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This analysis of the electroclinic effect in ferroelectric liquid crystals with a first order Smectic-$A^*$--Smectic-$C^*$ (Sm-$A^*$--Sm-$C^*$) transition, shows they can be either Type I or Type II. In temperature--field parameter space…

Soft Condensed Matter · Physics 2019-09-04 Josh Ziegler , Sean Echols , Matthew J. Moelter , Karl Saunders

Chiral smectic liquid crystals exhibit a series of phases, including ferroelectric, antiferroelectric and ferrielectric commensurate structures as well as an incommensurate SmCalpha phase. We carried out an extension of the phenomenological…

Soft Condensed Matter · Physics 2009-10-12 Hassen Dhaouadi , Nabila Bitri , Sahbi Essid , Taoufik Soltani , Abdelhafidh Gharbi , Jean-Paul Marcerou

A ternary liquid crystalline mixture was designed to obtain a tilted hexatic smectic phase in the glassy state. Structural, electro-optic, and dielectric properties of the mixture are investigated, and selected measurements are also…

We consider a system composed of a stack of weakly Josephson coupled superfluid layers with c-axis disorder in the form of random superfluid stiffnesses and vortex fugacities in each layer as well as random inter-layer coupling strengths.…

Quantum Gases · Physics 2011-10-17 David Pekker , Gil Refael , Eugene Demler

We have used the density-functional theory to locate the freezing transitions and calculate the values of freezing parameters for a system of long elongated molecules which interact via the Gay-Berne pair potential. The pair correlation…

Statistical Mechanics · Physics 2007-05-23 Pankaj Mishra , Jokhan Ram , Yashwant Singh

An asymmetric generalization of the zero-temperature Glauber model on a lattice is introduced. The dynamics of the particle-density and specially the large-time behavior of the system is studied. It is shown that the system exhibits two…

Statistical Mechanics · Physics 2009-10-31 Mohammad Khorrami , Amir Aghamohammadi

We once more specify an universality of a phase transition from smectic-A to nematic phase in the crosslinked polymer network with a smectic liquid crystal, basing on the X-ray and $^1H$-NMR spectroscopy experiments. Comparing the…

Soft Condensed Matter · Physics 2010-03-30 L. V. Elnikova

By employing Molecular Dynamics computer simulations, the phase behavior of systems of rodlike particles with varying degree of internal flexibility has been traced from the perfectly rigid rod limit till very flexible particles, and from…

Soft Condensed Matter · Physics 2009-11-13 Giorgio Cinacchi , Luca De Gaetani

We explore the phase behavior and structure of orthogonal smectic liquid crystals consisting of bent-core molecules (BCMs) by means of Monte Carlo molecular simulations. A simple athermal molecular model is introduced that describes the…

Soft Condensed Matter · Physics 2016-07-26 Stavros D. Peroukidis , Alexandros G. Vanakaras , Demetri J. Photinos

We have numerically studied a liquid composed of achiral, bent-shaped molecules built of tangent spheres. The system is known to spontaneously break mirror symmetry, as it forms a macroscopically chiral, twist-bend nematic phase [Phys. Rev.…

Soft Condensed Matter · Physics 2022-09-27 Piotr Kubala , Wojciech Tomczyk , Michał Cieśla

In the framework of the thermodynamic perturbation theory for fluids we study how the phase diagram of an isotropic repulsive soft-core attractive potential, where a liquid-liquid phase transition exists in addition to the standard…

Statistical Mechanics · Physics 2009-11-11 Yu. D. Fomin , V. N. Ryzhov , E. E. Tareyeva

In arXiv:1906.09232v2, Golovaty et al. present a $Q$-tensor model for liquid crystal dynamics which reduces to the well-known Oseen-Frank director field model in uniaxial states. We study a closely related model and present an energy stable…

Numerical Analysis · Mathematics 2024-09-17 Jacob Elafandi , Franziska Weber

In this article, we generalize Wenzel law, which assigns an effective contact angle for a droplet on a rough substrate, when the wetting layer has an ordered phase, like a nematic. We estimate the conditions for which the wetting behavior…

Other Condensed Matter · Physics 2007-06-24 Chi-Tuong Pham , Pedro Patrício , Jose Manuel Romero-Enrique

In this paper, we consider the numerical approximations for a hydrodynamical model of smectic-A liquid crystals. The model, derived from the variational approach of the modified Oseen-Frank energy, is a highly nonlinear system that couples…

Numerical Analysis · Mathematics 2017-10-05 Rui Chen , Xiaofeng Yang , Hui Zhang

The object of this study is a cell model with Curie-Weiss interaction potential. We have already proved the possibility of a mathematically rigorous transition from a continuous system of interacting particles to such a model and made an…

Statistical Mechanics · Physics 2021-12-03 M. P. Kozlovskii , O. A. Dobush

There seems to be a one to one correspondence between the phases of atomic and molecular matter (AMOM) and vortex matter (VM) in superfluids and superconductors. Crystals, liquids and glasses have been experimentally observed in both AMOM…

Superconductivity · Physics 2009-09-29 Wei Zhang , Carlos Sa de Melo

We propose an approach to a multiscale problem in the theory of thermotropic uniaxial nematics based on the method of statistical field theory. This approach enables us to relate the coefficients $A$, $B$, $C$, $L_1$ and $L_2$ of the…

Statistical Mechanics · Physics 2018-01-29 Bing-Sui Lu

We explore the smectic liquid crystal order in a cell with a "dirty" substrate imposing random pinnings. Within harmonic elasticity we find a subtle three-dimensional surface disorder-driven transition into a pinned smectic-glass,…

Soft Condensed Matter · Physics 2012-06-14 Quan Zhang , Leo Radzihovsky

There is a large variety of bi-layered structures with smectic A type ordering. Results of this paper contribute to a theory of bi-layered phases. The difference between the \( SmC^{*}_{A} \) and \( SmC_{\alpha}^{*} \) phases is described…

Soft Condensed Matter · Physics 2017-10-18 Matej Hudak , Ondrej Hudak

We investigate the effect of a strong magnetic field on a three dimensional smectic A liquid crystal. We identify a critical field above which the uniform layered state loses stability; this is associated to the onset of layer undulations.…

Analysis of PDEs · Mathematics 2016-08-03 A. Contreras , C. García-Azpeitia , C. J. García-Cervera , S. Joo