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Starting from a three-dimensional description of an active nematic layer, we employ an asymptotic theory to derive a series of low-dimensional continuum models that capture the coupled dynamics of flat and curved films, including variations…

Soft Condensed Matter · Physics 2025-06-23 Mehrana R. Nejad , L. Mahadevan

We investigate theoretically the effect of gravity on a plate-sphere colloidal mixture by means of an Onsager-like density functional to describe the bulk, and sedimentation path theory to incorporate gravity. We calculate the stacking…

Soft Condensed Matter · Physics 2022-03-09 T. Eckert , M. Schmidt , D. de las Heras

Entropy-driven equilibrium phase behaviour of hard particle dispersions can be understood from excluded volume arguments only. While monodisperse hard spheres only exhibit a fluid-solid phase transition, anisotropic hard particles such as…

Soft Condensed Matter · Physics 2017-12-07 Á. González García , H. H. Wensink , H. N. W. Lekkerkerker , R. Tuinier

We examine the fluid phase behaviour of the binary mixture of hard superellipses using the scaled particle theory The superellipse is a general two dimensional convex object which can be tuned between circular and rectangular shapes…

Soft Condensed Matter · Physics 2020-09-02 Sakine Mizani , Peter Gurin , Roohollah Aliabadi , Hamdollah Salehi , Szabolcs Varga

Shape anisotropy of colloidal nanoparticles has emerged as an important design variable for engineering assemblies with targeted structure and properties. In particular, a number of polyhedral nanoparticles have been shown to exhibit a rich…

Soft Condensed Matter · Physics 2013-09-13 Mihir R. Khadilkar , Umang Agarwal , Fernando A. Escobedo

We study the phase behaviour of hard rods with length polydispersity, treated within a simplified version of the Onsager model. We give a detailed description of the unusual phase behaviour of the system when the rod length distribution has…

Soft Condensed Matter · Physics 2009-11-07 Alessandro Speranza , Peter Sollich

We construct a density functional for the lattice gas / Ising model on square and cubic lattices based on lattice fundamental measure theory. In order to treat the nearest-neighbor attractions between the lattice gas particles, the model is…

Statistical Mechanics · Physics 2021-08-25 M. Maeritz , M. Oettel

We introduce a lattice model for active nematic composed of self-propelled apolar particles,study its different ordering states in the density-temperature parameter space, and compare with the corresponding equilibrium model. The active…

Soft Condensed Matter · Physics 2017-07-26 Rakesh Das , Manoranjan Kumar , Shradha Mishra

Bulk properties of ionic liquid crystals are investigated using density functional theory. The liquid crystal molecules are represented by ellipsoidal particles with charges located in their center or at their tails. Attractive interactions…

Soft Condensed Matter · Physics 2015-05-18 S. Kondrat , M. Bier , L. Harnau

We present a scaled particle density functional study of two-dimensional binary mixtures of hard convex particles with one or both species being ellipses. In particular, we divide our study into two parts. The first part is devoted to the…

Soft Condensed Matter · Physics 2022-06-07 Yuri Martinez-Raton

We study binary mixtures of hard particles, which exclude up to their $k$th nearest neighbors ($k$NN) on the simple cubic lattice and have activities $z_k$. In the first model analyzed, point particles (0NN) are mixed with 1NN ones. The…

Soft Condensed Matter · Physics 2019-09-11 Nathann T. Rodrigues , Tiago J. Oliveira

We present a modification of the generalized Flory dimer theory to investigate the nematic (N) to isotropic (I) phase transition in chain fluids. We focus on rigid linear fused hard-sphere (LFHS) chain molecules in this study. A generalized…

Soft Condensed Matter · Physics 2009-10-31 K. M. Jaffer , S. B. Opps , D. E. Sullivan

We extend our previous work on monolayers of uniaxial particles [J. Chem. Phys. 140, 204906 (2014)] to study the effect of particle biaxiality on the phase behavior of liquid-crystal monolayers. Particles are modelled as board-like hard…

Soft Condensed Matter · Physics 2015-06-23 Miguel Gonzalez-Pinto , Yuri Martinez-Raton , Enrique Velasco , Szabolcs Varga

The structure of a molecular liquid, in both the nematic liquid crystalline and isotropic phases, around a cylindrical macroparticle, is studied using density functional theory. In the nematic phase the structure of the fluid is highly…

Soft Condensed Matter · Physics 2009-11-11 David L. Cheung , Michael P. Allen

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

The phase behaviour of colloidal dispersions is interesting for fundamental reasons and for technological applications such as photonic crystals and electronic paper. Sedimentation, which in everyday life is relevant from blood analysis to…

We introduce a density-functional formalism based on the Parsons-Lee and the generalized van der Waals theories in order to describe the thermodynamics of anisotropic particle systems with steric interactions. For ellipsoids of revolution,…

Soft Condensed Matter · Physics 2018-12-31 Eduardo dos S. Nascimento

We use Onsager theory and the local density approximation to study sedimentation-diffusion equilibrium density profiles of binary mixtures of thick and thin hard rods. We construct stacking diagrams for three diameter ratios, and find that…

Soft Condensed Matter · Physics 2016-06-30 Tara Drwenski , Patrick Hooijer , René van Roij

Using isobaric Monte Carlo simulations, we map out the entire phase diagram of a system of hard cylindrical particles of length $L$ and diameter $D$, using an improved algorithm to identify the overlap condition between two cylinders. Both…

Soft Condensed Matter · Physics 2021-03-31 Joyce T. Lopes , Flavio Romano , Eric Grelet , Luis F. M. Franco , Achille Giacometti

We explore reshaping of nematoelastic films upon imbibing an isotropic solvent under conditions when isotropic and nematic phases coexist. The structure of the interphase boundary is computed taken into account the optimal nematic…

Soft Condensed Matter · Physics 2017-08-09 A. P. Zakharov , L. M. Pismen