Abstract
Previously, the relationship between internal energy and pressure of two-dimensional (2D) strongly coupled liquid dusty plasmas was assumed to be approximately the same as that for the ideal gas [Oxtoby et al., Phys. Rev. Lett. 111, 015002 (2013)], which is a non-coupling system. To study the strong coupling effects on this relationship, the internal energy and pressure of 2D liquid dusty plasmas are obtained using equilibrium Yukawa molecular dynamics simulations. It is found that, for 2D Yukawa liquids, the internal energy and pressure follow a much more complicated relationship than that for the ideal gas. Especially at lower temperatures and for larger screening parameters, their relationship deviates from the ideal gas behavior much more. An analytical relationship between the internal energy and pressure for 2D Yukawa liquids has been obtained empirically by fitting.
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