Relation between Tolman length and isothermal compressibility for simple liquids  

作　　者：王小松 朱如曾 

机构地区：[1]Institute of Mechanics and Power Engineering,Henan Polytechnic University [2]State Key Laboratory of Nonlinear Mechanics,Institute of Mechanics,Chinese Academy of Sciences

出　　处：《Chinese Physics B》2013年第3期411-413,共3页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 11072242)

摘　　要：The Tolman length δ 0 of a liquid with a plane surface has attracted increasing theoretical attention in recent years,but the expression of Tolman length in terms of observable quantities is still not very clear.In 2001,Bartell gave a simple expression of Tolman length δ 0 in terms of isothermal compressibility.However,this expression predicts that Tolman length is always negative,which is contrary to the results of molecular dynamics simulations（MDS） for simple liquids.In this paper,this contradiction is analyzed and the reason for the discrepancy in the sign is found.In addition,we introduce a new expression of Tolman length in terms of isothermal compressibility for simple fluids not near the critical points under some weak restrictions.The Tolman length of simple liquids calculated by using this formula is consistent with that obtained using MDS regarding the sign.The Tolman length δ 0 of a liquid with a plane surface has attracted increasing theoretical attention in recent years,but the expression of Tolman length in terms of observable quantities is still not very clear.In 2001,Bartell gave a simple expression of Tolman length δ 0 in terms of isothermal compressibility.However,this expression predicts that Tolman length is always negative,which is contrary to the results of molecular dynamics simulations（MDS） for simple liquids.In this paper,this contradiction is analyzed and the reason for the discrepancy in the sign is found.In addition,we introduce a new expression of Tolman length in terms of isothermal compressibility for simple fluids not near the critical points under some weak restrictions.The Tolman length of simple liquids calculated by using this formula is consistent with that obtained using MDS regarding the sign.

关 键 词：Tolman length isothermal compressibility surface tension THERMODYNAMICS 

分 类 号：O561[理学—原子与分子物理]