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Related papers: Polydispersity stabilizes Biaxial Nematic Liquid C…

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We consider the hydrodynamics for the biaxial nematic phase characterized by a field of orthonormal frame, which can be derived from a molecular-theory-based tensor model. In dimension two and three, we establish the local well-posedness…

Analysis of PDEs · Mathematics 2022-07-01 Sirui Li , Chenchen Wang , Jie Xu

Surface-induced profiles of both nematic and smectic order parameters in a nematic liquid crystal, ranging from an orienting substrate to "infinity", were evaluated numerically on base of an extended Landau theory. In order to obtain a…

Soft Condensed Matter · Physics 2009-10-31 Joachim Stelzer , Ralf Bernhard

A generalized model taking into account the photoisomerization influence on the nematic ordering is presented. This generalized theory is used to investigate the effect of the nonextensivity on the concentration dependence of the long-range…

Statistical Mechanics · Physics 2009-11-11 Ozhan Kayacan

The phase behavior of a system composed of spherical particles with a monomodal size distribution is investigated theoretically within the context of the van der Waals approximation for polydisperse fluids. It is shown how the binodals,…

Statistical Mechanics · Physics 2009-10-31 L. Bellier-Castella , H. Xu , M. Baus

Concentrated colloidal suspensions of nanorods often exhibit liquid-crystalline (LC) behavior. The transition to a nematic LC phase, with long-range orientational order of the particles, is usually well captured by Onsager's theory for hard…

Soft Condensed Matter · Physics 2023-10-13 Jeongmo Kim , Zijun Wang , Khalid Lahlil , Patrick Davidson , Thierry Gacoin , Jongwook Kim

Isotropic-Nematic and Nematic-Nematic transitions from a homogeneous base state of a suspension of high aspect ratio, rod-like magnetic particles are studied for both Maier-Saupe and the Onsager excluded volume potentials. A combination of…

Soft Condensed Matter · Physics 2009-11-11 A. Gopinath , L. Mahadevan , R. C. Armstrong

Multiple experiments on active systems consider oriented active suspensions on substrates or in chambers confined along one direction. The theories of polar and apolar phases in such geometries were considered in A. Maitra et al, arXiv…

Statistical Mechanics · Physics 2020-01-22 Ananyo Maitra

We study the phase behaviour of the Zwanzig model of suspensions of hard rods, allowing for polydispersity in the lengths of the rods. In spite of the simplified nature of the model (rods are restricted to lie along one of three orthogonal…

Soft Condensed Matter · Physics 2007-05-23 Nigel Clarke , Jose A Cuesta , Richard Sear , Peter Sollich , Alessandro Speranza

The optical birefringence of rod-like nematogens (7CB, 8CB), imbibed in parallel silica channels with 10 nm diameter and 300 micrometer length, is measured and compared to the thermotropic bulk behavior. The orientational order of the…

Soft Condensed Matter · Physics 2016-09-08 Andriy V. Kityk , Matthias Wolff , Klaus Knorr , Denis Morineau , Ronan Lefort , Patrick Huber

We have calculated the phase diagrams of one--component fluids made of five types of biaxial particles differing in their cross sections. The orientation of the principal particle axis is fixed in space, while the second axis is allowed to…

Soft Condensed Matter · Physics 2009-11-13 Yuri Martinez-Raton , Szabolcs Varga , Enrique Velasco

The complex physics of self-assembly in colloidal crystals on deformable interfaces and surfaces poses interesting possibilities for the designability and synthesis of next-generation metamaterials. The goal of this article is to…

Soft Condensed Matter · Physics 2025-06-23 Sanjay Dharmavaram , Basant Lal Sharma

Motivated by experiments on sheared suspensions that show a transition between ordered and disordered phases, we here study the long-time behavior of a sheared and overdamped 2-d system of particles interacting by repulsive forces. As a…

Soft Condensed Matter · Physics 2016-01-06 Jens C. Pfeifer , Tobias Bischoff , Georg Ehlers , Bruno Eckhardt

We analyze the global phase diagram of a Maier-Saupe lattice model with the inclusion of disorder degrees of freedom to mimic a mixture of oblate and prolate molecules (discs and cylinders). In the neighborhood of a Landau multicritical…

Statistical Mechanics · Physics 2011-10-26 E. F. Henriques , S. R. Salinas

Size polydispersity in colloidal particles can disrupt order in their self-assembly, ultimately leading to a complete suppression of crystallization. In contrast to various computational studies, few experimental studies systematically…

Soft Condensed Matter · Physics 2025-11-11 Mariam Arif , Andrew B. Schofield , Fraser H. J. Laidlaw , Wilson C. K. Poon , Job H. J. Thijssen

The phase diagram of soft spheres with size dispersion has been studied by means of an optimized Monte Carlo algorithm which allows to equilibrate below the kinetic glass transition for all sizes distribution. The system ubiquitously…

Soft Condensed Matter · Physics 2007-05-23 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio

Based on density-functional theory we analyze the full phase diagram, the occurrence of long-ranged orientational order, and the structural properties of dipolar fluids. As a model system we consider the Stockmayer fluid that consists of…

Soft Condensed Matter · Physics 2009-09-25 B. Groh , S. Dietrich

We present a generalized hydrodynamic stability theory for interacting particles in polydisperse particle-laden flows. The addition of dispersed particulate matter to a clean flow can either stabilize or destabilize the flow, depending on…

Fluid Dynamics · Physics 2022-04-20 Zhixuan Liu , Yuval Dagan

We show that development of polar order may spontaneously destroy the lamellar structure of a liquid crystal. This results in an unusual sequence of phases with the ferroelectric nematic phase appearing below a non-polar smectic phase. The…

We analyse the effect of a continuous spread of particle lengths on the phase behavior of rodlike particles, using the Onsager theory of hard rods. Our aim is to establish whether ``unusual'' effects such as isotropic-nematic-nematic…

Soft Condensed Matter · Physics 2010-12-14 Alessandro Speranza , Peter Sollich

We report the discovery of a mixed orientational structure in the quasi-one-dimensional fluid of hard non-spherical bodies with the exact calculation of the thermodynamic and structural quantities using the transfer operator method. The…

Soft Condensed Matter · Physics 2025-10-13 Sakineh Mizani , Martin Oettel , Péter Gurin , Szabolcs Varga