Reconstruction of internal longitudinal conductivity of non-ideal plasmas by exact relations and sum rules

The classical method of moments is applied to the analysis of the external and internal dynamic conductivities of dense plasmas. The Nevanlinna formula with only one nonzero f-sum rule taken into account reproduces the Drude-Lorentz model expression for the internal conductivity. The inclusion of the second non-zero sum rule produces a new model which includes the non-monotonicity of the conductivity beyond the domain of applicability of the Drude-Lorentz model. An extensive mathematical analysis of recent simulation data and reflectivity measurements of shock-compressed dense xenon plasmas is carried out.

[1]  M. Dietzsch,et al.  “Atomic Flat” Silicon Surface for the Calibration of Stylus Instruments , 2006 .

[2]  I. Morozov,et al.  Internal versus external conductivity of a dense plasma: many-particle theory and simulations. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  I. M. Tkachenko,et al.  Sum rules and exact relations for quantal Coulomb systems , 2003 .

[4]  I. Morozov,et al.  Frequency-dependent reflectivity of shock-compressed xenon plasmas. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  J. Kress,et al.  Electrical conductivity for warm, dense aluminum plasmas and liquids. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  H. Reinholz,et al.  Reflectivity of shock compressed xenon plasma , 2002, physics/0207040.

[7]  V. Mintsev,et al.  Reflectivity of Dense Plasma , 1989 .