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An analysis of water clustering is used to study the quasi-2D percolation transition of water adsorbed at planar hydrophilic surfaces. Above the critical temperature of the layering transition (quasi-2D liquid-vapor phase transition of…

Statistical Mechanics · Physics 2009-11-11 A. Oleinikova , I. Brovchenko , A. Geiger

Percolation problems appear in a large variety of different contexts ranging from the design of composite materials to vaccination strategies on community networks. The key observable for many applications is the percolation threshold.…

Statistical Mechanics · Physics 2025-06-16 Fabian Coupette , Tanja Schilling

Percolation is a concept widely used in many fields of research and refers to the propagation of substances through porous media (e.g., coffee filtering), or the behaviour of complex networks (e.g., spreading of diseases). Percolation…

Soft Condensed Matter · Physics 2015-12-02 Wolf B. Dapp , Martin H. Müser

A theory is derived for the nonequilibrium probability currents of the capillary interaction which determines the pair correlation function near contact. This yields an analytic expression for the equation of state, P = P(N/V,T), of wet…

Soft Condensed Matter · Physics 2009-11-13 A. Fingerle , S. Herminghaus

The agglomeration of particles caused by the formation of capillary bridges has a decisive impact on the transport properties of a variety of at a first sight very different systems such as capillary suspensions, fluidized beds in chemical…

Fluid Dynamics · Physics 2021-09-24 Lei Yang , Marcello Sega , Steffen Leimbach , Sebastian Kolb , Jürgen Karl , Jens Harting

When sand flows out of a funnel onto a surface, a three dimensional pile that is stabilized by friction grows taller as it spreads. Here we investigate an idealized two dimensional analogue: spreading of a pile of monodisperse oil droplets…

Soft Condensed Matter · Physics 2022-12-20 Johnathan Hoggarth , Jean-Christophe Ono-dit-Biot , Kari Dalnoki-Veress

We present a percolation model that is inspired by recent works on immiscible two-phase flow in a mixed-wet porous medium made of a mixture of grains with two different wettability properties. The percolation model is constructed on a dual…

Statistical Mechanics · Physics 2025-09-24 Jnana Ranjan Das , Santanu Sinha , Alex Hansen , Sitangshu B. Santra

We describe theoretically and validate experimentally the mechanism of formation of capillary bridges during pulling a beaded chain out from a liquid with a planar surface. There are two types of capillary bridges present in this system,…

Soft Condensed Matter · Physics 2016-11-29 Filip Dutka , Zbigniew Rozynek , Marek Napiórkowski

Global physical properties of random media change qualitatively at a percolation threshold, where isolated clusters merge to form one infinite connected component. The precise knowledge of percolation thresholds is thus of paramount…

Statistical Mechanics · Physics 2008-01-13 Richard A. Neher , Klaus Mecke , Herbert Wagner

We consider theoretically liquid rise against gravity in capillaries with height-dependent cross-section. For a conical capillary made from a hydrophobic surface and dipped in a liquid reservoir, the equilibrium liquid height depends on the…

Soft Condensed Matter · Physics 2007-05-23 Yoav Tsori

We propose a model for increasing liquid saturation in a granular packing which can account for liquid redistribution at saturation levels beyond the well-studied capillary bridge regime. The model is capable of resolving and combining…

Soft Condensed Matter · Physics 2015-09-02 Konstantin Melnikov , Roman Mani , Falk K. Wittel , Marcel Thielmann , Hans J. Herrmann

We employ a novel fluid-particle model to study the shearing behavior of granular soils under different saturation levels, ranging from the dry material via the capillary bridge regime to higher saturation levels with percolating clusters.…

Soft Condensed Matter · Physics 2016-06-17 Konstantin Melnikov , Falk K. Wittel , Hans J. Herrmann

In the case of media comprised of impermeable particles, fluid flows through voids around impenetrable grains. For sufficiently low concentrations of the latter, spaces around grains join to allow transport on macroscopic scales, whereas…

Soft Condensed Matter · Physics 2023-02-08 A. Ballow , P. Linton , D. J. Priour

The percolation transitions on hyperbolic lattices are investigated numerically using finite-size scaling methods. The existence of two distinct percolation thresholds is verified. At the lower threshold, an unbounded cluster appears and…

Statistical Mechanics · Physics 2009-11-13 Seung Ki Baek , Petter Minnhagen , Beom Jun Kim

Percolation in systems made up of randomly placed impermeable grains is often examined in the context of system spanning clusters of connected solids forming above a relatively low critical grain density $\rho_{c1}$ or networks of…

Disordered Systems and Neural Networks · Physics 2025-10-10 D. J. Priour

When a colloidal suspension is dried, capillary pressure may overwhelm repulsive electrostatic forces, assembling aggregates that are out of thermal equilibrium. This poorly understood process confers cohesive strength to many geological…

Soft Condensed Matter · Physics 2020-03-25 Ali Seiphoori , Xiao-guang Ma , Paulo E. Arratia , Douglas J. Jerolmack

We observed the appearance of capillary bridges in a granular medium consisting of glass beads after adding small amounts of liquid. We found the initial bridge formation depending on the bead roughness. Furthermore we obtained a statistics…

Statistical Mechanics · Physics 2007-05-23 Dimitrios Geromichalos , Mika M. Kohonen , Mario Scheel , Stephan Herminghaus

The margins within the geographic range of species are often specific in terms of ecological and evolutionary processes, and can strongly influence the species' reaction to climate change. One of the frequently observed features at range…

Populations and Evolution · Quantitative Biology 2020-02-28 R. Juhász , B. Oborny

Capillary rise occurs when a thin tube contacts a liquid, which rises against gravity due to the capillary force. This phenomenon is present in a wide range of everyday and industrial settings and provides the means to measure the physical…

Soft Condensed Matter · Physics 2026-04-20 Anagha Datar , Joonas Ryssy , Aku O. Toivonen , Matilda Backholm

We investigate a gas of wet granular particles, covered by a thin liquid film. The dynamic evolution is governed by two-particle interactions, which are mainly due to interfacial forces in contrast to dry granular gases. When two wet grains…

Soft Condensed Matter · Physics 2013-05-29 Stephan Ulrich , Timo Aspelmeier , Annette Zippelius , Klaus Roeller , Axel Fingerle , Stephan Herminghaus
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