The “electrostatic pressure” is caused by the repulsion between shielded dust particles and arises due to an inhomogeneous distribution of dust within the plasma background. An equation of state, which relates this pressure to the dust density, is obtained and some properties of this equation are discussed. Furthermore, it is shown that for typical experimental parameters, this pressure could be significant and a good fraction of the background plasma pressure. Using this equation of state, the dispersion relation of the sound wave is obtained which shows that it slows down with increasing dust density.
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