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The theory of mesoscopic fluctuations is applied to inhomogeneous solids consisting of chaotically distributed regions with different crystalline structure. This approach makes it possible to describe statistical properties of such mixture…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov

Polymers are a primary building block in many biomaterials, often interacting with anisotropic backgrounds. While previous studies have considered polymer dynamics within nematic solvents, rarely are the the effects of anisotropic viscosity…

The question of the local stability of the (replica-symmetric) amorphous solid state is addressed for a class of systems undergoing a continuous liquid to amorphous-solid phase transition driven by the effect of random constraints. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 Horacio E. Castillo , Paul M. Goldbart , Annette Zippelius

Conformations of a single semiflexible polymer chain dissolved in a low molecular weight liquid crystalline solvents (nematogens) are examined by using a mean field theory. We takes into account a stiffness and partial orientational…

Soft Condensed Matter · Physics 2009-11-07 Akihiko Matsuyama

We study a ferromagnetic suspension or a suspension of magnetic nanoparticles in an anisotropic nematic medium, in three different one-dimensional variational settings, ordered in terms of increasing complexity. The three models are…

Soft Condensed Matter · Physics 2019-07-17 Konark Bisht , Varsha Banerjee , Paul Milewski , Apala Majumdar

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

When nematic liquid crystals are embedded in random polymer networks, the disordered environment disrupts the long-range order, producing a glassy state. If an electric field is applied, it induces large and fairly temperature-independent…

Soft Condensed Matter · Physics 2013-12-25 Lena M. Lopatina , Jonathan V. Selinger

Creating amorphous solid states by randomly bonding an ensemble of dense liquid monomers is a common procedure which is applied to create a variety of materials such as epoxy resins, colloidal gels, and vitrimers. The properties of the…

Soft Condensed Matter · Physics 2024-01-26 Misaki Ozawa , Jean-Louis Barrat , Walter Kob , Francesco Zamponi

Stability is an important and fruitful avenue of research for liquid crystal elastomers. At constant temperature, upon stretching, the homogeneous state of a nematic body becomes unstable, and alternating shear stripes develop at very low…

Soft Condensed Matter · Physics 2021-05-17 L. Angela Mihai , Alain Goriely

We theoretically study the nematic ordering transition of rods that are able to elastically adjust their mutually excluded volumes. The model rods, which consist of a hard core surrounded by a deformable shell, mimic the structure of…

Soft Condensed Matter · Physics 2009-11-11 K. Shundyak , R. van Roij , P. van der Schoot

We propose a hybrid lattice Boltzmann algorithm to simulate the hydrodynamics of colloidal particles inside a liquid crystalline host. To validate our algorithm, we study the static and the microrheology of a colloid in a nematic, with…

Soft Condensed Matter · Physics 2011-02-11 J. S. Lintuvuori , D. Marenduzzo , K. Stratford , M. E. Cates

A polymer-chain network is a collection of interconnected polymer-chains, made themselves of the repetition of a single pattern called a monomer. Our first main result establishes that, for a class of models for polymer-chain networks, the…

Mathematical Physics · Physics 2020-04-08 Marco Cicalese , Antoine Gloria , Matthias Ruf

We investigate the connection between the transport properties and the thermodynamics of electronic systems with a tendency to form broken-symmetry mesophases evocative of the physics of liquid crystals. Through a hydrodynamic approach to…

Strongly Correlated Electrons · Physics 2009-11-13 Rafael M. Fernandes , Jörg Schmalian , Harry Westfahl

We use linear stability analysis to show that an isotropic phase of elongated particles with dipolar flow fields can develop nematic order as a result of their activity. We argue that ordering is favoured if the particles are flow-aligning…

Soft Condensed Matter · Physics 2020-03-18 Sreejith Santhosh , Mehrana R. Nejad , Amin Doostmohammadi , Julia M. Yeomans , Sumesh P. Thampi

Relaxor ferroelectrics have been a focus of intense attention due to their anomalous dielectric characteristics, diffuse phase transitions, and strong piezoelectricity. Understanding the structure and dynamics of relaxors has been one of…

Materials Science · Physics 2013-12-09 Hiroyuki Takenaka , Ilya Grinberg , Andrew M. Rappe

We study the kinetics of the nematic-isotropic transition in a two-dimensional liquid crystal by using a lattice Boltzmann scheme that couples the tensor order parameter and the flow consistently. Unlike in previous studies, we find the…

Soft Condensed Matter · Physics 2009-11-07 Colin Denniston , Enzo Orlandini , J. M. Yeomans

Ferroelectric nematics present properties promising for applications, which strongly depend on the confinement conditions and the presence of defects. In this work, we have observed and analysed textures in the cells with homogeneous…

Soft Condensed Matter · Physics 2024-01-04 Vladimira Novotna , Lubor Lejcek , Natalia Podoliak

We describe the large-scale collective behavior of solutions of polar biofilaments and both stationary and mobile crosslinkers. Both mobile and stationary crosslinkers induce filament alignment promoting either polar or nematic order. In…

Soft Condensed Matter · Physics 2009-11-11 Aphrodite Ahmadi , M. Cristina Marchetti , T. B. Liverpool

Motivated by recent experiments, the isotropic-nematic phase transition in chromonic liquid crystals is studied. As temperature decreases, nematic nuclei nucleate, grow, and coalesce, giving rise to tactoid microstructures in an isotropic…

Soft Condensed Matter · Physics 2017-08-25 Chiqun Zhang , Amit Acharya , Noel J. Walkington , Oleg D. Lavrentovich

The general Ericksen-Leslie system for the flow of nematic liquid crystals is reconsidered in the non-isothermal case aiming for thermodynamically consistent models. The non-isothermal model is then investigated analytically. A fairly…

Analysis of PDEs · Mathematics 2015-04-07 Matthias Hieber , Jan Pruess