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We present a computer simulation study of a (6,12)-Lennard-Jones fluid confined to a slit pore, formed by two uniform planes. These interact via (3,9)-Lennard-Jones potential with the fluid particles. When the fluid approaches the…

Soft Condensed Matter · Physics 2009-02-20 N. Gribova , H. Maleki , A. Arnold , C. Holm , T. Schilling

It has recently been shown that identical, isotropic particles can form complex crystals and quasicrystals. In order to understand the relation between the particle interaction and the structure, which it stabilizes, the phase behavior of a…

Materials Science · Physics 2009-04-01 Michael Engel , Hans-Rainer Trebin

Using molecular dynamic simulations we study a waterlike model confined between two fixed hydrophobic plates. The system is tested for density, diffusion and structural anomalous behavior and compared with the bulk results. Within the range…

Chemical Physics · Physics 2013-03-06 Leandro Batirolla Krott , Marcia Cristina Bernardes Barbosa

The problem of surface effects at a fluid/force field boundary is investigated. A classical simple fluid with a locally introduced field simulating a solid is considered. For the case of a hard-core field, rigid, exponential, realistic, and…

Statistical Mechanics · Physics 2011-12-08 V. M. Zaskulnikov

The phase behavior of hard rectangular rods with length L and diameter D is studied in a narrow slit-like pore using the Parsons-Lee density functional theory. Using the restricted orientation approximation, we find strong adsorption at the…

Soft Condensed Matter · Physics 2018-09-12 Hamdollah Salehi , Sakine Mizani , Roohollah Aliabadi , Szabolcs Varga

It is difficult to derive the solid--fluid transition from microscopic models. We introduce particle systems whose potentials do not decay with distance and calculate their partition function exactly using a method similar to that for…

Statistical Mechanics · Physics 2015-09-04 Hisato Komatsu

The adhesion dynamics of a membrane confined between two permeable walls is studied using a two-dimensional hydrodynamic model. The membrane morphology decomposes into adhesion patches on the upper and the lower walls and obeys a nonlinear…

Soft Condensed Matter · Physics 2014-09-16 Thomas Le Goff , Paolo Politi , Olivier Pierre-Louis

Using mesoscopic interfacial models and microscopic density functional theory we study fluid adsorption at a dry wall decorated with three completely wet stripes of width $L$ separated by distances $D_1$ and $D_2$. The stripes interact with…

Statistical Mechanics · Physics 2019-05-02 Alexandr Malijevský , A. O. Parry , Martin Pospíšil

We introduce a model of attractive penetrable spheres by adding a short range attractive square well outside a penetrable core, and we provide a detailed analysis of structural and thermodynamical properties in one dimension using the exact…

Soft Condensed Matter · Physics 2009-09-24 Andres Santos , Riccardo Fantoni , Achille Giacometti

We study structural and thermophysical properties of a one-dimensional classical fluid made of penetrable spheres interacting via an attractive square-well potential. Penetrability of the spheres is enforced by reducing from infinite to…

Soft Condensed Matter · Physics 2009-09-24 Riccardo Fantoni , Achille Giacometti , Alexandr Malijevský , Andrés Santos

We study the growth rate of the hard squares lattice gas, equivalent to the number of independent sets on the square lattice, and two related models - non-attacking kings and read-write isolated memory. We use an assortment of techniques…

Combinatorics · Mathematics 2014-12-01 Yao-ban Chan , Andrew Rechnitzer

Motivated by the phenomenon of transport barriers in fusion plasma devices, we write a mathematical model of heat dispersion in a turbulent fluid with a transport barrier, properly idealized; in a scaling limit of the turbulence model with…

Probability · Mathematics 2025-10-21 Olga Aryasova , Franco Flandoli , Andrey Pilipenko

In this paper we compare the integrable hard hexagon model with the non-integrable hard squares model by means of partition function roots and transfer matrix eigenvalues. We consider partition functions for toroidal, cylindrical, and…

Mathematical Physics · Physics 2016-10-25 M. Assis , J. L. Jacobsen , I. Jensen , J-M. Maillard , B. M. McCoy

Self-diffusion and radial distribution functions are studied in a strongly confined Lennard-Jones fluid. Surprisingly, in the solid-liquid phase transition region, where the system exhibits dynamic coexistence, the self-diffusion constants…

Statistical Mechanics · Physics 2016-02-11 N. de Sousa , J. J. Sáenz , Frank Scheffold , A. García Martín , L. S. Froufe-Pérez

The problem of steady mixed convection boundary-layer flow on a cooled vertical permeable circular cylinder embedded in a fluid-saturated porous medium is studied. Here, we evaluate the flow and heat transfer characteristics numerically for…

Fluid Dynamics · Physics 2018-03-19 Jian-Jun Shu , Qi-Wen Wang , Ioan Pop

We perform a linear stability analysis of three-layer radial porous media and Hele-Shaw flows with variable viscosity in the middle layer. A nonlinear change of variables results in an eigenvalue problem that has time-dependent coefficients…

Fluid Dynamics · Physics 2019-08-30 Craig Gin , Prabir Daripa

A diffused interface model describing the evolution of two conterminous incompressible fluids in a porous medium is discussed. The system consists of the Cahn-Hilliard equation with Flory-Huggins logarithmic potential, coupled via surface…

Analysis of PDEs · Mathematics 2024-07-24 Nitu Lakhmara , Hari Shankar Mahato

We use Molecular Dynamics simulations to study how the nanopore and the fluid structures affects the dynamic, thermodynamic and structural properties of a confined anomalous fluid. The fluid is modeled using an effective pair potential…

Soft Condensed Matter · Physics 2015-06-23 Leandro B. Krott , José Rafael Bordin , Ney Marçal Barraz , Marcia C. Barbosa

Ferrofluids kept in place by permanent magnet quadrupoles can act as liquid walls to surround a second non-magnetic inside, resulting in a liquid fluidic channel with diameter size ranging from mm down to less than 10 micrometer. Micro…

The diffusion of particles trapped in long narrow channels occurs predominantly in one dimension. Here, molecular dynamics simulation is used to study the inertial dynamics of two-dimensional hard disks, confined to long, narrow,…

Soft Condensed Matter · Physics 2020-02-05 Mahdi Zarif , Richard K. Bowles