Journal of Plasma Physics

Letter to the Editor

Low-frequency electrostatic wave in a metallic electron-hole-ion plasma with nanoparticles

P. K. SHUKLAa1 p1 and G. E. MORFILLa2

a1 Institut für Theoretische Physik IV, Ruhr-Universität Bochum, D-44780 Bochum, Germany (

a2 Max-Planck Institut für extraterrestrische Physik, D-85740 Garching, Germany


We investigate the dispersion property of a low-frequency electrostatic wave in a dense metallic electron-hole-ion plasma with nanoparticles. The latter are charged due to the field emission, and hence the metallic nanoparticles/nanotubes can be regarded as charged dust rods surrounded by degenerate electrons and holes, and non-degenerate ions. By using a quantum hydrodynamic model for the electrons and holes, we obtain the electron and hole number density perturbations, while the ion and dust rod number density perturbations follow the classical expressions. A dispersion relation for the low-frequency electrostatic wave in our multi-species dense metallic plasma is derived and analyzed. The possibility of exciting non-thermal electrostatic waves is also discussed.

(Received April 03 2009)

(Accepted April 20 2009)

(Online publication June 12 2009)


p1 Also at Department of Physics, Umeå University, SE-90187 Umeå, Sweden; Scottish Universities Physics Alliance (SUPA), Department of Physics, University of Strathclyde, Glasgow G4 0NG, Scotland, United Kingdom; Science and Technology Facilities Council (STFC) Centre for Fundamental Physics, Rutherford Appleton Laboratory, Harwell Science and Innovation Centre, Chilton, Didcot, Oxon, OX11 0QX, United Kingdom; GoLP/Instituto de Plasmas e Fusão Nuclear, Instituto Superior Técnico, 1049-001 Lisboa, Portugal; School of Physics, University of KwaZulu-Natal, 4000 Durban, South Africa