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We study the conformations of polymer chains in a poor solvent, with and without bending rigidity, by means of a simple statistical mechanics model. This model can be exactly solved for chains of length up to N=55 using exact enumeration…

Statistical Mechanics · Physics 2007-11-26 Anthony J. Guttmann , Jesper L. Jacobsen , Iwan Jensen , Sanjay Kumar

We consider a stiff polymer chain in poor solvent and apply a force at one end of the chain. We find that by varying the stiffness parameter, polymer undergoes a transition from the globule state to the folded like state. The conformation…

Soft Condensed Matter · Physics 2015-05-13 Sanjay Kumar , Debaprasad Giri

We study the unfolding of a single polymer chain due to an external force. We use a simplified model which allows to perform all calculations in closed form without assuming a Boltzmann-Gibbs form for the equilibrium distribution.…

Statistical Mechanics · Physics 2009-11-13 Erik Van der Straeten , Jan Naudts

Single-molecule atomic force spectroscopy probes elastic properties of titin, ubiquitin and other relevant proteins. We explain bioprotein folding dynamics under both length- and force-clamp by modeling polyprotein modules as particles in a…

Statistical Mechanics · Physics 2016-11-17 L. L. Bonilla , A. Carpio , A. Prados

Taking into account the nonequivalence of fixed-force and fixed-length ensembles in the weak-force regime, equations of state are derived that describe the equilibrium extension or compression of an ideal Gaussian polymer chain in response…

Soft Condensed Matter · Physics 2007-05-23 Richard M. Neumann

The breakage of a polymer chain of segments, coupled by anharmonic bonds with applied constant external tensile force is studied by means of Molecular Dynamics simulation. We show that the mean life time of the chain becomes progressively…

Soft Condensed Matter · Physics 2015-05-27 J. Paturej , A. Milchev , V. G. Rostiashvili , T. A. Vilgis

The interplay of nematic order and phase separation in solutions of semiflexible polymers in solvents of variable quality is investigated by density functional theory (DFT) and molecular dynamics (MD) simulations. We studied coarse-grained…

Soft Condensed Matter · Physics 2019-09-04 Jiarul Midya , Sergei A. Egorov , Kurt Binder , Arash Nikoubashman

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 an extremely simplified model of multiple-domains polymer stretching in an atomic force microscopy experiment. We portray each module as a binary set of contacts and decompose the system energy into a harmonic term (the…

Biomolecules · Quantitative Biology 2008-01-20 Carlo Guardiani , Franco Bagnoli

Aiming at the mechanical properties of cross-linked biopolymers, we set up and analyze a model of two weakly bending wormlike chains subjected to a tensile force, with regularly spaced inter-chain bonds (cross-links) represented by harmonic…

Biological Physics · Physics 2014-06-24 Alice von der Heydt , Daniel Wilkin , Panayotis Benetatos , Annette Zippelius

Mechanically induced protein unfolding in the force-clamp apparatus is shown, in a coarse-grained model of ubiquitin, to have lognormal statistics above a treshold force and exponential below it. Correspondingly, the mean unfolding time is…

Biomolecules · Quantitative Biology 2007-05-23 Piotr Szymczak , Marek Cieplak

We investigate the folding and forced-unbinding transitions of adsorbed semiflexible polymer chains using theory and simulations. These processes describe biologically relevant phenomena that include adhesive interactions between proteins…

Soft Condensed Matter · Physics 2007-05-23 V. Barsegov , D. Thirumalai

Conformations of a single semiflexible polymer chain dissolved in a low molecular weight liquid crystalline solvents (nematogens) are examined by using a mean field theory. We takes into account a stiffness and partial orientational…

Soft Condensed Matter · Physics 2009-11-07 Akihiko Matsuyama

We elucidate the elastic behavior of a wormlike chain in 3D under compression and provide exact solutions for the experimentally accessible force-extension relation in terms of generalized spheroidal wave functions. In striking contrast to…

Soft Condensed Matter · Physics 2019-11-11 Christina Kurzthaler

We have used kinetic Monte Carlo simulations to study the kinetics of unfolding of cross-linked polymer chains under mechanical loading. As the ends of a chain are pulled apart, the force transmitted by each crosslink increases until it…

Biological Physics · Physics 2009-11-10 Kilho Eom , Dmitrii E Makarov , Gregory J. Rodin

We study the influence of some quenched disorder in the sequence of monomers on the entropic elasticity of long polymeric chains. Starting from the Kratky-Porod model, we show numerically that some randomness in the favoured angles between…

Statistical Mechanics · Physics 2009-10-30 D. Bensimon , D. Dohmi , M. Mezard

Effect of molecular crowding and confinement experienced by protein in the cell during unfolding has been studied by modeling a linear polymer chain on a percolation cluster. It is known that internal structure of the cell changes in time,…

Soft Condensed Matter · Physics 2015-05-14 Amit Raj Singh , Debaprasad Giri , Sanjay Kumar

We present a unified scaling theory for the dynamics of monomers for dilute solutions of semiflexible polymers under good solvent conditions in the free draining limit. Our theory encompasses the well-known regimes of mean square…

Soft Condensed Matter · Physics 2015-06-17 Aiqun Huang , Ramesh Adhikari , Aniket Bhattacharya , Kurt Binder

We investigate theoretically the effect of polymer tension on the collective behavior of reversibly binding cross-links. For this purpose, we employ a model of two weakly bending wormlike chains aligned in parallel by a tensile force, with…

Biological Physics · Physics 2015-02-10 Panayotis Benetatos , Alice von der Heydt , Annette Zippelius

We analyze the nonequilibrium dynamics of single inextensible semiflexible biopolymers as stretching forces are applied at the ends. Based on different (contradicting) heuristic arguments, various scaling laws have been proposed for the…

Soft Condensed Matter · Physics 2007-09-17 B. Obermayer , O. Hallatschek , E. Frey , K. Kroy
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