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We present and analyze correlation functions of a main-chain polymer nematic in a continuum worm-like chain description for two types of constraints formalized by the tensorial and vectorial conservation laws, both originating in the…

Soft Condensed Matter · Physics 2017-05-11 Daniel Svensek , Rudolf Podgornik

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

The nematic ordering in semiflexible polymers with contour length $L$ exceeding their persistence length $\ell_p$ is described by a confinement of the polymers in a cylinder of radius $r_{eff}$ much larger than the radius $r_\rho$, expected…

Soft Condensed Matter · Physics 2016-05-11 Sergei A. Egorov , Andrey Milchev , Kurt Binder

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…

Isotropic-genesis nematic elastomers (IGNEs) are liquid crystalline polymers (LCPs) that have been randomly, permanently cross-linked in the high-temperature state so as to form an equilibrium random solid. Thus, instead of being free to…

Soft Condensed Matter · Physics 2015-06-15 Bing-Sui Lu , Fangfu Ye , Xiangjun Xing , Paul M. Goldbart

We explore the implications of the conservation law(s) and the corresponding "continuity equation(s)", resulting from the coupling between the positional and the orientational order in main-chain polymer nematics, by showing that the…

Soft Condensed Matter · Physics 2017-05-11 D. Svenšek , R. Podgornik

We apply a recently proposed density functional for mixtures of parallel hard cylinders, based on Rosenfeld's fundamental measure theory, to study the effect of length-polydispersity on the relative stability between the smectic and…

Soft Condensed Matter · Physics 2015-05-13 Yuri Martinez-Raton , Jose A. Cuesta

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

Despite their considerable practical and biological applications, the link between molecular properties, assembly conditions and self-organized structure in confined polymer solutions remains elusive. Here, we explore the lyotropic nematic…

Soft Condensed Matter · Physics 2023-03-21 Maxime M. C. Tortora , Daniel Jost

We investigate the tight packing of nematic polymers inside a confining hard sphere. We model the polymer {\sl via} the continuum Frank elastic free energy augmented by a simple density dependent part as well as by taking proper care of the…

Soft Condensed Matter · Physics 2010-05-05 Daniel Svenšek , Gregor Veble , Rudolf Podgornik

A self-interacting polymer can undergo an orientational ordering transition, depending on the magnitude of the nematic interaction. The effect of embedding such a polymer into a flexible surface on this transition is studied on the…

Condensed Matter · Physics 2009-10-28 Rudolf Podgornik

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

A novel approach to the dynamics of dilute solutions of polymer molecules under flow conditions is proposed by applying the rules of mesoscopic nonequilibrium thermodynamics (MNET). The probability density describing the state of the system…

Statistical Mechanics · Physics 2009-11-11 C. Malaga , F. Mandujano , I. Santamaria-Holek

The transport coefficients of dense polymeric fluids are approximately calculated from the microscopic intermolecular forces. The following finite molecular weight effects are discussed within the Polymer-Mode-Coupling theory (PMC) and…

Condensed Matter · Physics 2009-10-30 Matthias Fuchs , Kenneth S. Schweizer

Nematic liquid crystals exhibit configurations in which the underlying ordering changes markedly on macroscopic length scales. Such structures include topological defects in the nematic phase and tactoids within nematic-isotropic…

Soft Condensed Matter · Physics 2020-05-01 Cody D. Schimming , Jorge Viñals

We derive the "conservation law" for nematic polymers in tensorial form valid for quadrupolar orientational order in contradistinction to the conservation law in the case of polar orientational order. Due to microscopic differences in the…

Soft Condensed Matter · Physics 2016-04-06 Daniel Svenšek , Gregory M. Grason , Rudolf Podgornik

We address the physics of nematic liquid crystalline elastomers randomly crosslinked in the isotropic state. To do this, we construct a phenomenological effective replica Hamiltonian in terms of two order-parameter fields: one for the…

Soft Condensed Matter · Physics 2011-01-10 Bing-Sui Lu , Fangfu Ye , Xiangjun Xing , Paul M. Goldbart

We propose and analyze a mathematical model of the mechanics of gels, consisting of the laws of balance of mass and linear momentum. We consider a gel to be an immiscible and incompressible mixture of a nonlinearly elastic polymer and a…

Analysis of PDEs · Mathematics 2012-10-17 Brandon Chabaud , Maria-Carme Calderer

We show by means of continuum theory and simulations that geometric percolation in uniaxial nematics of hard slender particles is fundamentally different from that in isotropic dispersions. In the nematic, percolation depends only very…

Soft Condensed Matter · Physics 2019-03-07 Shari P. Finner , Tanja Schilling , Paul van der Schoot

We consider the impact of the elastomer network on the structure and fluctuations in the isotropic-genesis nematic elastomer, via a phenomenological model that underscores the role of network compliance. The model contains a…

Soft Condensed Matter · Physics 2015-06-04 Bing-Sui Lu , Fangfu Ye , Xiangjun Xing , Paul M. Goldbart
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