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Imbibition phenomena have been widely used experimentally and theoretically to study the kinetic roughening of interfaces. We critically discuss the existing experiments and some associated theoretical approaches on the scaling properties…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Dube , M. Rost , M. Alava

We report an imbibition experiment in 2D random porous media in which height - height correlation function grows with a nonuniversal exponent; rather it depends on evaporation. We present an imbibition model which is consistent with the…

Condensed Matter · Physics 2016-08-31 P. B. Sunil Kumar , Debnarayan Jana

We present a numerical study on the dynamics of imbibition fronts in porous media using a pipe network model. This model quantitatively reproduces the anomalous scaling behavior found in imbibition experiments [Phys. Rev. E {\bf 52}, 5166…

Statistical Mechanics · Physics 2009-10-31 C. H. Lam , V. K. Horváth

Recently anomalous scaling properties of front broadening during spontaneous imbibition of water in Vycor glass, a nano-porous medium, were reported: the mean height and the width of the propagating front increase with time $t$ both…

Statistical Mechanics · Physics 2015-06-19 Deok-Sun Lee , Zeinab Sadjadi , Heiko Rieger

Recent experiments of imbibition in columnar geometries show interfacial fluctuations whose dynamic scaling is not compatible with the usual non local model governed by surface tension that results from a macroscopic description. To explore…

Statistical Mechanics · Physics 2009-11-13 M. Pradas , A. Hernández-Machado , M. A. Rodríguez

We study the depinning transition for models representative of each of the two universality classes of interface roughening with quenched disorder. For one of the universality classes, the roughness exponent changes value at the transition,…

Condensed Matter · Physics 2009-10-22 Hernan A. Makse , Luis A. Nunes Amaral

We report experiments on spontaneous imbibition of a viscous fluid by a model porous medium in the absence of gravity. The average position of the interface satisfies Washburn's law. Scaling of the interface fluctuations provides a dynamic…

Disordered Systems and Neural Networks · Physics 2009-11-10 J. Soriano , A. Mercier , R. Planet , A. Hernandez-Machado , M. A. Rodriguez , J. Ortin

We define a new model of interface roughening which has the property that the minimum of interface height is conserved locally during the growth. This model corresponds to the limit $q \to \infty$ of the q-color dimer deposition-evaporation…

Statistical Mechanics · Physics 2008-02-03 Hari M. Koduvely , Deepak Dhar

The interfacial resistance to evaporation, in particular for the case of water, is a longstanding issue. The previous data on its main characterizing parameter, the accommodation coefficient, manifest a dispersion over three orders of…

We argue that a proposed exponent identity [Phys. Rev. Lett 85, 1238 (2000)] for interface roughening in spontaneous imbibition is wrong. It rests on the assumption that the fluctuations are controlled by a single time scale, but liquid…

Soft Condensed Matter · Physics 2009-11-07 M. Dube , M. Rost , K. R. Elder , M. Alava , S. Majaniemi , T. Ala-Nissila

Growth and roughness of the interface of deposited polymer chains driven by a field onto an impenetrable adsorbing surface are studied by computer simulations in (2+1) dimensions. The evolution of the interface width W shows a crossover…

Soft Condensed Matter · Physics 2007-05-23 Frank W. Bentrem , R. B. Pandey , Fereydoon Family

Random deposition model with surface diffusion over several next nearest neighbours is studied. The results agree with the results obtained by Family for the case of nearest neighbour diffusion [F. Family, J. Phys. A 19(8), L441, 1986].…

Soft Condensed Matter · Physics 2008-05-07 Baisakhi Mal , Subhankar Ray , J. Shamanna

There are three fundamental physical processes that gives rise to the morphology of a surface: deposition, surface diffusion and desorption. The characteristics of the interfaces generated by the combination of deposition and surface…

Statistical Mechanics · Physics 2007-05-23 Juan R. Sanchez

We further study the interfaces arising in a situation of inhomogeneity. More precisely, we identify a characteristic length for the gradient percolation model, that enables us to tighten previous estimates established for it. This allows…

Probability · Mathematics 2009-07-10 Pierre Nolin

Wetting of surfaces with porous coating is relevant for a wide variety of technical applications, such as printing technologies and heat transfer enhancement. Imbibition and evaporation of liquids on surfaces covered with porous layers are…

Fluid Dynamics · Physics 2020-09-22 Noemi Ghillani , Michael Heinz , Tatiana Gambaryan-Roisman

The competition between local Brownian roughness and global parabolic curvature experienced in many random interface models reflects an important aspect of the KPZ universality class. It may be summarised by an exponent triple…

Probability · Mathematics 2018-11-14 Riddhipratim Basu , Shirshendu Ganguly , Alan Hammond

We present a scaling theory for the long time behavior of spontaneous imbibition in porous media consisting of interconnected pores with a large length-to-width ratio. At pore junctions the meniscus propagation in one or more branches can…

Disordered Systems and Neural Networks · Physics 2013-04-19 Zeinab Sadjadi , Heiko Rieger

Inhomogeneities in deposition may lead to formation of rough surfaces, whose height fluctuations can be probed directly by scanning microscopy, or indirectly by scattering. Analytical or numerical treatments of simple growth models suggest…

Condensed Matter · Physics 2009-10-28 Mehran Kardar

Interfaces in a model with a single, real nonconserved order parameter and purely dissipative evolution equation are considered. We show that a systematic perturbative approach, called the expansion in width and developed for curved domain…

Soft Condensed Matter · Physics 2009-10-31 H. Arodz , R. Pelka

We study the crossover scaling behavior of the height-height correlation function in interface depinning in random media. We analyze experimental data from a fracture experiment and simulate an elastic line model with non-linear couplings…

Statistical Mechanics · Physics 2015-09-30 Y. J. Chen , Stefano Zapperi , James P. Sethna
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