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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

We present the general theory of Ising transitions in isotropic elastic media with vanishing thermal expansion. By constructing a minimal model with appropriate spin-lattice couplings, we show that in two dimensions near a continuous…

Statistical Mechanics · Physics 2023-01-03 Sudip Mukherjee , Abhik Basu

An electron nematic is a translationally invariant state which spontaneously breaks the discrete rotational symmetry of a host crystal. In a clean square lattice, the electron nematic has two preferred orientations, while dopant disorder…

Superconductivity · Physics 2009-11-11 E. W. Carlson , K. A. Dahmen , E. Fradkin , S. A. Kivelson

Candidates for random network media include, e.g., systems consisting of long, flexible macromolecules cross-linked (i.e., permanently bonded) together at random to form the network. Owing to the random architecture, the characteristics of…

Soft Condensed Matter · Physics 2024-12-18 Boli Zhou , Ziqi Zhou , Paul M. Goldbart

The elasticity of disordered and polydisperse polymer networks is a fundamental problem of soft matter physics that is still open. Here, we self-assemble polymer networks via simulations of a mixture of bivalent and tri- or tetravalent…

Elastomers are artificial polymeric materials created for industrial and commercial applications. Depending on their purpose, they are performing in different species and structure modifications. Our studies focus on the systems of…

Soft Condensed Matter · Physics 2011-07-13 L. V. Elnikova

The problems of the intermediate-range atomic structure of glasses and of the mechanism for the glass transition are approached from the low-temperature end in terms of a scenario for the atomic organization that justifies the use of an…

Mesoscale and Nanoscale Physics · Physics 2017-05-30 Giancarlo Jug

The ferroelectric nematic phase (N$_{\text{F}}$) has quickly become the most studied system in liquid crystal research. In this work, we investigate the origin of such polar structure by studying a compound for which the N$_{\text{F}}$…

Soft Condensed Matter · Physics 2024-11-14 Aitor Erkoreka , Nerea Sebastián , Alenka Mertelj , Josu Martinez-Perdiguero

Constitutive equations are derived for the time-dependent behavior of particle-reinforced elastomers at isothermal loading with finite strains. A rubbery polymer is modelled as a network of macromolecules bridged by junctions which can slip…

Materials Science · Physics 2007-05-23 Aleksey D. Drozdov , Al Dorfmann

We consider a system of colloidal particles embedded in a paranematic -- an isotropic phase of a nematogenic medium above the temperature of the nematic-to-isotropic transition. In this state, the nematic order is induced by the boundary…

Analysis of PDEs · Mathematics 2025-08-08 Dmitry Golovaty , Jamie Taylor , Raghavendra Venkatraman , Arghir Zarnescu

Anisotropic fluids appear in a diverse array of systems, from liquid-crystal displays to bacterial swarms, and are characterized by orientational order. Large colloidal particles immersed in such environments disturb the medium's…

Soft Condensed Matter · Physics 2025-01-03 Thomas G. J. Chandler , Saverio E. Spagnolie

In the wake of previous studies on the rattling-and-jumping diffusion in smectic liquid crystal phases of colloidal rods, we analyze here for the first time the heterogeneous dynamics in columnar phases. More specifically, we perform…

Soft Condensed Matter · Physics 2015-05-19 Simone Belli , Alessandro Patti , René van Roij , Marjolein Dijkstra

Topologically stabilized polymer conformations observed in melts of nonconcatenated polymer rings and crumpled globules, are considered to be a good candidate for the description of the spatial structure of mitotic chromosomes. Despite…

Statistical Mechanics · Physics 2018-04-05 K. Polovnikov , S. Nechaev , M. V. Tamm

We introduce a new mesoscopic model for nematic liquid crystals (LCs). We extend the particle-based stochastic rotation dynamics method, which reproduces the Navier-Stokes equation, to anisotropic fluids by including a simplified…

Soft Condensed Matter · Physics 2015-05-20 Kuang-Wu Lee , Marco G. Mazza

Low-density networks of molecules or colloids are formed at low temperatures when the interparticle interactions are valence limited. Prototypical examples are networks of patchy particles, where the limited valence results from highly…

Soft Condensed Matter · Physics 2018-02-13 C. S. Dias , J. M. Tavares , N. A. M. Araujo , M. M. Telo da Gama

Recent progress on studies of the nanoscale mechanical responses in disordered systems has highlighted a strong degree of heterogeneity in the elastic moduli. In this contribution, using computer simulations, we study the elastic…

Soft Condensed Matter · Physics 2016-02-12 Hideyuki Mizuno , Leonardo E. Silbert , Matthias Sperl

We present a Monte Carlo simulation of a polymer nematic for varying volume fractions, concentrating on the structure function of the sample. We achieve nematic ordering with stiff polymers made of spherical monomers that would otherwise…

Soft Condensed Matter · Physics 2009-10-28 Randall D. Kamien , Gary S. Grest

We consider a microscopic model of a polymer blend that is prone to phase separation. Permanent crosslinks are introduced between randomly chosen pairs of monomers, drawn from the Deam-Edwards distribution. Thereby, not only density but…

Soft Condensed Matter · Physics 2009-11-11 Christian Wald , Paul M. Goldbart , Annette Zippelius

Nematic elastomers are a particular class of liquid crystal elastomers (LCEs) that exhibit both liquid-crystalline order and rubber (entropic) elasticity. This combination makes them stimuli-responsive soft materials with a number of…

Soft Condensed Matter · Physics 2025-12-08 Alice Kutsyy , Adeline Wihardja , Victoria Lee , Kaushik Bhattacharya

?In this work, we study the orbital stability of stationary solutions to the relativistic Vlasov-Manev system. This system is a kinetic model describing the evolution of a stellar system subject to its own gravity with some relativistic…

Analysis of PDEs · Mathematics 2013-03-26 Cyril Rigault
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