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We present a theoretical model for understanding the kinetics of a long polymer in solution. A Smoluchowski-like equation has been used to model the problem of polymer looping with a Dirac delta function sink of finite strength. The results…

Statistical Mechanics · Physics 2017-04-25 Moumita Ganguly , Anirudhha Chakraborty

We study the diffusion of a linear polymer in the presence of permeable membranes without excluded volume interactions, using scaling theory and Monte Carlo simulations. We find that the average time it takes for a chain with polymerization…

Condensed Matter · Physics 2016-08-31 Hyoungsoo Yoon , J. M. Deutsch

We consider the stochastic evolution of a (1 + 1)-dimensional polymer in the depinned regime. At equilibrium the system exhibits a double well structure: the polymer lies(essentially) either above or below the repulsive line. As a…

Using a novel theoretical approach, we study the mean first encounter time (MFET) between the two ends of a polymer. Previous approaches used various simplifications that reduced the complexity of the problem, leading, however to…

Statistical Mechanics · Physics 2013-12-23 Assaf Amitai , Ivan Kupka , David Holcman

In this paper we study the tunneling using a background independent (polymer) quantization scheme. We show that at low energies, for the tunneling through a single potential barrier, the polymer transmission coefficient and the polymer…

Quantum Physics · Physics 2014-08-29 A. Martín-Ruiz , E. Chan-López , A. Carbajal-Domínguez , J. Bernal

Polymer ejection from nano-confinement has been of interest due to its relation to various fundamental sciences and applications. However, the ejection dynamics of a polymer with different persistence lengths from confinement through a…

Soft Condensed Matter · Physics 2023-06-13 Farzaneh Moazemi , Samaneh Ghanbari-Kashan , Narges Nikoofard

We investigate the translocation dynamics of a folded linear polymer which is pulled through a nanopore by an external force. To this end, we generalize the iso-flux tension propagation (IFTP) theory for end-pulled polymer translocation to…

Soft Condensed Matter · Physics 2019-12-18 Bappa Ghosh , Jalal Sarabadani , Srabanti Chaudhury , Tapio Ala-Nissila

In this paper we present a computer simulation study of ionic conductivity in solid polymeric electrolytes. The multiphase nature of the material is taken into account. The polymer is represented by a regular lattice whose sites represent…

Condensed Matter · Physics 2007-05-23 Aninda Jiban Bhattacharyya , T. R. Middya , S. Tarafdar

We consider the problem of undirected polymers (tied at the endpoints) in random environment, also known as the unoriented first passage percolation on the hypercube, in the limit of large dimensions. By means of the multiscale refinement…

Probability · Mathematics 2020-12-09 Nicola Kistler , Adrien Schertzer

Some recent results on the rotational dynamics of polymers are reviewed and extended. We focus here on the relaxation of a polymer, either flexible or semiflexible, initially wrapped around a rigid rod. We also study the steady polymer…

Statistical Mechanics · Physics 2015-06-22 Jean-Charles Walter , Michiel Laleman , Marco Baiesi , Enrico Carlon

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 investigate numerically the dynamical behaviour of a polymer chain collapsing in a dilute solution. The rate of collapse is measured with and without the presence of hydrodynamic interactions. We find that hydrodynamic interactions both…

Soft Condensed Matter · Physics 2009-11-07 N. Kikuchi , A. Gent , J. M. Yeomans

We show the presence of both a minimum and clear oscillations in the frequency dependence of the translocation time of a polymer described as a unidimensional Rouse chain driven by a spatially localized oscillating linear potential. The…

Soft Condensed Matter · Physics 2010-09-16 Alessandro Fiasconaro , Juan José Mazo , Fernando Falo

The conformations of interacting linear polymers on a dynamical planar random lattice are studied using a random two-matrix model. An exact expression for the partition function of self-avoiding chains subject to attractive contact…

Condensed Matter · Physics 2008-02-03 Simon Dalley

We study the conformation and dynamics of a single polymer chain that is pulled by a constant force applied at its one end with the other end free. Such a situation is relevant to the growing technology of manipulating individual…

Soft Condensed Matter · Physics 2015-06-04 Takahiro Sakaue , Takuya Saito , Hirofumi Wada

Using an algorithm for simulating equilibrium configurations, we study a fluctuating helical polymer either (i) contained in a cylindrical pore or (ii) wound around a cylindrical rod. We work in the regime where both the contour length and…

Soft Condensed Matter · Physics 2009-11-10 A. Lamura , T. W. Burkhardt , G. Gompper

The translocation of a polymer through a pore in a membrane separating fluids of different viscosities is studied via several computational approaches. Starting with the polymer halfway, we find that as a viscosity difference across the…

Soft Condensed Matter · Physics 2013-04-17 Hendrick W. de Haan , Gary W. Slater

The presence of temporal correlations in random movement trajectories is a widespread phenomenon across biological, chemical and physical systems. The ubiquity of persistent and anti-persistent motion in many natural and synthetic systems…

Statistical Mechanics · Physics 2024-07-03 Daniel Marris , Luca Giuggioli

Understanding and computing the entropic forces exerted by polymer chains under confinement is important for many reasons, from research to applications. However, extracting properties related to the free energy, such as the force (or…

Soft Condensed Matter · Physics 2025-07-08 Marcio S. Gomes-Filho , Eugene M. Terentjev

Using Langevin Dynamics simulations, we study a simple model of interacting-polymer under a periodic force. The force-extension curve strongly depends on the magnitude of the amplitude $(F)$ and the frequency ($\nu$) of the applied force.…

Soft Condensed Matter · Physics 2013-10-01 Rakesh Kumar Mishra , Garima Mishra , Debaprasad Giri , Sanjay Kumar