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Disclination configurations of a nematic liquid crystal are studied within a self-consistent molecular field theory. The theory is based on a tensor order parameter, and can accommodate anisotropic elastic energies without the known…

Soft Condensed Matter · Physics 2020-08-05 Cody D. Schimming , Jorge Viñals

Nematic ordering describes the phenomenon where anisotropic molecules tend to locally align, like matches in a matchbox. This ordering can arise in solids (as nematic elastomers), liquids (as liquid crystals), and in gases. In the 1940s,…

Mathematical Physics · Physics 2024-10-30 Patrick E. Farrell , Giovanni Russo , Umberto Zerbinati

The interplay of nematic order and phase separation in solutions of semiflexible polymers in solvents of variable quality is investigated by density functional theory (DFT) and molecular dynamics (MD) simulations. We studied coarse-grained…

Soft Condensed Matter · Physics 2019-09-04 Jiarul Midya , Sergei A. Egorov , Kurt Binder , Arash Nikoubashman

Hard spherocylinders (cylinders of length $L$ and diameter $D$ capped at both ends with two hemispheres) provide a suitable model for investigating entropy-driven, mesophase formations in real colloidal fluids that are composed of rigid…

Statistical Mechanics · Physics 2011-10-26 D. Costa , F. Micali , F. Saija , P. V. Giaquinta

Motivated by the structure of networks of cross-linked cytoskeletal biopolymers, we study the orientationally ordered phases in two-dimensional networks of randomly cross-linked semiflexible polymers. We consider permanent cross-links which…

Soft Condensed Matter · Physics 2011-03-08 Martin Kiemes , Panayotis Benetatos , Annette Zippelius

In frameworks of the scaling theory of phase transitions and critical phenomena the quantitative dependence of macroscopic properties on nanostructural parameters in a polymeric material is revealed. The draw ratios at neck and at break are…

Soft Condensed Matter · Physics 2012-10-30 Andrei N. Yakunin

We develop a theory of polymers in a nematic solvent by exploiting an analogy with two-dimensional quantum bosons at zero temperature. We argue that the theory should also describe polymers in an {\sl isotropic} solvent. The dense phase is…

Condensed Matter · Physics 2009-10-22 R. D. Kamien , P. Le Doussal , D. R. Nelson

In this work, we study a class of nonlocal-in-time kinetic models of incompressible dilute polymeric fluids. The system couples a macroscopic balance of linear momentum equation with a mezoscopic subdiffusive Fokker-Planck equation…

Analysis of PDEs · Mathematics 2025-11-11 Marvin Fritz , Endre Süli , Barbara Wohlmuth

A singular potential method in the Q tensor order parameter representation of a nematic liquid crystal is used to study the equilibrium configuration of a disclination dipole. Unlike the well studied isotropic limit (the so called one…

Soft Condensed Matter · Physics 2025-03-28 Lucas Myers , Carter Swift , Jonas Ronning , Luiza Angheluta , Jorge Vinals

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

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

The random walk of a bonded monomer in a polymer melt is anisotropic due to local order and bond connectivity. We investigate both effects by molecular-dynamics simulations on melts of fully-flexible linear chains ranging from dimers…

Soft Condensed Matter · Physics 2016-05-06 S. Bernini , D. Leporini

Through extensive Monte Carlo simulations, we systematically study the effect of chain stiffness on the packing ability of linear polymers composed of hard spheres in extremely confined monolayers, corresponding effectively to 2D films.…

We establish a macroscopic description of the splay--density coupling in semiflexible main-chain nematic polymers with hairpins, using a vectorial continuity constraint for the "recovered" polar order of the chain tangents and introducing…

Soft Condensed Matter · Physics 2018-11-15 Aleksandar Popadić , Daniel Svenšek , Rudolf Podgornik , Kostas Ch. Daoulas , Matej Praprotnik

The diffusion of molecules (penetrants) of variable size, shape, and chemistry through dense crosslinked polymer networks is a fundamental scientific problem that is broadly relevant in materials, polymer, physical and biological chemistry.…

Phase-ordering dynamics in nematic liquid crystals has been the subject of much active investigation in recent years in theory, experiments and simulations. With a rapid quench from the isotropic to nematic phase a large number of…

Soft Condensed Matter · Physics 2009-10-31 Jeffrey L. Billeter , Alexander M. Smondyrev , George B. Loriot , Robert A. Pelcovits

An exact kinematic law for the motion of disclination lines in nematic liquid crystals as a function of the tensor order parameter $\mathbf{Q}$ is derived. Unlike other order parameter fields that become singular at their respective defect…

Soft Condensed Matter · Physics 2023-05-31 Cody D. Schimming , Jorge Viñals

We use nematic Multi-particle Collision Dynamics (N-MPCD) simulations to study confined nematic liquid crystals in square domains, with three distinct mean-field potentials: the classical Maier-Saupe and Marrucci-Greco models, and a more…

Soft Condensed Matter · Physics 2026-03-26 Humberto Híjar , Apala Majumdar

In this paper, we employ Molecular Dynamics computer simulations to study and compare the statics and dynamics of linear and circular (ring) polymer chains in entangled solutions of different densities. While we confirm that linear chain…

Soft Condensed Matter · Physics 2016-02-17 Negar Nahali , Angelo Rosa

In this work, we study the nematic-isotropic phase transition based on the dynamics of the Landau--De Gennes theory of liquid crystals. At the critical temperature, the Landau--De Gennes bulk potential favors the isotropic phase and nematic…

Analysis of PDEs · Mathematics 2021-07-28 Tim Laux , Yuning Liu