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We use an infinite-range Maier-Saupe model, with two sets of local quadrupolar variables and restricted orientations, to investigate the global phase diagram of a coupled system of two nematic subsystems. The free energy and the equations…

Statistical Mechanics · Physics 2015-06-05 D. B. Liarte , S. R. Salinas

The effect of cylindrical confinement on the phase behaviour of a system of parallel hard rods is studied using Onsager's second virial theory. The hard rods are represented as hard cylinders of diameter $D$ and length $L$, while the…

Soft Condensed Matter · Physics 2022-06-07 Szabolcs Varga , Yuri Martinez-Raton , Enrique Velasco

We develop the scaled particle theory to describe the thermodynamic properties and orientation ordering of a binary mixture of hard spheres (HS) and hard spherocylinders (HSC) confined in a disordered porous medium. Using this theory the…

Soft Condensed Matter · Physics 2019-02-12 M. Hvozd , T. Patsahan , M. Holovko

The isotropic-nematic (I-N) phase transition in a system of long straight rigid rods of length k on square lattices is studied by combining Monte Carlo simulations and theoretical analysis. The process is analyzed by comparing the…

Statistical Mechanics · Physics 2009-11-13 D. H. Linares , F. Roma , A. J. Ramirez-Pastor

Phase diagrams of fully ionized binary ionic mixtures are considered within the framework of the linear mixing formalism taking into account recent advances in understanding quantum one-component plasma thermodynamics. We have followed a…

High Energy Astrophysical Phenomena · Physics 2022-10-05 D. A. Baiko

The molecular mechanism of slip at the interface between polymer melts and weakly attractive smooth surfaces is investigated using molecular dynamics simulations. In agreement with our previous studies on slip flow of shear-thinning fluids,…

Soft Condensed Matter · Physics 2010-11-11 Nikolai V. Priezjev

We consider a system of anisotropic plates in the three-dimensional continuum, interacting via purely hard core interactions. We assume that the particles have a finite number of allowed orientations. In a suitable range of densities, we…

Mathematical Physics · Physics 2020-01-08 Margherita Disertori , Alessandro Giuliani , Ian Jauslin

This paper presents a numerical method for the simulation of fluid-structure interaction specifically tailored to interactions between Newtonian fluids and a large number of slender viscoelastic Cosserat rods. Because of their high…

Soft Condensed Matter · Physics 2022-01-13 S. Tschisgale , J. Fröhlich

Confinement breaks the translational symmetry of materials. Such symmetry breaking can be used to obtain configurations that are not otherwise accessible in the bulk. Here, we explore the effect of substrate-liquid interactions on the…

Statistical Mechanics · Physics 2015-12-03 Amir Haji-Akbari , Pablo G. Debenedetti

We address the existence and of solutions for the Euler-plate free-boundary system modeling an interaction of a three-dimensional inviscid fluid and an evolving plate. We prove the local existence and uniqueness of solutions for initial…

Analysis of PDEs · Mathematics 2025-01-23 Mustafa Sencer Aydın , Igor Kukavica , Amjad Tuffaha

Vertically vibrated rod-shaped granular materials confined to quasi-2D containers self organize into distinct patterns. We find, consistent with theory and simulation, a density dependent isotropic-nematic transition. Along the walls, rods…

Soft Condensed Matter · Physics 2009-11-11 J. Galanis , D. Harries , D. L. Sackett , W. Losert , R. Nossal

In this paper we propose an extension of the Cahn method to binary mixtures and study the problem of wetting near a two-phase critical point without any assumption on the form of intermolecular potentials. A comparison between Cahn's method…

Classical Physics · Physics 2008-12-18 Henri Gouin , Sergey Gavrilyuk

We construct a phenomenological Landau-de Gennes theory for hard colloidal rods by performing an order parameter expansion of the chemical-potential dependent grand potential. By fitting the coefficients to known results of Onsager theory,…

Soft Condensed Matter · Physics 2016-05-20 Jeffrey Everts , Melle Punter , Sela Samin , Paul van der Schoot , René van Roij

We calculate the interaction between two spherical colloidal particles embedded in the isotropic phase of a nematogenic liquid. The surface of the particles induces wetting nematic coronas that mediate an elastic interaction. In the weak…

Soft Condensed Matter · Physics 2009-11-07 P. Galatola , J. -B. Fournier

We present a model to describe complex phases observed at mesoscopic scales in ultrathin magnetic films. The model is based on the interaction between dipolar as well as quadrupolar magnetic moments. In the special case of strong…

Statistical Mechanics · Physics 2010-05-21 Daniel G. Barci , Daniel A. Stariolo

Ionic liquid crystals (ILCs) are anisotropic mesogenic molecules which additionally carry charges. This combination gives rise to a complex interplay of the underlying (anisotropic) contributions to the pair interactions. It promises…

Soft Condensed Matter · Physics 2019-05-28 Hendrik Bartsch , Markus Bier , S. Dietrich

In this paper, we present an Eulerian-Lagrangian methodology to simulate the interaction between a fluid-fluid interface and a solid particle in the presence of wetting effects. The target physical problem is represented by ternary phase…

Fluid Dynamics · Physics 2023-09-21 Fernando Kevin Miranda S. Cruz , Cristian Marchioli

A system of hard rectangles of size $m\times mk$ on a square lattice undergoes three entropy driven phase transitions with increasing density for large enough aspect ratio $k$: first from a low density isotropic to an intermediate density…

Statistical Mechanics · Physics 2015-01-28 Joyjit Kundu , R. Rajesh

Nonequilibrium interfacial thermodynamics is formulated in the presence of surface reactions for the study of diffusiophoresis in isothermal systems. As a consequence of microreversibility and Onsager-Casimir reciprocal relations,…

Chemical Physics · Physics 2018-12-24 Pierre Gaspard , Raymond Kapral

A Self Consistent Field Theory description of equilibrium, but non uniform, configurations adopted by semi flexible liquid crystal molecules is presented. Two cases are considered, isotropic-nematic phase boundaries, and topological defects…

Soft Condensed Matter · Physics 2025-03-03 Longyu Qing , Jorge Viñals
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