Abstract
In this Letter, we give closed-form solutions for the dielectric function and the electron density fluctuation spectrum in a weakly-collisional electron-ion plasma in thermodynamic equilibrium by solving the linearized Balescu-Lenard-Poisson kinetic equations. When the collisionless and collisional formulae for the fluctuation spectra are compared at long wavelengths, we find that electron-ion collisions are dominant and enhance the fluctuations for \ensuremath{\omega} near zero and near the ion-acoustic wave frequency.
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