Disordered porous materials

Capillary Condensation and Hysteresis in Disordered Porous Materials... 

Once the correlation functions have been solved, adsorption isotherms can be obtained from the Fourier transform of the direct correlation function Cc(r) [55]. The ROZ integral equation approach is noteworthy in that it yields model adsorption isotherms for disordered porous materials that have irregular pore geometries without resort to molecular simulation. In contrast, most other disordered structural models of porous solids implement GCMC or other simulation techniques to compute the adsorption isothem. However, no method has yet been demonstrated for determining the pore structure of model disordered or templated structures from experimental isotherm measurements using integral equation theory. 

Sokolowska, Z., Sokolowski, S. and Pizio, O. (2002). Modelling of adsorption of gases in disordered porous materials. Acta Agrophys., 84, 111-122. 

Kaminsky, R.D., and Monson, P.A., A simple mean field theory of adsorption in disordered porous materials, Chem. Eng. Sci., 49(17), 2967-2978 (1994). 

Equation (8-11), named Porod law, applies to isotropic two-electron density systems with sharp interfaces, such as disordered porous materials and other two-phase systems whose relevant stracture feature is the interface surface area. 

It is not clear how two phases coexist in disordered pores as alternating domains or as two infinite networks. Disordered porous materials with low porosity are more reminiscent of interconnected cylindrical pores and therefore a domain structure seems to be more probable [299, 311-315]. In highly porous materials, such as highly porous aerogels, infinite networks of two coexisting phases may be assumed. The critical point of fluids in disordered pores is expected to belong to the universality class of the random-field Ising model [316-318]. 

E. Kierlik, M. Rosinberg, G. Taqus, P. Viot, Equilibrium and out-of-equilibrium (hysteretic) behavior of fluids in disordered porous materials Theoretical predictions, Phys. Chem. Chem. Phys. 3 (2001)1201-1206. 

E. Kierlik, P. Monson, M. Rosinberg, L. Sarkisov, G. Tarjus, Capillary condensation in disordered porous materials Hysteresis versus equilibrium behavior, Phys. Rev. Lett. 87 (2001) 055701. 

L. Sarkisov, P. Monson, Lattice model of adsorption in disordered porous materials Mean-field density functional theory and Monte Carlo simulations, Phys. Rev. E 65 (2001) 011202. 

Bruggeman [39], This equation is reported to predict successfiiUy the behavior of a disordered porous material [40-42],... 

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