It is well-known that the Tolman length which characterizes the first order curvature corrections to surface tension is associated with the asymmetry in fluid phase coexistence. Recently, we have developed a global renormalization group (GRG) method for describing such asymmetry both near to and far from the critical point. In this work, we use the GRG method and an approximate thermodynamic relation to calculate Tolman lengths of one-component simple fluids in a wide temperature range including the critical vicinity where the density functional theory and the square-gradient theory is inapplicable. Far from the critical point, the accuracy of this work is comparable to the density functional theory and the square-gradient theory. Near the critical point, the GRG method yields the scaling behavior consistent with the prediction of complete scaling theory. We also obtain an accurate method for calculating the near-critical surface tensions.

众所周知，表征表面张力一阶曲率校正的托尔曼长度与流体共存的不对称性有关。最近，我们开发了一种全局重整化群 (GRG) 方法，用于描述靠近和远离临界点的这种不对称性。在这项工作中，我们使用 GRG 方法和近似热力学关系计算单组分简单流体在宽温度范围内的托尔曼长度，包括密度泛函理论和平方梯度理论不适用的临界附近。远非临界点，这项工作的准确性可与密度泛函理论和平方梯度理论相媲美。在临界点附近，GRG 方法产生与完全标度理论的预测一致的标度行为。我们还获得了一种计算近临界表面张力的准确方法。