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The existence of thresholdless vortex solitons trapped at the core of disclination lattices that realize higher-order topological insulators is reported. The study demonstrates the interplay between nonlinearity and higher-order topology in…

Pattern Formation and Solitons · Physics 2024-09-27 Changming Huang , Ce Shang , Yaroslav V. Kartashov , Fangwei Ye

Circuit topology refers to the arrangement of interactions between objects belonging to a linearly ordered object set. Linearly ordered set of objects are common in nature and occur in a wide range of applications in economics, computer…

Disordered Systems and Neural Networks · Physics 2015-09-02 Alireza Mashaghi , Abolfazl Ramezanpour

We present a generic coarse-grained model to describe molecular motors acting on polymer substrates, mimicking, for example, RNA polymerase on DNA or kinesin on microtubules. The polymer is modeled as a connected chain of beads; motors are…

Soft Condensed Matter · Physics 2020-10-14 M. Foglino , E. Locatelli , C. A. Brackley , D. Michieletto , C. Likos , D. Marenduzzo

We perform molecular dynamics simulations for a simple coarse-grained model of crambin placed inside of a softly repulsive sphere of radius R. The confinement makes folding at the optimal temperature slower and affects the folding…

Biomolecules · Quantitative Biology 2008-12-01 M. Wojciechowski , Marek Cieplak

This work discusses the effect of topology in the frame of direct Coulomb interactions, considering two distinct geometries, namely the Hall bar and the Corbino disc. In the mainstream approaches to the quantized Hall effect, the…

Mesoscale and Nanoscale Physics · Physics 2022-03-11 D. Eksi , A. Yildiz Tunali , A. Siddiki

Structure and dynamics of a polymer under confinement gets significantly altered due to the imposed geometric restrictions. Using molecular dynamics simulations, here, we explore the effect of cylindrical confinement on the kinetics of…

Soft Condensed Matter · Physics 2026-03-11 Shubham Thwal , Suman Majumder

We consider the continuum limit of a recently-introduced model for discretized thick polymers, or tubes. We address both analytically and numerically how the polymer thickness influences the decay of tangent-tangent correlations and find…

Statistical Mechanics · Physics 2016-08-31 D. Marenduzzo , C. Micheletti , H. Seyed-allaei , A. Trovato , A. Maritan

Entangled networks of stiff biopolymers exhibit complex dynamic response, emerging from the topological constraints that neighboring filaments impose upon each other. We propose a class of reference models for entanglement dynamics of stiff…

Soft Condensed Matter · Physics 2008-06-23 Felix Höfling , Tobias Munk , Erwin Frey , Thomas Franosch

The longitudinal response of single semiflexible polymers to sudden changes in externally applied forces is known to be controlled by the propagation and relaxation of backbone tension. Under many experimental circumstances, realized, e.g.,…

Soft Condensed Matter · Physics 2011-02-25 Florian Thüroff , Benedikt Obermayer , Erwin Frey

The structure of random sphere packings in mechanical equilibrium in prescribed stress states, as studied by molecular dynamics simulations, strongly depends on the assembling procedure. Frictionless packings in the limit of low pressure…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jean-Noel Roux

Motivated by the existence of hierarchies of structure in the Universe, we present four new families of exact initial data for inhomogeneous cosmological models at their maximum of expansion. These data generalise existing black hole…

General Relativity and Quantum Cosmology · Physics 2017-10-20 Jessie Durk , Timothy Clifton

In recent times some interesting field theoretical descriptions of the statistical mechanics of entangling polymers have been proposed by various authors. In these approaches, a single test polymer fluctuating in a background of static…

High Energy Physics - Theory · Physics 2009-10-31 Franco Ferrari , Ignazio Lazzizzera

An analysis of extensive simulations of interacting self-avoiding polygons on cubic lattice shows that the frequencies of different knots realized in a random, collapsed polymer ring decrease as a negative power of the ranking order, and…

Statistical Mechanics · Physics 2007-08-21 M. Baiesi , E. Orlandini , A. L. Stella

Spontaneous formation of knots in long polymers at equilibrium is inevitable but becomes rare in sufficiently short chains. Here, we show that knotting and knot complexity increase by orders of magnitude in diblock polymers with a fraction…

Soft Condensed Matter · Physics 2024-07-11 Marin Vatin , Enzo Orlandini , Emanuele Locatelli

In this paper, we study the equilibrium properties of polymer chains end-tethered to a fluid membrane. The loss of conformational entropy of the polymer results in an inhomogeneous pressure field that we calculate for gaussian chains. We…

Soft Condensed Matter · Physics 2009-10-31 T. Bickel , C. Jeppesen , C. M. Marques

Many-body interactions in topological quantum systems can give rise to new phases of matter, which simultaneously exhibit both rich spatial features and topological properties. In this work, we consider spinless fermions on a checkerboard…

Quantum Gases · Physics 2020-12-10 Sergi Julià-Farré , Markus Müller , Maciej Lewenstein , Alexandre Dauphin

Confinement or geometric frustration is known to alter the structure of soft matter, including copolymeric melts, and can consequently be used to tune structure and properties. Here we investigate the self-assembly of ABC and ABB 3-miktoarm…

Soft Condensed Matter · Physics 2019-07-22 Tobias M. Hain , Gerd E. Schröder-Turk , Jacob J. K. Kirkensgaard

Polymer systems in slab geometries are studied on the basis of the recently presented Gaussian Ellipsoid Model [J. Chem. Phys. 114, 7655 (2001)].The potential of the confining walls has an exponential shape. For homogeneous systems in…

Soft Condensed Matter · Physics 2009-11-07 F. Eurich , P. Maass , J. Baschnagel

Using a combination of the replica-exchange Monte Carlo algorithm and the multicanonical method, we investigate the influence of bending stiffness on the conformational phases of a bead-stick homopolymer model and present the pseudo-phase…

Soft Condensed Matter · Physics 2016-03-30 Martin Marenz , Wolfhard Janke

We analyze the universal conformational properties of complex copolymer macromolecules, based on two topologies: the rosette structure containing $f_c$ linear branches and $f_r$ closed loops grafted to the central core, and the symmetric…

Soft Condensed Matter · Physics 2024-04-02 K. Haydukivska , V. Blavatska