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A microscopic model of the lipid membrane is constructed that provides analytically tractable description of the physical mechanism of the first order liquid-gel phase transition. We demonstrate that liquid-gel phase transition is…

Soft Condensed Matter · Physics 2018-07-04 Boris Kheyfets , Timur Galimzyanov , Sergei Mukhin

We propose a very simple but realistic enough model which allows to include a large number of molecules in molecular dynamics MD simulations of these bilayers, but nevertheless taking into account molecular charge distributions, flexible…

Soft Condensed Matter · Physics 2009-11-13 Z. Gamba

The shift in water security demands improvements in alternative solutions such as saltwater desalination. One of the most efficient technologies in this scope is the reverse osmosis systems, a technology based on a membrane separation…

Soft Condensed Matter · Physics 2024-06-19 João P. K. Abal , Marcia C. Barbosa

The dynamics of sedimenting particles under gravity are surprisingly complex due to the presence of effective long-ranged forces. When the particles are polar with a well-defined symmetry axis and non-uniform density, recent theoretical…

Soft Condensed Matter · Physics 2023-02-22 Kavinda J. Nissanka , Xiaolei Ma , Justin C. Burton

Reverse osmosis and nanofiltration are membrane-based methods that remove solutes from solvent, for instance they remove salts from water (desalination). In these methods, an applied pressure is the driving force for solvent to pass the…

Chemical Physics · Physics 2024-01-23 P. M. Biesheuvel , S. Porada , B. Blankert , I. Ryzhkov , M. Elimelech

An ongoing problem in the study of a classical many-body system is the characterization of its equilibrium behaviour by theory or numerical simulation. For purely repulsive particles, locating the melting line in the pressure-temperature…

Statistical Mechanics · Physics 2012-03-02 Santi Prestipino

We prove uniqueness and stability for an inverse boundary problem associated to an anisotropic elliptic equation arising in the modeling of prestressed elastic membranes.

Analysis of PDEs · Mathematics 2010-11-09 Giovanni Alessandrini , Elio Cabib

We investigate the emergent interactions between two active Brownian particles coupled by an attractive harmonic potential and in contact with a thermal reservoir. By analyzing the stationary distribution of their separation, we demonstrate…

Statistical Mechanics · Physics 2025-10-08 Ritwick Sarkar , Sreya Chatterjee , Urna Basu

Recently, the topic of Casimir repulsion has received a great deal of attention, largely because of the possibility of technological application. The general subject has a long history, going back to the self-repulsion of a conducting…

High Energy Physics - Theory · Physics 2013-05-30 Kimball A. Milton , Prachi Parashar , Nima Pourtolami , Iver Brevik

We study fluid structure and water-like anomalies of a system constituted by dimeric particles interacting via a purely repulsive core-softened potential by means of integral equation theories. In our model, dimers interact through a…

Soft Condensed Matter · Physics 2017-03-08 Gianmarco Munaò , Franz Saija

Using collision driven discrete molecular dynamics (DMD), we investigate the thermodynamics and dynamics of systems of 500 dumbbell molecules interacting by a purely repulsive ramp-like discretized potential, consisting of $n$ steps of…

Soft Condensed Matter · Physics 2009-11-11 Paulo A. Netz , Sergey Buldyrev , Marcia C. Barbosa , H. E. Stanley

Although a hydrophobic microtexture at a solid surface most often reflects rain owing to the presence of entrapped air within the texture, it is much more challenging to repel hot water. As it contacts a colder material, hot water generates…

We consider a lattice model of active matter with exclusion and derive its hydrodynamic description exactly. The hydrodynamic limit leads to an integro-differential equation for the density of particles with a given orientation. Volume…

Mathematical Physics · Physics 2023-10-31 James Mason , Clement Erignoux , Robert Jack , Maria Bruna

A new formulation of the plasma resistivity that arises from the collisional momentum-transfer rate between electrons and ions is presented. The resistivity computed herein is shown to depend not only on the temperature and density but also…

We derive a hydrodynamic model for the motion of inertial particles with a spherical hard core, interacting through lubrication forces and pairwise repulsive forces. The repulsion arises from the assumption that each particle is surrounded…

Analysis of PDEs · Mathematics 2026-01-21 Aline Lefebvre-Lepot , Muhammed Ali Mehmood , Charlotte Perrin , Ewelina Zatorska

A phenomenological model for the unbinding transition of multi-component fluid membranes is proposed, where the unbinding transition is described using a theory analogous to Flory-Huggins theory for polymers. The coupling between the…

Soft Condensed Matter · Physics 2009-11-07 Shigeyugi Komura , David Andelman

We apply specular and off-specular neutron reflection at the hydrophobic silicon/water interface to check for evidence of nanoscopic air bubbles whose presence is claimed after an ad hoc procedure of solvent exchange. Nanobubbles and/or a…

Soft Condensed Matter · Physics 2017-10-13 Philipp Gutfreund , Marco Maccarini , Andrew Dennison , Max Wolff

Recent developments in lipid membrane models for simulations are reviewed. To reduce computational costs, various coarse-grained molecular models have been proposed. Among them, implicit solvent (solvent-free) molecular models are…

Soft Condensed Matter · Physics 2015-05-13 Hiroshi Noguchi

The physics of air-water interfaces plays a central role in modern theories of the hydrophobic effect. Implementing these theories, however, has been hampered by the difficulty of addressing fluctuations in the shape of such soft…

Statistical Mechanics · Physics 2016-05-27 Suriyanarayanan Vaikuntanathan , Phillip L Geissler

We define a lattice model for the interaction of a polymer with water. We solve the model in a suitable approximation. In the case of a non-polar homopolymer, for reasonable values of the parameters, the polymer is found in a non-compact…

Statistical Mechanics · Physics 2009-10-31 Pierpaolo Bruscolini , Lapo Casetti