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Synthetic copolymers and biopolymers, such as polypeptides and double-stranded DNA, often exhibit strong variations in bending stiffness along their contour, which can significantly impact conformational behavior at larger scales. To…

Soft Condensed Matter · Physics 2025-11-04 Yannick Witzky , Friederike Schmid , Arash Nikoubashman

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

We derive the single molecule equation of state (force-extension relation) for DNA molecules bearing sliding loops and deflection defects. Analytical results are obtained in the large force limit by employing an analogy with instantons in…

Soft Condensed Matter · Physics 2009-11-11 Igor M. Kulic , H. Mohrbach , V. Lobaskin , R. Thaokar , H. Schiessel

Conformations of partially or fully adsorbed semiflexible polymer chains are studied varying both contour length $L$, chain stiffness, $\kappa$, and the strength of the adsorption potential over a wide range. Molecular Dynamics simulations…

Soft Condensed Matter · Physics 2019-10-02 Andrey Milchev , Kurt Binder

The relationship between the plateau modulus (G_0) and the persistence length (L_p) of entangled semiflexible polymers is still uncertain. Some previous theoretical models have predicted that G_0 decreases with increasing L_p, while…

Soft Condensed Matter · Physics 2026-02-02 Yuichi Masubuchi , Manlio Tassieri , Giovanni Ianniruberto , Giuseppe Marrucci

While analyzing the persistence length of DNA atomistic simulations Wu et al. [J. Chem. Phys. 142, 125103 (2015)] introduced an empirical formula to account for the observed length-dependence. In particular they found that the persistence…

Soft Condensed Matter · Physics 2021-10-26 Midas Segers , Enrico Skoruppa , Jan A. Stevens , Merijn Vangilbergen , Aderik Voorspoels , Enrico Carlon

In this paper, we present a theory to efficiently deal with mechanical properties of heterogeneous polymer chain in free space and the central problem is to evaluate the diffusion equation and orientation-orientation correlation function,…

Biological Physics · Physics 2019-11-05 Ming Li , Jizeng Wang

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

Many charged polymers, including nucleic acids, are locally stiff. Their bending rigidity -- quantified by the persistence length --, depends crucially on Coulombic features, such as the ionic strength of the solution which offers a…

Soft Condensed Matter · Physics 2016-12-21 E. Trizac , T. Shen

We develop a novel and powerful method of exactly calculating various transport characteristics of waves in one-dimensional random media with (or without) coherent absorption or amplification. Using the method, we compute the probability…

Disordered Systems and Neural Networks · Physics 2009-10-31 Kihong Kim

The most conspicuous property of a semiflexible polymer is its persistence length, defined as the decay length of tangent correlations along its contour. Using an efficient stochastic growth algorithm to sample polymers embedded in a…

Soft Condensed Matter · Physics 2015-06-23 Sebastian Schöbl , Sebastian Sturm , Wolfhard Janke , Klaus Kroy

Finding a theoretical formula for the persistence length of polyelectrolytes for the whole experimental range of salt concentration is a long standing challenge. Using the Tethered Particle Motion technique, the double-stranded DNA…

Soft Condensed Matter · Physics 2023-06-27 Manoel Manghi , Audrey Denis , Nicolas Destainville , Emmanuel Trizac , Catherine Tardin

The viruses studied are genetically engineered, charged, semiflexible filamentous bacteriophages that are structurally identical to M13 virus, but differ either in contour length or surface charge. While varying contour length (L) we assume…

Soft Condensed Matter · Physics 2009-11-10 Kirstin Purdy , Seth Fraden

Dense non-Brownian suspension flows of hard particles display mystifying properties: as the jamming threshold is approached, the viscosity diverges, as well as a length scale that can be identified from velocity correlations. To unravel the…

Statistical Mechanics · Physics 2015-06-16 Gustavo Düring , Edan Lerner , Matthieu Wyart

Structural changes in giant DNA induced by the addition of the flexible polymer PEG were examined by the method of single-DNA observation. In dilute DNA conditions, individual DNA assumes a compact state via a discrete coil-globule…

Soft Condensed Matter · Physics 2016-08-31 M. Kojima , K. Kuobo , K. Yoshikawa

We investigate the kinetics of a polymer collapse due to the formation of irreversible crosslinks between its monomers. Using the contact probability $P(s)$ as a scale-dependent order parameter depending on the chemical distance $s$, our…

Soft Condensed Matter · Physics 2018-08-15 Vittore F. Scolari , Guillaume Mercy , Romain Koszul , Annick Lesne , Julien Mozziconacci

Single molecule studies, at constant force, of the separation of double-stranded DNA into two separated single strands may provide information relevant to the dynamics of DNA replication. At constant applied force, theory predicts that the…

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

We considered a dsDNA polymer in which distribution of bases are random at the base pair level but ordered at a length of 18 base pairs and calculated its force elongation behaviour in the constant extension ensemble. The unzipping force…

Soft Condensed Matter · Physics 2007-05-23 Navin Singh , Yashwant Singh

We present an analysis of an extended Rayleigh-Plesset (RP) equation for a three dimensional cell of microorganisms such as bacteria or viruses in some liquid, where the cell membrane in bacteria or the envelope (capsid) in viruses possess…

Soft Condensed Matter · Physics 2021-08-30 S. C. Mancas , H. C. Rosu , C. -C. Hsieh