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The persistence length of semiflexible polymers and one-dimensional fluid membranes is obtained from the renormalization of their bending rigidity. The renormalized bending rigidity is calculated using an exact real-space functional…

Statistical Mechanics · Physics 2012-05-02 Petra Gutjahr , Reinhard Lipowsky , Jan Kierfeld

Brownian motion and viscoelasticity of semiflexible polymers is a subject that has been studied for many years. Still, rigorous analysis has been hindered due to the difficulty in handling the constraint that polymer chains cannot be…

Soft Condensed Matter · Physics 2024-05-22 Zhongqiang Xiong , Ryohei Seto , Masao Doi

The flow behavior of a semiflexible polymer in microchannels is studied using Multiparticle Collision Dynamics (MPC), a particle-based hydrodynamic simulation technique. Conformations, distributions, and radial cross-streamline migration…

Soft Condensed Matter · Physics 2015-05-19 Raghunath Chelakkot , Roland G. Winkler , Gerhard Gompper

Simple expressions for the bending and the base-stacking energy of double-stranded semiflexible biopolymers (such as DNA and actin) are derived. The distribution of the folding angle between the two strands is obtained by solving a…

Soft Condensed Matter · Physics 2009-10-31 Zhou Haijun , Ou-Yang Zhong-can

The explicit expression for the the probability distribution function of the endpoint fluctuations of one-dimensional directed polymers in random potential is derived in terms of the Bethe ansatz replica technique by mapping the replicated…

Statistical Mechanics · Physics 2015-06-11 Victor Dotsenko

Active polymers play a central role in many biological systems, from bacterial flagella to cellular cytoskeletons. Minimal models of semiflexible active filaments have been used to study a variety of interesting phenomena in active systems,…

Soft Condensed Matter · Physics 2020-02-19 Matthew S. E. Peterson , Michael F. Hagan , Aparna Baskaran

We present a Monte Carlo algorithm for selectively sampling radial distribution functions and effective interaction potentials in asymmetric liquid mixtures. We demonstrate its efficiency for hard-sphere mixtures, and for model systems with…

Soft Condensed Matter · Physics 2009-11-13 J. G. Malherbe , Werner Krauth

Monte Carlo simulations of coarse-grained polymers provide a useful tool to deepen the understanding of conformational and statistical properties of polymers both in physical as well as in biological systems. In this study we sample compact…

Soft Condensed Matter · Physics 2009-05-07 Manfred Bohn , Dieter W. Heermann

We describe a simple meanfield variational approach to study a number of properties of intrinsically stiff chains which are appropriate models for a large class of biopolymers. We present the calculation of the distribution of end-to-end…

Soft Condensed Matter · Physics 2008-02-03 D. Thirumalai , B. -Y. Ha

We consider the motion of semiflexible polymers in double-well potentials. We calculate shape, energy, and effective diffusion constant of kink excitations, and in particular their dependence on the bending rigidity of the semiflexible…

Statistical Mechanics · Physics 2009-11-11 P. Kraikivski , R. Lipowsky , J. Kierfeld

We develop a scaling theory to describe dynamic fluctuations of a semiflexible polymer and find several distinct regimes. We performed simulations to characterize the longitudinal and transverse dynamics; using ensemble averaging for a…

Soft Condensed Matter · Physics 2009-10-31 R. Everaers , F. Julicher , A. Ajdari , A. C. Maggs

The persistence length of macromolecules is one of their basic characteristics, describing their intrinsic local stiffness. However, it is difficult to extract this length from physical properties of the polymers, different recipes may give…

Soft Condensed Matter · Physics 2013-03-12 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

In Part I of this contribution, a systematic coarse-grained description of the dynamics of a weakly-bending semiflexible polymer was developed. Here, we discuss analytical solutions of the established deterministic partial…

Soft Condensed Matter · Physics 2007-12-04 Oskar Hallatschek , Erwin Frey , Klaus Kroy

Here, we provide an overview of theoretical approaches to semiflexible polymers and their networks. Such semiflexible polymers have large bending rigidities that can compete with the entropic tendency of a chain to crumple up into a random…

Soft Condensed Matter · Physics 2016-05-25 Chase P. Broedersz , Fred. C. MacKintosh

Recent developments of microscopic mechanical experiments allow the manipulation of individual polymer molecules in two main ways: \textit{uniform} stretching by external forces and \textit{non-uniform} stretching by external fields. Many…

Biological Physics · Physics 2015-06-11 Fabio Manca , Stefano Giordano , Pier Luca Palla , Fabrizio Cleri , Luciano Colombo

We study the statistical mechanics of grafted polymers of arbitrary stiffness in a two-dimensional embedding space with Monte Carlo simulations. The probability distribution function of the free end is found to be highly anisotropic and…

Biological Physics · Physics 2007-05-23 Gianluca Lattanzi , Tobias Munk , Erwin Frey

Polymer models play the special role of elucidating the elementary features describing the physics of long molecules and become essential to interpret the measurements of their magnitudes. In this work the end-to-end distance of an…

Soft Condensed Matter · Physics 2023-02-23 Alessandro Fiasconaro , Fernando Falo

The radial spread of charged particles emitted from a point source in a magnetic field is a potential source of systematic error for any experiment where magnetic fields guide charged particles to detectors with finite size. Assuming…

Instrumentation and Detectors · Physics 2015-06-22 S. K. L. Sjue , L. Broussard , M. Makela , P. L. McGaughey , A. R. Young , B. A. Zeck

The dynamic structure factor of semiflexible polymers in solution is derived from the wormlike chain model. Special attention is paid to the rigid constraint of an inextensible contour and to the hydrodynamic interactions. For the cases of…

Soft Condensed Matter · Physics 2009-10-28 Klaus Kroy , Erwin Frey

Long DNA molecules can be mapped by cutting them with restriction enzymes inside a narrow channel. Once cut, the individual fragments thus produced move away from each other due to diffusion and entropic effects. We investigate how long it…

Soft Condensed Matter · Physics 2025-06-11 Hanyang. Wang , Gary W Slater