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Effect of Confinement on Capillary Phase Transition in Granular Aggregates

2020/08/10 by Siavash Monfared, Tingtao Zhou, Jose E. Andrade +8
Materials Science · Mathematics · Physics and Astronomy · #Capillary action #Condensed matter physics #Critical exponent #Geometry #Granular material #Ising model #Lattice (music) #Material Dynamics and Properties #Materials science #Mathematics #Phase transition #Physics #Pickering emulsions and particle stabilization #Porosity #Porous medium #Quantum mechanics #Renormalization group #Scaling #Theoretical and Computational Physics #Thermodynamics #Universality (dynamical systems) #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.125.255501

published as Phys. Rev. Lett. 125, 255501 (2020)

arxiv created 2020/08/10 · openalex publication_date 2020/12/15 · arxiv updated 2021/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Using a 3D mean-field lattice-gas model, we analyze the effect of confinement on the nature of capillary phase transition in granular aggregates with varying disorder and their inverse porous structures obtained by interchanging particles and pores. Surprisingly, the confinement effects are found to be much less pronounced in granular aggregates as opposed to porous structures. We show that this discrepancy can be understood in terms of the surface-surface correlation length with a connected path through the fluid domain, suggesting that this length captures the true degree of confinement. We also find that the liquid-gas phase transition in these porous materials is of second order nature near capillary critical temperature, which is shown to represent a true critical temperature, i.e., independent of the degree of disorder and the nature of the solid matrix, discrete or continuous. The critical exponents estimated here from finite-size scaling analysis suggest that this transition belongs to the 3D random field Ising model universality class as hypothesized by F. Brochard and P.G. de Gennes, with the underlying random fields induced by local disorder in fluid-solid interactions.

Citations