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The entropic force exerted by the Brownian fluctuations of a grafted semiflexible polymer upon a rigid smooth wall are calculated both analytically and by Monte Carlo simulations. Such forces are thought to play an important role for…

Soft Condensed Matter · Physics 2007-05-23 Azam Gholami , Jan Wilhelm , Erwin Frey

We present a Monte Carlo algorithm that provides efficient and unbiased sampling of polymer melts consisting of two chains of equal length that jointly visit all the sites of a cubic lattice with rod geometry L x L x rL and non-periodic…

Statistical Mechanics · Physics 2010-11-03 Jesper Lykke Jacobsen

Ladder polymers, known for their rigid, ladder-like structures, exhibit exceptional thermal stability and mechanical strength, positioning them as candidates for advanced applications. However, accurately determining their structure from…

Soft Condensed Matter · Physics 2025-05-23 Lijie Ding , Chi-Huan Tung , Zhiqiang Cao , Zekun Ye , Xiaodan Gu , Yan Xia , Wei-Ren Chen , Changwoo Do

The scattering phase, defined as $ \log \det S ( \lambda ) / 2\pi i $ where $ S ( \lambda ) $ is the (unitary) scattering matrix, is the analogue of the counting function for eigenvalues when dealing with exterior domains and is closely…

Spectral Theory · Mathematics 2022-10-19 Jeffrey Galkowski , Pierre Marchand , Jian Wang , Maciej Zworski

Semiflexible polymer models are widely used as a paradigm to understand structural phases in biomolecules including folding of proteins. Since stable knots are not so common in real proteins, the existence of stable knots in semiflexible…

Soft Condensed Matter · Physics 2021-07-14 Suman Majumder , Martin Marenz , Subhajit Paul , Wolfhard Janke

We consider an inextensible, semiflexible polymer or worm-like chain, with persistence length $P$ and contour length $L$, fluctuating in a cylindrical channel of diameter $D$. In the regime $D\ll P\ll L$, corresponding to a long, tightly…

Soft Condensed Matter · Physics 2015-05-19 Theodore W. Burkhardt , Yingzi Yang , Gerhard Gompper

In this paper, we will analyze the short distance corrections to low energy scattering. They are produced because of an intrinsic extended structure of the background geometry of spacetime. It will be observed that the deformation produced…

High Energy Physics - Theory · Physics 2019-07-02 Mir Faizal , S. E. Korenblit , A. V. Sinitskaya , Sudhaker Upadhyay

We present a method to generate realistic, three-dimensional networks of crosslinked semiflexible polymers. The free energy of these networks is obtained from the force-extension characteristics of the individual polymers and their…

Soft Condensed Matter · Physics 2009-11-13 E. M. Huisman , C. Storm , G. T. Barkema

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

Advanced chain-growth computer simulation methodologies have been employed for a systematic statistical analysis of the critical behavior of a polymer adsorbing at a substrate. We use finitesize scaling techniques to investigate the…

Soft Condensed Matter · Physics 2017-05-09 J. A. Plascak , Paulo H. L. Martins , Michael Bachmann

Within the framework of a (1+1)--dimensional model which mimics high energy QCD, we study the behavior of the cross sections for inclusive and diffractive deep inelastic $\gamma^*h$ scattering cross sections. We analyze the cases of both…

High Energy Physics - Phenomenology · Physics 2012-09-28 M. B. Gay Ducati , E. G. de Oliveira , J. T. de Santana Amaral

Local chain structure and local environment play an important role in the dynamics of polymer chains in miscible blends. In general, the friction coefficients that describe the segmental dynamics of the two components in a blend differ from…

Soft Condensed Matter · Physics 2009-11-11 Jutta Luettmer-Strathmann , Manjeera Mantina

We describe and discuss the low-temperature resistivity (and the temperature-dependent inelastic scattering rate) of several different doped 2D semiconductor systems from the perspective of the Planckian hypothesis asserting that…

Mesoscale and Nanoscale Physics · Physics 2022-11-02 Seongjin Ahn , Sankar Das Sarma

A lattice model of the directed self-avoiding walk is used to estimate the possibility on the formation of an infinitely long linear semi-flexible copolymer chain. The copolymer chain is assumed to composed of four different types of the…

Statistical Mechanics · Physics 2021-04-28 Pramod Kumar Mishra

We formulate the first order Fermi acceleration in parallel shock waves in terms of the random walk theory. The formulation is applicable to any value of the shock speed and the particle speed, in particular to the acceleration in…

Astrophysics · Physics 2009-10-31 T. N. Kato , F. Takahara

We consider the single-file dynamics of $N$ identical random walkers moving with diffusivity $D$ in one dimension (walkers bounce off each other when attempting to overtake). Additionally, we require that the separation between neighboring…

Statistical Mechanics · Physics 2025-07-03 Santos Bravo Yuste , A. Baumgaertner , E. Abad

We consider random walk model of a semi-flexible polymer chain on a square and a cubic lattice to enumerate conformations of the polymer chain in two and three dimensions, respectively. The bending energy of the chain is assumed as the key…

Soft Condensed Matter · Physics 2020-08-04 Pramod Kumar Mishra

We investigate conformations and dynamics of a polymer considering its monomers to be active Brownian particles. This active polymer shows very intriguing physical behavior which is absent in an active Rouse chain. The chain initially…

Soft Condensed Matter · Physics 2020-04-13 Shalabh K. Anand , Sunil P. Singh

Monte Carlo simulations are used to study the conformational behavior of a semiflexible polymer confined to cylindrical and conical channels. The channels are sufficiently narrow that the conditions for the Odijk regime are marginally…

Soft Condensed Matter · Physics 2020-12-02 James M. Polson , Cameron G. Hastie

We present a perturbative approach to disordered systems in one spatial dimension that accesses the full range of phase disorder and clarifies the connection between localization and phase information. We consider a long chain of…

Disordered Systems and Neural Networks · Physics 2024-03-04 Adrian B. Culver , Pratik Sathe , Rahul Roy