Thermodynamics of Yukawa fluids near the one-component-plasma limit

Abstract

Thermodynamics of weakly screened (near the one-component-plasma limit) Yukawa fluids in two and three dimensions is analyzed in detail. It is shown that the thermal component of the excess internal energy of these fluids, when expressed in terms of the properly normalized coupling strength, exhibits the scaling pertinent to the corresponding one-component-plasma limit (the scalings differ considerably between the two-and three-dimensional situations). This provides us with a simple and accurate practical tool to estimate thermodynamic properties of weakly screened Yukawa fluids. Particular attention is paid to the two-dimensional fluids, for which several important thermodynamic quantities are calculated to illustrate the application of the approach.

Collective modes of two-dimensional classical Coulomb fluids

“…This functional form has been proven to be very useful for various fluids characterized by soft long-ranged interactions in 2D. 31,32,88,89 Appendix B: Simplified expressions for L and T The explicit expressions for L(k) and T (k) for the 2D Coulomb system are 21,55 L 2 (k) = ω 2 0 q + ω 2 0 ∞ 0 h(x) 2x 2 [1 − J 0 (qx) + 3J 2 (qx)] dx,…”

Thermodynamics of two-dimensional Yukawa systems across coupling regimes

“…4 from Ref. 56). Overall, the data points corresponding to the dependence u th (Γ/Γ m ) are confined to a relatively narrow range.…”

“…60, 77, 81, and 82 The emergence of RT scaling analogue for 2D systems has been discussed in the context of OCP with Coulomb and logarithmic interactions, Yukawa systems near the OCP limit, and inverse-power-law interactions. 56,65 The dependence of u th on Γ/Γ m in the strongly coupled regime is displayed in Fig. 2.…”

“…Thermodynamic properties of 2D Yukawa systems have been of considerable continuous interest in the last couple of decades, largely in the context of complex plasmas. 12,13,[54][55][56][57][58] However, to the best of our knowledge, no comprehensive results across coupling regimes along with simple and reliable approximations convenient for practical use have been proposed. In the present paper, we study systematically thermodynamics of 2D Yukawa systems in a very broad parameter regime, from very weakly interacting gaseous state to strongly interacting fluid and solid states.…”

Grüneisen parameter for strongly coupled Yukawa systems

“…43 In the OCP limit, the accurate analytical EoS 44 predicts c V ≃ 3.4. 45 The same estimate is obtained using the RT scaling (with δ = 3.1, as adopted here). This corresponds to the following approximation of γ G for 3D Yukawa melts:…”