electrocapillary equation

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.
PAC, 1986, 58, 437. (Interphases in systems of conducting phases (Recommendations 1985)) on page 446 [Terms] [Paper]