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Due to the complex interplay between surface adsorption and hydrodynamic interactions, representative microscopic mechanisms of colloidal membrane fouling are still not well understood. Numerical simulations overcome experimental…

Computational Physics · Physics 2018-03-22 Johannes Lohaus , Yannic Martin Perez , Matthias Wessling

A new approach to the modelling of wetting fronts in porous media on the Darcy scale is developed, based on considering the types (modes) of motion the menisci go through on the pore scale. This approach is illustrated using a simple model…

Fluid Dynamics · Physics 2012-03-07 Y. D. Shikhmurzaev , J. E. Sprittles

A model for studying the ultrametricity of the energy landscape in a disordered heteropolymer is presented. It is treated as a simplified model of a protein molecule in which amino acid residues are modeled as point masses. Pairwise…

Disordered Systems and Neural Networks · Physics 2026-03-16 A. Kh. Bikulov , A. P. Zubarev

The prediction of pressure and flow distributions inside porous membranes is important if the geometry deviates from single-bore tubular geometries. This task remains challenging, especially when considering local porosity variations caused…

Fluid Dynamics · Physics 2022-04-12 Denis Wypysek , Deniz Rall , Tobias Neef , Alex Jarauta , Marc Secanell , Matthias Wessling

This paper reviews theories, experimental data, and modeling methods for pre-Darcy flow in low-permeability porous media, where Darcy velocity shows nonlinear dependence on pressure gradients at sufficiently low pressures, a deviation from…

Geophysics · Physics 2024-01-11 Yuntian Teng , Zihao Li , Cheng Chen

Understanding the flow of yield stress fluids in porous media is a major challenge. In particular, experiments and extensive numerical simulations report a non-linear Darcy law as a function of the pressure gradient. In this letter, we…

In a recent paper [1] we developed a theoretical model to describe current transients arising during electrochemical deposition experiments performed at the bottom of sub-micrometric cylindrical vessels with permeable walls. In the present…

Chemical Physics · Physics 2011-12-09 P. C. T. DÁjello , M. L. Sartorelli , L. Lauck

We consider elongated cylindrical particles, modeling e.g. DNA fragments or nano-rods, while translocating under the action of an externally applied voltage through a solid state nanopore. Particular emphasis is put on the concomitant…

Soft Condensed Matter · Physics 2013-07-15 Sebastian Getfert , Thomas Töws , Peter Reimann

Fractured porous media or double porosity media are common in nature. At the same time, accurate modeling remains a significant challenge due to bi-modal pore size distribution, anisotropy, multi-field coupling, and various flow patterns.…

Geophysics · Physics 2024-06-13 Qi Zhang , Xia Yan , Jianli Shao

We consider an osmotic equilibrium between bulk solutions of polyelectrolyte bounded by semipermeable membranes and separated by a thin film of salt-free liquid. Although the membranes are neutral, the counter-ions of the polyelectrolyte…

Soft Condensed Matter · Physics 2012-01-19 Olga I. Vinogradova , Lyderic Bocquet , Artem N. Bogdanov , Roumen Tsekov , Vladimir Lobaskin

Models of grain boundary energy are essential for predicting the behavior of polycrystalline materials. Typical models represent the minimum boundary energy as a function of macroscopic boundary parameters. An energy model may allow for…

Materials Science · Physics 2025-10-21 Adam Morawiec

In the field of nanoconfined fluids, there are striking examples of deformation/transport coupling in which mechanical solicitation of the confining host and dynamics of the confined fluid impact each other. While this intriguing behavior…

Computational Physics · Physics 2024-04-01 Alexander Schlaich , Matthieu Vandamme , Marie Plazanet , Benoit Coasne

Unlike their model membrane counterparts, biological membranes are richly decorated with a heterogeneous assembly of membrane proteins. These proteins are so tightly packed that their excluded area interactions can alter the free energy…

Biological Physics · Physics 2017-08-23 Martin Lindén , Pierre Sens , Rob Phillips

Receptor-mediated endocytosis requires that the energy of adhesion overcomes the deformation energy of the plasma membrane. The resulting driving force is balanced by dissipative forces, leading to deterministic dynamical equations. While…

Subcellular Processes · Quantitative Biology 2019-11-20 Felix Frey , Falko Ziebert , Ulrich S. Schwarz

We consider a discrete-continuum model of a biomembrane with embedded particles. While the membrane is represented by a continuous surface, embedded particles are described by rigid discrete objects which are free to move and rotate in…

Analysis of PDEs · Mathematics 2021-04-29 Tobias Kies , Carsten Gräser

Microswimmers and active colloids often move in confined systems, including those involving interfaces. Such interfaces, especially at the microscale, may deform in response to the stresses of the flow created by the active particle. We…

Soft Condensed Matter · Physics 2026-01-14 Adam Hitin Bialus , Bhargav Rallabandi , Naomi Oppenheimer

By extending the concept of diffusion to the potential energy landscapes (PELs), we introduce the mean-squared energy difference (MSED) as a novel quantity to investigate the intrinsic properties of glass. MSED can provide a clear…

Disordered Systems and Neural Networks · Physics 2025-04-11 Dianmo Zhang , Deyan Sun , Xingao Gong

The rectification of electro-osmotic flows is important in micro/nano fluidics applications such as micro-pumps and energy conversion devices. Here, we propose a simple electro-osmotic diode in which colloidal particles are contained…

Mesoscale and Nanoscale Physics · Physics 2021-10-04 Shihori Koyama , Daisuke Inoue , Akihisa Okada , Hiroaki Yoshida

We study the geometric properties of the energy landscape of coarse-grained, off-lattice models of polymers by endowing the configuration space with a suitable metric, depending on the potential energy function, such that the dynamical…

Statistical Mechanics · Physics 2007-05-23 Lorenzo N. Mazzoni , Lapo Casetti

We develop a phase-field model for evaporation from a porous medium by explicitly considering a vapor component together with the liquid and gas phases in the system. The phase-field model consists of the conservation of mass (for phases…

Analysis of PDEs · Mathematics 2024-07-26 Tufan Ghosh , Carina Bringedal , Christian Rohde , Rainer Helmig