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In the hexagonal columnar phase of chiral polymers a bias towards cholesteric twist competes with braiding along an average direction. When the chirality is strong, topological defects proliferate, leading to either a tilt grain boundary…

Soft Condensed Matter · Physics 2007-05-23 Randall D. Kamien

We present a microscopic analysis of the instability of the nematic phase to chirality when molecular chirality is introduced perturbatively. We show that previously neglected short-range biaxial correlations play a crucial role in…

Soft Condensed Matter · Physics 2009-10-28 A. B. Harris , Randall D. Kamien , T. C. Lubensky

Lyotropic cholesteric liquid crystal phases are ubiquitously observed in biological and synthetic polymer solutions, characterized by a complex interplay between thermal fluctuations, entropic and enthalpic forces. The elucidation of the…

Soft Condensed Matter · Physics 2020-08-04 Maxime M. C. Tortora , Garima Mishra , Domen Presern , Jonathan P. K. Doye

We theoretically investigate the pitch of lyotropic cholesteric phases composed of slender rods with steric chirality transmitted via a weak helical deformation of the backbone. In this limit, the model is amenable to analytical treatment…

Soft Condensed Matter · Physics 2015-10-28 H. H. Wensink , L. Morales-Anda

We carry out Monte Carlo simulations on fluid membranes with orientational order and multiple edges in the presence and absence of external forces. The membrane resists bending and has an edge tension, the orientational order couples with…

Soft Condensed Matter · Physics 2023-11-01 Lijie Ding , Robert A. Pelcovits , Thomas R. Powers

Building a general theoretical framework to describe the microscopic origin of macroscopic chirality in (colloidal) liquid crystals is a long-standing challenge. Here, we combine classical density functional theory with Monte Carlo…

Soft Condensed Matter · Physics 2015-06-23 Simone Dussi , Simone Belli , René van Roij , Marjolein Dijkstra

Chiral nematic or cholesteric liquid crystals (LCs) are mesophases with long-ranged orientational order featuring a quasi-layered periodicity imparted by a helical configuration but lacking positional order. Doping molecular cholesteric LCs…

The chiral structure of liquid crystalline phases arises due to the intrinsic chirality of the constituent mesogens. While it is seemingly straightforward to quantify the macroscopic chirality by using, for instance, the cholesteric pitch…

Soft Condensed Matter · Physics 2007-05-23 Randall D. Kamien

In equilibrium liquid crystals, chirality leads to a variety of spectacular three-dimensional structures, but chiral and achiral phases with the same broken continuous symmetries have identical long-time, large-scale dynamics. In this…

Soft Condensed Matter · Physics 2021-06-23 S. J. Kole , Gareth P. Alexander , Sriram Ramaswamy , Ananyo Maitra

Molecular chirality leads to a wonderful variety of equilibrium structures, from the simple cholesteric phase to the twist-grain-boundary phases, and it is responsible for interesting and technologically important materials like…

Soft Condensed Matter · Physics 2007-05-23 T. C. Lubensky , A. B. Harris , Randall D. Kamien , Gu Yan

We report a computer simulation study on the effect of molecular structural biaxiality in the phase formation of chiral molecules. In this study, we have done coarse-grained modeling to observe self-assembled phase behavior. In our…

Soft Condensed Matter · Physics 2025-05-16 Sayantan Mondal , Jayashree Saha

We derive formulae for the electrostatic interaction between two long, rigid macromolecules that may have arbitrary surface charge patterns and cross at an arbitrary interaxial angle. We calculate the dependence of the interaction energy on…

Soft Condensed Matter · Physics 2009-10-31 A. A. Kornyshev , S. Leikin

Recently, a new class of smectic liquid crystal phases (SmCP phases) characterized by the spontaneous formation of macroscopic chiral domains from achiral bent-core molecules has been discovered. We have carried out Monte Carlo simulations…

Statistical Mechanics · Physics 2009-11-07 Yves Lansac , Prabal K. Maiti , Noel A. Clark , Matthew A. Glaser

We consider the interaction potential between two chiral rod-like colloids which consist of a thin cylindrical backbone decorated with a helical charge distribution on the cylinder surface. For sufficiently slender coiled rods a simple…

Soft Condensed Matter · Physics 2012-07-17 H. H. Wensink , G. Jackson

We investigate the statistical mechanics of chirality and biaxiality in liquid crystals through a variety of theoretical approaches, including Monte Carlo simulations, lattice mean-field theory, and Landau theory. All of these calculations…

Soft Condensed Matter · Physics 2011-11-04 Subas Dhakal , Jonathan V. Selinger

In many biological materials with a hierarchical structure there is an intriguing and unique mechanism responsible for the 'propagation' of order from the molecular to the nano- or micro-scale level. Here we present a much simpler molecular…

Even though chiral nematic phases were the first liquid crystals experimentally observed more than a century ago, the origin of the thermodynamic stability of cholesteric states is still unclear. In this Letter we address the problem by…

Soft Condensed Matter · Physics 2014-09-05 S. Belli , S. Dussi , M. Dijkstra , R. van Roij

Stiff, elongated biomolecules such as filamentous viruses, DNA or cellulose nanocrystals are known to form liquid crystals often exhibiting a helical supramolecular organization. Little is known about the microscopic origin, size and…

Soft Condensed Matter · Physics 2016-08-06 Štěpán Růžička , Henricus H. Wensink

Colloidal particles disturb the alignment of rod-like molecules of liquid crystals, giving rise to long-range interactions that minimize the free energy of distorted regions. Particle shape and topology are known to guide this self-assembly…

Soft Condensed Matter · Physics 2017-12-29 Ye Yuan , Angel Martinez , Bohdan Senyuk , Mykola Tasinkevych , Ivan I. Smalyukh

In this study, we aim to explore the effect of chirality on the phase behavior of active helical particles driven by two-temperature scalar activity. We first calculate the equation of state of soft helical particles of various intrinsic…

Soft Condensed Matter · Physics 2023-11-08 Jayeeta Chattopadhyay , Jaydeep Mandal , Prabal K. Maiti
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