Adiabatic bulk modulus of elasticity for 2D liquid dusty plasmas

From the recently obtained equation of state (EOS) for two-dimensional (2D) liquid dusty plasmas, their various physical quantities have been derived analytically, such as the specific heat C-V, the Gruneisen parameter, the bulk modulus of elasticity, and the isothermal compressibility. Here, the coefficient of volumetric thermal expansion alpha(V) and the relative pressure coefficient alpha(P) of 2D liquid dusty plasmas are derived from their EOS. Using the obtained C-V, alpha(V), and alpha(P), the analytical expression of their heat capacity under constant-pressure conditions C-P is obtained. Thus, the heat capacity ratio, expressed as C-P/C-V, is analytically achieved. Then the adiabatic bulk modulus of elasticity is derived, so that the adiabatic sound speeds are obtained. These obtained results are compared with previous findings using a different approach. Published by AIP Publishing.