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We develop a theoretical description of the topological disentanglement occurring when torus knots reach the ends of a semi-flexible polymer under tension. These include decays into simpler knots and total unknotting. The minimal number of…

Statistical Mechanics · Physics 2020-11-04 Michele Caraglio , Boris Marcone , Fulvio Baldovin , Enzo Orlandini , Attilio L. Stella

Monte Carlo computer simulations are used to study the segregation behaviour of two polymers under cylindrical confinement. Using a multiple-histogram method, the conformational free energy, F, of the polymers was measured as a function of…

Soft Condensed Matter · Physics 2018-05-24 James M. Polson , Deanna R. -M. Kerry

Morphology mediates the interplay between the structure and electronic transport in atomically thin nanoribbons such as graphene as the relaxation of edge stresses occurs preferentially via out-of-plane deflections. In the case of…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Hailong Wang , Moneesh Upmanyu

This paper studies a polymer chain in the vicinity of a linear interface separating two immiscible solvents. The polymer consists of random monomer types, while the interface carries random charges. Both the monomer types and the charges…

Probability · Mathematics 2015-06-05 Frank den Hollander , Alex A. Opoku

We apply the computational methodology of phase retrieval to the problem of folding heteropolymers. The ground state fold of the polymer is defined by the intersection of two sets in the configuration space of its constituent monomers: a…

Biomolecules · Quantitative Biology 2013-05-29 Veit Elser , Ivan Rankenburg

A ring polymer in a confining space may exhibit at least two phases, namely an expanded (or solvent-rich phase) if its concentration is small, or a collapsed (or polymer-rich phase) when it is concentrated and compressed. These phases are…

Soft Condensed Matter · Physics 2026-03-24 EJ Janse van Rensburg , E Orlandini , MC Tesi

We deduce the qualitative phase diagram of a long flexible neutral polymer chain immersed in a poor solvent near an attracting surface using phenomenological arguments. The actual positions of the phase boundaries are estimated numerically…

Statistical Mechanics · Physics 2009-11-07 R. Rajesh , Deepak Dhar , Debaprasad Giri , Sanjay Kumar , Yashwant Singh

A variational model for describing the morphology of two-phase continua by allowing for the interplay between coherent and incoherent interfaces is introduced. Coherent interfaces are characterized by the microscopical arrangement of atoms…

Analysis of PDEs · Mathematics 2023-10-24 Randy Llerena , Paolo Piovano

The equilibrium conformations of a flexible permanent magnetic chain that consists of a sequence of linked magnetic colloidal nanoparticles with short-ranged Lennard-Jones attractive interactions (Stockmayer polymer) are thoroughly analysed…

Soft Condensed Matter · Physics 2014-05-23 Joan J. Cerdà , Pedro A. Sánchez , Christian Holm , Tomàs Sintes

We generalize a recently investigated lattice model of semiflexible polymers formed under equilibrium polymerization in a solution and conduct a comprehensive investigation of its melting properties. The model is characterized by six…

Condensed Matter · Physics 2007-05-23 Sagar S. Rane , P. D. Gujrati

Understanding the role of self-propulsion on the conformational properties of active filamentous objects has relevance in biology. In this context, we consider a flexible bead-spring model polymer for which along with both attractive and…

Soft Condensed Matter · Physics 2022-02-22 Subhajit Paul , Suman Majumder , Wolfhard Janke

We present a unified theory for the longitudinal dynamic response of a stiff polymer in solution to various external perturbations (mechanical excitations, hydrodynamic flows, electrical fields, temperature quenches ...) that can be…

Soft Condensed Matter · Physics 2007-05-23 Oskar Hallatschek , Erwin Frey , Klaus Kroy

We present a mean-field dynamical theory for single semiflexible polymers which can precisely capture, without fitting parameters, recent fluorescence correlation spectroscopy results on single monomer kinetics of DNA strands in solution.…

Soft Condensed Matter · Physics 2009-10-19 Michael Hinczewski , Roland R. Netz

We investigate the nonequilibrium dynamics of semiflexible polymers driven by motor proteins (MPs) in two-dimensional motility assays under harmonic confinement. Using a coarse-grained agent-based model that incorporates stochastic motor…

Soft Condensed Matter · Physics 2025-09-09 Sandip Roy , Abhishek Chaudhuri , Anil Kumar Dasanna

Numerically minimizing a continuous free-energy functional which yields several modulated phases, we obtain the order-parameter profiles and interfacial free energies of symmetric and non-symmetric tilt boundaries within the lamellar phase,…

Soft Condensed Matter · Physics 2009-10-31 R. R. Netz , D. Andelman , M. Schick

We consider a phase-separating mixture of active and passive fluids and explore morphological asymmetries of the emerging dominantly bicontinous dynamic emulsion. Two-dimensional numerical simulations reveal that the geometric and…

Soft Condensed Matter · Physics 2026-01-22 Rainer Backofen , Axel Voigt

In this paper we extend the Gaussian self-consistent method to permit study of the equilibrium and kinetics of conformational transitions for heteropolymers with any given primary sequence. The kinetic equations earlier derived by us are…

Soft Condensed Matter · Physics 2009-10-31 E. G. Timoshenko , Yu. A. Kuznetsov , K. A. Dawson

In this work we present the general phase behavior of short tubelike flexible polymers. The geometric thickness constraint is implemented through the concept of the global radius of curvature. We use sophisticated Monte Carlo sampling…

Soft Condensed Matter · Physics 2009-07-20 Thomas Vogel , Thomas Neuhaus , Michael Bachmann , Wolfhard Janke

A general theory has been developed for a polydisperse semi-flexible multi-block copolymer melt. Using the Bawendi-Freed approach to model semi-flexible chains an expression for the Landau free energy is derived in the weak segregation…

Soft Condensed Matter · Physics 2023-03-22 P. M. Jager , W. J. Briels , J. J. M. Slot

We report molecular dynamics simulation results on the equilibrium properties of polymer thin films adsorbed onto flat and curved substrates. We first systematically determine the contact angle of polymer droplets on flat substrates as a…

Soft Condensed Matter · Physics 2023-12-15 Gabriel Catalini , Nicolás A. García , Daniel A. Vega , Arash Nikoubashman