]  S. Ichimaru,et al.  Thermodynamics and Correlational Properties of Finite-Temperature Electron Liquids in the Singwi-Tosi-Land-Sjolander Approximation , 1986 .

[44]  Ph. A. Martin,et al.  The charge fluctuations in classical Coulomb systems , 1980 .

[45]  J. Hansen,et al.  Thermal Conductivity of a Strongly Coupled Hydrogen Plasma , 1982 .

[46]  S. Lubow,et al.  Standard Solar Models and the Uncertainties in Predicted Capture Rates of Solar Neutrinos , 1982 .

[47]  H. Iyetomi,et al.  Electrical and thermal conductivities of dense matter in the liquid metal phase. I - High-temperature results , 1983 .

[48]  A. Barker.  Effective Potentials between the Components of a Hydrogeneous Plasma , 1971 .

[49]  D. Turnbull.  Formation of Crystal Nuclei in Liquid Metals , 1950 .

[50]  F. Y. Wu,et al.  Convolution Approximation for the n‐Particle Distribution Function , 1970 .

[51]  T. M. O'Neil,et al.  Pure electron plasma, liquid, and crystal , 1977 .

[52]  J. Isern,et al.  A new model for white dwarf supernovae , 1982, Nature.

[53]  F. Abraham,et al.  Empirical Criterion for the Glass Transition Region Based on Monte Carlo Simulations , 1978 .

[54]  H. Gould,et al.  Coupling of single-particle and collective motions in a one-component plasma , 1975 .

[55]  B. Alder,et al.  THE GROUND STATE OF THE ELECTRON GAS BY A STOCHASTIC METHOD , 2010 .

[56]  C. Driscoll,et al.  Length-Dependent Containment of a Pure Electron-Plasma Column , 1983 .

[57]  W. Hubbard,et al.  Statistical mechanics of light elements at high pressure. VIII - Thomas-Fermi-Dirac theory for binary mixtures of H with He, C, and O. [in Jupiter planet interiors] , 1985 .

[58]  D. Frenkel,et al.  Computer Simulations of Freezing and Supercooled Liquids , 1980 .

[59]  T. G. Cowling,et al.  The mathematical theory of non-uniform gases , 1939 .

[60]  M. Parrinello,et al.  Dynamical correlations in the one-component plasma , 1975 .

[61]  J. M. J. van Leeuwen,et al.  New method for the calculation of the pair correlation function. I , 1959 .

[62]  J. Dobson,et al.  Face dependent surface energies of simple metals , 1981 .

[63]  W. Kohn,et al.  Non-local corrections to the electronic structure of metal surfaces , 1975 .

[64]  William L. Barr,et al.  Spectral Line Broadening by Plasmas , 1975, IEEE Transactions on Plasma Science.

[65]  R. Kubo.  Statistical-Mechanical Theory of Irreversible Processes : I. General Theory and Simple Applications to Magnetic and Conduction Problems , 1957 .

[66]  Saul A. Teukolsky,et al.  Black Holes, White Dwarfs, and Neutron Stars , 1983 .

[67]  R. Mccrory,et al.  Further Monte Carlo calculations for the classical one-component plasma in the range 100 ⩽ Γ ⩽ 160: The FCC lattice , 1984 .

[68]  W. Hubbard,et al.  Statistical mechanics of light elements at high pressure. IV - A model free energy for the metallic phase. [for Jovian type planet interiors] , 1976 .

[69]  David Pines,et al.  Elementary Excitations In Solids , 1964 .

[70]  H. Glyde,et al.  Dynamic susceptibility of Fermi liquids at finite temperature , 1976 .

[71]  T. V. Ramakrishnan,et al.  Disordered electronic systems , 1985 .

[72]  Hansen,et al.  Density-functional theory of freezing of hard-sphere mixtures into substitutional solid solutions. , 1986, Physical review letters.

[73]  Yip,et al.  Dynamical transition in a dense fluid approaching structural arrest. , 1985, Physical review letters.

[74]  E. Teller,et al.  Monte Carlo Study of a One‐Component Plasma. I , 1966 .

[75]  N. Itoh,et al.  Transport properties of dense matter , 1976 .

[76]  N. Itoh,et al.  Electrical and thermal conductivities of dense matter in the liquid metal phase. II - Low-temperature quantum corrections , 1984 .

[77]  H. Griem,et al.  Plasma shifts of the Lyman lines to shorter wavelengths in C VI , 1983 .

[78]  S. H. Vosko,et al.  Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis , 1980 .

[79]  Transport Coefficients in a Plasma. I. Pure Gas , 1967 .

[80]  S. Nagano,et al.  Sum Rule and Hydrodynamic Analyses of the Velocity Autocorrelation Function in Strongly Coupled Plasmas , 1980 .

[81]  S. Ichimaru,et al.  Stopping Power of Degenerate Electron Liquid at Metallic Densities , 1985 .

[82]  S. Hashimoto.  Stark Shifts of Ionized Helium Lines , 1982 .

[83]  D. Kelleher,et al.  Plasma shifts of hydrogenic-ion lines , 1980 .

[84]  J. Chihara.  Pair Correlation Functions in Liquid Metallic Hydrogen , 1984 .

[85]  R. Thomson.  Theory of Solids , 1962 .

[86]  S. Takeno,et al.  Dynamical Structure Factor and Collective Modes in Classical One-Component Plasmas , 1979 .

[87]  J. Bahcall,et al.  Solar Neutrinos. III. Composition and Magnetic-Field Effects and Related Inferences , 1971 .

[88]  H. Iyetomi.  Hypernetted Chain Approximation, Convolution Approximation and Perfect Screening in Coulombic Many-Particle System , 1984 .

[89]  David Chandler,et al.  Optimized Cluster Expansions for Classical Fluids. I. General Theory and Variational Formulation of the Mean Spherical Model and Hard Sphere Percus‐Yevick Equations , 1972 .

[90]  K. Utsumi,et al.  Screening Effect of Degenerate Electron Background in High Density Plasmas. I. Thermodynamic Properties , 1981 .

[91]  J. Springer,et al.  Integral equation solutions for the classical electron gas , 1973 .