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Related papers: Polymer Escape from a Metastable Kramers potential…

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We study the dynamics of polymer chains in a bath of self-propelled particles (SPP) by extensive Langevin dynamics simulations in a two dimensional system. Specifically, we analyse the polymer looping properties versus the SPP activity and…

Soft Condensed Matter · Physics 2016-09-26 J. Shin , A. G. Cherstvy , W. K. Kim , R. Metzler

The nematic ordering in semiflexible polymers with contour length $L$ exceeding their persistence length $\ell_p$ is described by a confinement of the polymers in a cylinder of radius $r_{eff}$ much larger than the radius $r_\rho$, expected…

Soft Condensed Matter · Physics 2016-05-11 Sergei A. Egorov , Andrey Milchev , Kurt Binder

The paper considers a process of escape of classical particle from a one-dimensional potential well by virtue of an external harmonic forcing. We address a particular model of the infinite-range potential well that allows independent…

Classical Physics · Physics 2017-09-28 O. V. Gendelman

Brownian escape is key to a wealth of physico-chemical processes, including polymer folding, and information storage. The frequency of thermally activated energy barrier crossings is assumed to generally decrease exponentially with…

Soft Condensed Matter · Physics 2020-06-19 Marie Chupeau , Jannes Gladrow , Alexei Chepelianskii , Ulrich F. Keyser , Emmanuel Trizac

We investigate a reversible polymerization process in which individual polymers aggregate and fragment at a rate proportional to their molecular weight. We find a nonequilibrium phase transition despite the fact that the dynamics are…

Statistical Mechanics · Physics 2008-06-24 E. Ben-Naim , P. L. Krapivsky

The results obtained from molecular dynamics simulations of the friction at an interface between polymer melts and weakly attractive crystalline surfaces are reported. We consider a coarse-grained bead-spring model of linear chains with…

Soft Condensed Matter · Physics 2012-06-12 Nikolai V. Priezjev

The problem of noise-induced transitions is often associated with Hendrik Kramers due to his seminal paper of 1940, where an archetypal example - one-dimensional potential system subject to linear damping and weak white noise - was…

Statistical Mechanics · Physics 2023-01-30 Stanislav M. Soskin , Tetiana L. Linnik

We analyze the behavior of a Brownian particle moving in a double-well potential. The escape probability of this particle over the potential barrier from a metastable state toward another state is known as the Kramers problem. In this work…

Chaotic Dynamics · Physics 2009-11-13 A. O. Bolivar

This paper reports the force spectroscopy analysis of a polymer that translocates from one side of a membrane to the other side through an extended pore, pulled by a cantilever that moves with constant velocity against the damping and the…

Soft Condensed Matter · Physics 2018-12-12 Alessandro Fiasconaro , Fernando Falo

Polymers exposed to shear flow exhibit a rich tumbling dynamics. While rigid rods rotate on Jeffery orbits, flexible polymers stretch and coil up during tumbling. Theoretical results show that in both of these asymptotic regimes the…

Soft Condensed Matter · Physics 2014-05-27 Philipp S. Lang , Benedikt Obermayer , Erwin Frey

We present computer simulations of a dynamic Monte Carlo algorithm for polymer chains on the FCC lattice which takes explicitly into account the possibility to overcome topological constraints by controlling the rate at which nearby polymer…

Soft Condensed Matter · Physics 2021-12-01 Mattia Alberto Ubertini , Angelo Rosa

This study focuses on comparing the individual polymer chain dynamics in an entangled polymeric liquid under different shear and extension rates. Polymer chains under various shear rates and extension rates were simulated using a…

Chemical Physics · Physics 2021-01-15 Behrouz Behdani , Tong Mou , Cody Spratt , Slava Butcovich , Ryan Gettler , Joontaek Park

We study the propulsion of a one-dimensional (1D) polymer chain under sinusoidal external forces in the overdamped (low Reynolds number) regime. We show that, when hydrodynamical interactions are included, the polymer presents directional…

Soft Condensed Matter · Physics 2012-09-25 Daniel Santos-Oliván , Alessandro Fiasconaro , Fernando Falo

Jumps between neighboring minima in the energy landscape of both homopolymeric and heteropolymeric chains are numerically investigated by determining the average escape time from different valleys. The numerical results are compared to the…

Statistical Mechanics · Physics 2007-05-23 Lorenzo Bongini , Roberto Livi , Alessandro Torcini , Antonio Politi

The conformational properties of flexible and semiflexible polymers exposed to active noise are studied theoretically. The noise may originate from the interaction of the polymer with surround- ing active (Brownian) particles or from the…

Soft Condensed Matter · Physics 2024-06-03 Thomas Eisenstecken , Gerhard Gompper , Roland G. Winkler

At sufficiently low temperatures, the reaction rates in solids are controlled by quantum rather than by thermal fluctuations. We solve the Schr\"odinger equation for a Gaussian wave packet in a nonstation-ary harmonic oscillator and derive…

We consider a two-dimensional, tangentially active, semi-flexible, self-avoiding polymer to find a dynamical re-entrant transition between motile open chains and spinning achiral spirals with increasing activity. Utilizing probability…

Soft Condensed Matter · Physics 2024-10-08 Chitrak Karan , Abhishek Chaudhuri , Debasish Chaudhuri

Inspired by how the shape deformations in active organisms help them to migrate through disordered porous environments, we simulate active ring polymers in two-dimensional random porous media. Flexible and inextensible active ring polymers…

Soft Condensed Matter · Physics 2022-08-16 Ligesh Theeyancheri , Subhasish Chaki , Tapomoy Bhattacharjee , Rajarshi Chakrabarti

Monte Carlo (MC) simulations are used to study the dynamics of polymer translocation through a nanopore in the limit where the translocation rate is sufficiently slow that the polymer maintains a state of conformational quasi-equilibrium.…

Soft Condensed Matter · Physics 2015-06-12 James M. Polson , Anthony C. M. McCaffrey

Kramers' rate theory forms a cornerstone for thermally activated barrier crossing. However, its reliance on equilibrium quantities excludes analysis of nonequilibrium dynamics at early times. Most works have thus focused on obtaining rates…

Statistical Mechanics · Physics 2025-09-09 A. J. Archer , T. Ala-Nissila , T. J. W. Honour , S. P. Fitzgerald