# 分离压

## 定义

${\displaystyle \Pi _{D}=-{1 \over A}\left({\frac {\partial G}{\partial x}}\right)_{T,V,A}}$
• Πd - 分离压, N/m2
• A - 界面面积, m2
• G - 吉布斯能, J
• x - 具体, m
• T, V and A 表示在求导中，温度，体积和界面面积保持常数.

${\displaystyle \Pi _{D}=-{{A_{H}} \over {6\pi \delta _{0}^{3}}}}$

where:

• AH - Hamaker常数 J
• δ0 - 薄液膜厚度, m

${\displaystyle {\Pi _{D}(x,{{\zeta }_{\text{L}}(x)})}=\int d^{2}\rho {\int _{\zeta _{\text{L}}(x)-\zeta _{\text{S}}(x+\rho )}^{+\infty }}dz\omega (\rho ,z)}$

where:

• ω(ρ,z) - 固液相互作用势能, J/m6

${\displaystyle {\delta W_{\text{total}}}={{\partial W_{\text{total}}} \over {\partial {\zeta _{\text{L}}}}}\delta \zeta _{\text{L}}+{{\partial W_{\text{total}}} \over {\partial \zeta _{\text{L}}^{'}}}\delta \zeta _{\text{L}}^{'}=0}$

where:

• Wtotal - , 系统总能，包括表面能和固液相互作用势能, J/m2
• ζL - 液体表面形状, m
• ζ'L - 液体表面斜率, 1

## 参考文献

1. ^
2. ^ Hans-Jürgen Butt, Karlheinz Graf, Michael Kappl,"Physics and chemistry of interfaces", John Wiley & Sons Canada, Ltd., 1 edition, 2003, page 95 (Google books)页面存档备份，存于互联网档案馆
3. ^ Jacob N. Israelachvili,"Intermolecular and Surface Forces", Academic Press, Revised Third edition, 2011, page 267-268 (Google books)页面存档备份，存于互联网档案馆
4. ^ Mark O. Robbins, David, Andelman, and Jean-François Joanny, Phys. Rev. A 43, 4344, (1991). [2015-07-14]. （原始内容存档于2020-07-10）.
5. ^ Han Hu, Christopher R. Weinberger, and Ying Sun Nano Lett., 14 (12), pp 7131–7137 (2014). [2015-07-14]. （原始内容存档于2020-07-10）.