Dynamic Properties of One-Component Moderately Coupled Plasmas: The Mixed Löwner-Nevanlinna-Pick Approach

Dynamic characteristics of strongly coupled one‐component plasmas are studied within the moment approach with local constraints, similar to that of Schur. The dynamic structure factor is modeled by the.rst three terms of its asymptotic decomposition at high frequencies and its values at a few interpolation points on the real axis. This makes the dynamic structure factor to be a non‐rational function whose extension onto the upper half‐plane of complex frequency is holomorphic with a nonnegative imaginary part and a continuous extension to the real axis. A free parameter of the non‐rational model function of the suggested Schur‐like algorithm is obtained from the Shannon entropy maximization procedure. The results automatically satisfy not only the sum rules and other exact relations but, also, interpolate between the interpolation frequencies. A quantitative agreement is obtained with simulation data on the plasma dynamic properties. The method permits to take into account the energy dissipation processes so that the results of alternative theoretical approaches are included into the moment scheme and are complemented. The algorithm tested herewith can also be used in a broader setting (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)