Molecular dynamics simulations and generalized Lenard-Balescu calculations of electron-ion temperature equilibration in plasmas.

We study the problem of electron-ion temperature equilibration in plasmas. We consider pure H at various densities and temperatures and Ar-doped H at temperatures high enough so that the Ar is fully ionized. Two theoretical approaches are used: classical molecular dynamics (MD) with statistical two-body potentials and a generalized Lenard-Balescu (GLB) theory capable of treating multicomponent weakly coupled plasmas. The GLB is used in two modes: (1) with the quantum dielectric response in the random-phase approximation (RPA) together with the pure Coulomb interaction and (2) with the classical (ℏ→0) dielectric response (both with and without local-field corrections) together with the statistical potentials. We find that the MD results are described very well by classical GLB including the statistical potentials and without local-field corrections (RPA only); worse agreement is found when static local-field effects are included, in contradiction to the classical pure-Coulomb case with like charges. The results of the various approaches are all in excellent agreement with pure-Coulomb quantum GLB when the temperature is high enough. In addition, we show that classical calculations with statistical potentials derived from the exact quantum two-body density matrix produce results in far better agreement with pure-Coulomb quantum GLB than classical calculations performed with older existing statistical potentials.

[1]  G. Dimonte,et al.  Correlation effects on the temperature-relaxation rates in dense plasmas. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  一丸 節夫.  Statistical plasma physics , 1992 .

[3]  S Lebedev,et al.  The Physics of Inertial Fusion , 2004 .

[4]  M. Murillo,et al.  Pair-distribution functions of two-temperature two-mass systems: comparison of molecular dynamics, classical-map hypernetted chain, quantum Monte Carlo, and Kohn-Sham calculations for dense hydrogen. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  M. Murillo,et al.  Dense plasma temperature equilibration in the binary collision approximation. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  I. R. Mcdonald,et al.  Thermal relaxation in a strongly coupled two-temperature plasma , 1983 .

[7]  G. Torrie,et al.  Statistical mechanics of dense ionized matter. VII. Equation of state and phase separation of ionic mixtures in a uniform background , 1977 .

[8]  D. Gericke.  Kinetic approach to temperature relaxation in dense plasmas , 2005 .

[9]  T. Bornath,et al.  Energy relaxation in dense, strongly coupled two-temperature plasmas. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  James N Glosli,et al.  Beyond finite-size scaling in solidification simulations. , 2006, Physical review letters.

[11]  David F Richards,et al.  Molecular dynamics simulations of electron-ion temperature equilibration in an SF6 plasma. , 2009, Physical review letters.

[12]  Edward I. Moses,et al.  The National Ignition Facility: Ushering in a new age for high energy density science , 2009 .

[13]  G. Kelbg.  Theorie des Quanten‐Plasmas , 1963 .

[14]  J. Kress,et al.  Energy relaxation rates in dense hydrogen plasmas. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  R. Kosloff.  Propagation Methods for Quantum Molecular Dynamics , 1994 .

[16]  C. Deutsch,et al.  Classical modelization of symmetry effects in the dense high-temperature electron gas , 1978 .

[17]  A. A. Broyles,et al.  Method for determining the thermodynamic properties of the quantum electron gas. , 1967 .

[18]  Carlsson,et al.  Electron liquid at any degeneracy. , 1986, Physical review. B, Condensed matter.

[19]  B. Militzer,et al.  Strong coupling and degeneracy effects in inertial confinement fusion implosions. , 2010, Physical review letters.

[20]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[21]  C. Deutsch,et al.  Temperature-dependent Coulomb interactions in hydrogenic systems , 1981 .

[22]  R. London,et al.  Molecular dynamics simulations of temperature equilibration in dense hydrogen. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  R. London,et al.  Large-scale molecular dynamics simulations of dense plasmas: The Cimarron Project , 2012 .

[24]  J. Chihara.  Unified description of metallic and neutral liquids and plasmas , 1991 .

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

[26]  Guy Dimonte,et al.  Molecular-dynamics simulations of electron-ion temperature relaxation in a classical Coulomb plasma. , 2008, Physical review letters.

[27]  Thomas Luu,et al.  Effects of non-equilibrium particle distributions in deuterium-tritium burning , 2009 .

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

[29]  W. Ebeling,et al.  IMPROVED KELBG POTENTIAL FOR CORRELATED COULOMB SYSTEMS , 2003 .

[30]  Yousef Saad,et al.  Iterative methods for sparse linear systems , 2003 .

[31]  S. X. Hu,et al.  Effects of electron-ion temperature equilibration on inertial confinement fusion implosions. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[32]  Ericka Stricklin-Parker,et al.  Ann , 2005 .

[33]  F. Reif,et al.  Fundamentals of Statistical and Thermal Physics , 1965 .

[34]  S. Baalrud,et al.  Transport coefficients in strongly coupled plasmas , 2012 .

[35]  W. Ebeling,et al.  Temperature-dependent quantum pair potentials and their application to dense partially ionized hydrogen plasmas. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[37]  W. Selke,et al.  Monte Carlo and molecular dynamics of condensed matter systems , 1997 .

[38]  Dean L. Preston,et al.  Charged Particle Motion in a Highly Ionized Plasma , 2005 .

[39]  I. R. Mcdonald,et al.  Microscopic simulation of a strongly coupled hydrogen plasma , 1981 .

[40]  M. Murillo,et al.  Analysis of semi-classical potentials for molecular dynamics and Monte Carlo simulations of warm dense matter , 2007 .

[41]  K. Ng.  Hypernetted chain solutions for the classical one‐component plasma up to Γ=7000 , 1974 .

[42]  P. Hohenberg,et al.  Inhomogeneous Electron Gas , 1964 .

[43]  W. Kohn,et al.  Self-Consistent Equations Including Exchange and Correlation Effects , 1965 .