## electrocapillary equation

https://doi.org/10.1351/goldbook.E01942
A form of the @[email protected] equation which includes an expression of the phenomenon of @[email protected]: $s\ \mathrm{d}T- \tau \ \mathrm{d}p+\mathrm{d}\gamma +\sigma ^{\alpha }\ \mathrm{d}E+\sum \mathit{\Gamma }_{j}\ \mathrm{d}\mu _{j}=0$ where $$s$$ is the @[email protected] of @[email protected] of unit area of @[email protected], $$T$$ is the temperature, $$\tau$$ is the thickness or excess volume of unit area of the @[email protected], $$p$$ is the external pressure, $$\gamma$$ is the @[email protected], $$\sigma ^{\alpha }$$ is the free @[email protected] on phase $$\alpha$$ (areal amount of charge on the surface of phase $$\alpha$$), $$E$$ is the generalized potential, $$\mathit{\Gamma}_{j}$$ is the @[email protected], $$\mu _{j}$$ is the @[email protected] and $$j$$ is an electrically neutral component of one or other of the phases; the sum is over all the components but one in each phase.
Source:
PAC, 1986, 58, 437. (Interphases in systems of conducting phases (Recommendations 1985)) on page 446 [Terms] [Paper]