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Relations between the mean values of distributions of flipped spins on periodic Heisenberg XX chain and some aspects of enumerative combinatorics are discussed. The Bethe vectors, which are the state-vectors of the model, are considered…

Mathematical Physics · Physics 2022-11-30 C. Malyshev , N. M. Bogoliubov

We revisit the classical problem of a polymer confined in a slit in both of its static and dynamic aspects. We confirm a number of well known scaling predictions and analyse their range of validity by means of comprehensive Molecular…

The step-growth polymerisation of a mixture of arbitrary-functional monomers is viewed as a time-continuos random graph process with degree bounds that are not necessarily the same for different vertices. The sequence of degree bounds acts…

Combinatorics · Mathematics 2019-08-21 Ivan Kryven

The emergence of spatially variable local dynamics, or dynamic heterogeneity, is common in multicomponent polymer systems. Although often attributed to differences in the intrinsic dynamics of each component, the molecular origin of their…

Soft Condensed Matter · Physics 2025-10-23 Shannon Zhang , Michael A. Webb

Epigenetics is a driving force of important and ubiquitous phenomena in nature such as cell differentiation or even metamorphosis. Oppositely to its widespread role, understanding the biophysical principles that allow epigenetics to control…

Soft Condensed Matter · Physics 2020-01-08 Davide Colì , Davide Michieletto , Davide Marenduzzo , Enzo Orlandini

The correlations in the motion of reptating polymers in their melt are investigated by means of kinetic Monte Carlo simulations of the three dimensional slithering snake version of the bond-fluctuation model. Surprisingly, the slithering…

Statistical Mechanics · Physics 2009-11-07 L. Mattioni , J. P. Wittmer , J. Baschnagel , J. -L. Barrat , E. Luijten

We study percolation transition of run and tumble particles (RTPs) on a two dimensional square lattice. RTPs in these models run to the nearest neighbour along their internal orientation with unit rate, and to other nearest neighbours with…

Statistical Mechanics · Physics 2024-12-30 Soumya K. Saha , Aikya Banerjee , P. K. Mohanty

The strong bending of polymers is poorly understood. We propose a general quantitative framework of polymer bending that includes both the weak and strong bending regimes on the same footing, based on a single general physical principle. As…

Biological Physics · Physics 2019-12-04 Aleksander V. Drozdetski , Abhishek Mukhopadhyay , Alexey V. Onufriev

Random packings of stiff rods are self-supporting mechanical structures stabilized by long range interactions induced by contacts. To understand the geometrical and topological complexity of the packings, we first deploy X-ray computerized…

Soft Condensed Matter · Physics 2024-09-24 Yeonsu Jung , Thomas Plumb-Reyes , Hao-Yu Greg Lin , L. Mahadevan

Using data from contact maps of the DNA-polymer of $E. Coli$ (at kilobase pair resolution) as an input to our model, we introduce cross-links between monomers in a bead-spring model of a ring polymer at very specific points along the chain.…

Soft Condensed Matter · Physics 2018-01-17 Tejal Agarwal , G. P. Manjunath , Farhat Habib , Pavna Lakshmi , Apratim Chatterji

We further study the stochastic model discussed in Ref.[2] in which positive and negative particles diffuse in an asymmetric, CP invariant way on a ring. The positive particles hop clockwise, the negative counter-clockwise and…

Statistical Mechanics · Physics 2007-05-23 Peter F. Arndt , Vladimir Rittenberg

We investigate a class of continuum models for the motion of a two-dimensional biological group under the influence of nonlocal social interactions. The dynamics may be uniquely decomposed into incompressible motion and potential motion.…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 C. M. Topaz , A. L. Bertozzi

Traditional models of wormlike chains in shear flows at finite temperature approximate the equation of motion via finite difference discretization (bead and rod models). We introduce here a new method based on a spectral representation in…

Soft Condensed Matter · Physics 2007-05-23 Chris H. Wiggins , Alberto Montesi , Matteo Pasquali

We present computer simulations of three systems of randomly branching polymers in d=3 dimensions: ideal trees and self-avoiding trees with annealed and quenched connectivities. In all cases, we performed a detailed analysis of trees…

Statistical Mechanics · Physics 2016-10-11 Angelo Rosa , Ralf Everaers

We study the compression and extension dynamics of a DNA-like polymer interacting with non-DNA binding and DNA-binding proteins, by means of computer simulations. The geometry we consider is inspired by recent experiments probing the…

Soft Condensed Matter · Physics 2017-09-13 M. C. F. Pereira , C. A. Brackley , J. S. Lintuvuori , D. Marenduzzo , E. Orlandini

Single-molecule experiments provide new insights into biological processes hitherto not accessible by measurements performed on bulk systems. We report on a study of the kinetics of a triple-branch DNA molecule with four conformational…

Biological Physics · Physics 2011-06-13 Sandra Engel , Anna Alemany , Nuria Forns , Philipp Maass , Felix Ritort

We present a detailed study of the static and dynamic behavior of long semiflexible polymer chains in a melt. Starting from previously obtained fully equilibrated high molecular weight polymer melts [{\it Zhang et al.} ACS Macro Lett. 3,…

Soft Condensed Matter · Physics 2016-05-25 Hsiao-Ping Hsu , Kurt Kremer

In Escherichia coli (E. coli), entropic repulsion between the two daughter DNA ring polymers under cylindrical confinement is believed to be an important factor governing chromosomal segregation. The repulsion can be enhanced by topological…

Soft Condensed Matter · Physics 2026-04-30 Harsh Doshi , Shreerang Pande , Sathish K. Sukumaran , Apratim Chatterji

Single polymer dynamics offers a powerful approach to study molecular-level interactions and dynamic microstructure in materials. Direct visualization of single chain dynamics has uncovered new ideas regarding the rheology and…

Soft Condensed Matter · Physics 2018-07-03 Charles M. Schroeder

Polymer translocation has long been a topic of interest in the field of biological physics given its relevance in both biological (protein and DNA/RNA translocation through nuclear and cell membranes) and technological processes (nanopore…

Soft Condensed Matter · Physics 2023-09-11 Alejandro Sainz-Agost , Fernando Falo , Alessandro Fiasconaro