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An extended polymer collapses to form a globule when subjected to a quench below the collapse transition temperature. The process begins with the formation of clusters of monomers or ``pearls''. The nascent clusters merge, resulting in…

Soft Condensed Matter · Physics 2026-03-12 Suman Majumder , Saikat Chakraborty

Presenting theoretical arguments and numerical results we demonstrate long-range intrachain correlations in concentrated solutions and melts of long flexible polymers which cause a systematic swelling of short chain segments. They can be…

Soft Condensed Matter · Physics 2009-11-13 J. P. Wittmer , P. Beckrich , H. Meyer , A. Cavallo , A. Johner , J. Baschnagel

Molecular dynamics simulation methods are used to study the folding of polymer chains into packed cubic states. The polymer model, based on a chain of linked sites moving in the continuum, includes both excluded volume and torsional…

Soft Condensed Matter · Physics 2009-11-10 D. C. Rapaport

We investigate polymer partitioning from polymer mixtures into nanometer size cavities by formulating an equation of state for a binary polymer mixture assuming that only one (smaller) of the two polymer components can penetrate the cavity.…

Soft Condensed Matter · Physics 2015-06-11 Rudolf Podgornik , Jaime Hopkins , V. Adrian Parsegian , Murugappan Muthukumar

The adsorption of a single multi-block $AB$-copolymer on a solid planar substrate is investigated by means of computer simulations and scaling analysis. It is shown that the problem can be mapped onto an effective homopolymer adsorption…

Soft Condensed Matter · Physics 2008-06-27 Swati Bhattacharya , Hsiao-Ping Hsu , Andrey Milchev , Vakhtang G. Rostiashvili , Thomas A. Vilgis

Loop formation between monomers in the interior of semiflexible chains describes elementary events in biomolecular folding and DNA bending. We calculate analytically the interior distance distribution function for semiflexible chains using…

Soft Condensed Matter · Physics 2009-11-11 Changbong Hyeon , D. Thirumalai

We present a scaling theory describing the collapse of a homopolymer chain in poor solvent. At time t after the beginning of the collapse, the original Gaussian chain of length N is streamlined to form N/g segments of length R(t), each…

Soft Condensed Matter · Physics 2009-11-07 Cameron F. Abrams , Namkyung Lee , Sergei Obukhov

We study the conformational properties of complex Gaussian polymers containing $f_c$ linear branches and $f_r$ closed loops, periodically tethered at $n$ branching points to either a linear polymer backbone (generalized bottlebrush…

Soft Condensed Matter · Physics 2022-03-21 K. Haydukivska , V. Blavatska

In this chapter we review the rich behavior of polymer chains embedded in a quenched random environment. We first consider the problem of a Gaussian chain free to move in a random potential with short-ranged correlations. We derive the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yadin Y. Goldschmidt , Yohannes Shiferaw

The adsorption of an ideal heteropolymer loop at a potential point well is investigated within the frameworks of a standard random matrix theory. On the basis of semi-analytical/semi-numerical approach the histogram of transition points for…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Naidenov , S. Nechaev

We develop a theory for polymer translocation driven by a time-dependent force through an oscillating nanopore. To this end, we extend the iso-flux tension propagation theory (IFTP) [Sarabadani \textit{et al., J. Chem. Phys.}, 2014,…

Statistical Mechanics · Physics 2015-09-02 Jalal Sarabadani , Timo Ikonen , Tapio Ala-Nissila

The investigation of a dilute solution of phantom ideal ring polymers and ring polymers with excluded volume interactions (EVI) in a good solvent confined in a slit geometry of two parallel repulsive walls and in a solution of colloidal…

Biological Physics · Physics 2017-04-26 Z. Usatenko , J. Halun , P. Kuterba

We investigate several scaling properties of a translocating homopolymer through a thin pore driven by an external field present inside the pore only using Langevin Dynamics (LD) simulation in three dimension (3D). Specifically motivated by…

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

We show that the structural properties and phase behavior of a self-avoiding polymer chain on adhesive substrate, subject to pulling at the chain end, can be obtained by means of a Grand Canonical Ensemble (GCE) approach. We derive…

Soft Condensed Matter · Physics 2009-04-05 S. Bhattacharya , V. G. Rostiashvili , A. Milchev , T. A. Vilgis

The statistical mechanics of a non-interacting polymer chain in the limit of a large number of monomers is considered when the total angular momentum, L, is fixed. The radius of gyration for a ring polymer in this situation is derived…

Statistical Mechanics · Physics 2009-11-13 J. M. Deutsch

The statistics of polymers advected by a turbulent flow are investigated. To limit the polymer lengths above to coil-stretch transition, a FENE-P type relaxation law is used. The turbulence is modeled by a random strain, delta-correlated in…

Chaotic Dynamics · Physics 2009-11-07 Jean-Luc Thiffeault

I did off-lattice 3D Monte Carlo simulations for polymer translocation through a narrow pore at low external field, trying to be as close to a direct approach as possible. The process was found non equilibrium globally, but dynamics of the…

Soft Condensed Matter · Physics 2008-06-18 Stanislav Kotsev

Polymer adsorption on fractally rough walls of varying dimensionality is studied by renormalization group methods on hierarchical lattices. Exact results are obtained for deterministic walls. The adsorption transition is found continuous…

Statistical Mechanics · Physics 2007-05-23 G. Giugliarelli , A. L. Stella

The Rouse model can be regarded as the standard model to describe the dynamics of a short polymer chain under melt conditions. In this contribution, we explicitly check one of the fundamental assumptions of this model, namely that of a…

Soft Condensed Matter · Physics 2014-10-14 Diddo Diddens , Andreas Heuer