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Bead spring models for polymers in solution are nonlinear if either the finite extensibility of the polymer, excluded volume effects or hydrodynamic interactions between polymer segments are taken into account. For such models we use a…

Soft Condensed Matter · Physics 2009-11-07 Roland Rzehak , Walter Zimmermann

In this paper, we focus on the control of the mean field equilibrium of non linear networks of the Langevin type in the limit of small noise. Using iterative linear approximations, we derive a formula that prescribes a control strategy in…

Statistical Mechanics · Physics 2017-07-06 Giuseppe Forte , Dervis C. Vural

We study the relaxation process in normal and anomalous diffusion regimes for systems described by a generalized Langevin equation (GLE). We demonstrate the existence of a very general correlation function which describes the relaxation…

Disordered Systems and Neural Networks · Physics 2007-05-23 Mendeli H. Vainstein , Ismael V. L. Costa , Rafael Morgado , Fernando A. Oliveira

We have developed a theory of polymer entanglement using an extended Cahn-Hilliard functional, with two extra terms. One is a nonlocal attractive term, operating over mesoscales, which is interpreted as giving rise to entanglement, and the…

Soft Condensed Matter · Physics 2008-11-26 Shirish M. Chitanvis

The relaxation of initially straight semiflexible polymers has been discussed mainly with respect to the longest relaxation time. The biologically relevant non-equilibrium dynamics on shorter times is comparatively poorly understood, partly…

Soft Condensed Matter · Physics 2009-02-27 B. Obermayer , W. Mobius , O. Hallatschek , E. Frey , K. Kroy

We investigate the influence of a self-propelling, out-of-equilibrium active particle on generalized elastic systems, including flexible and semiflexible polymers, fluid membranes, and fluctuating interfaces, while accounting for…

Soft Condensed Matter · Physics 2024-01-25 Alessandro Taloni

We propose predictive information, that is information between a long past of duration T and the entire infinitely long future of a time series, as a universal order parameter to study phase transitions in physical systems. It can be used,…

Statistical Mechanics · Physics 2014-02-04 Martin Tchernookov , Ilya Nemenman

In this review we discuss the persistence and the related first-passage properties in extended many-body nonequilibrium systems. Starting with simple systems with one or few degrees of freedom, such as random walk and random acceleration…

Statistical Mechanics · Physics 2013-06-26 Alan J. Bray , Satya N. Majumdar , G. Schehr

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

Polymer translocation through a nano-pore in a thin membrane is studied using a coarse-grained bead-spring model and Langevin dynamics simulation with a particular emphasis to explore out of equilibrium characteristics of the translocating…

Soft Condensed Matter · Physics 2015-05-14 Aniket Bhattacharya , Kurt Binder

Using Langevin dynamics simulations, we study a system of transversely propelling filament and passive Brownian particles. We consider a polymer whose monomers experience a constant propulsion force perpendicular to the local tangent in the…

Soft Condensed Matter · Physics 2022-12-29 K. R. Prathyusha

We study the mechanical unfolding of a simple model protein. The Langevin dynamics results are analyzed using Markov-model methods which allow to describe completely the configurational space of the system. Using transition path theory we…

Biological Physics · Physics 2015-06-08 Rafael Tapia-Rojo , Sergio Arregui , Juan José Mazo , Fernando Falo

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

We present a novel and rigorous approach to the Langevin dynamics of ideal polymer chains subject to internal distance constraints. The permanent constraints are modelled by harmonic potentials in the limit when the strength of the…

Soft Condensed Matter · Physics 2009-10-28 M. P. Solf , T. A. Vilgis

We solve the Chapman-Kolmogorov equation and study the exact splitting probabilities of the general stochastic process which describes polymer translocation through membrane pores within the broad class of Markov chains. Transition…

Statistical Mechanics · Physics 2015-05-19 Felipe Mondaini , L. Moriconi

We study model near-critical polymer gelling systems made of gluten proteins dispersions stabilized at different distances from the gel point. We impose different shear rates and follow the time evolution of the stress. For sufficiently…

Soft Condensed Matter · Physics 2024-07-18 Ameur Louhichi , Marie-Hélène Morel , Laurence Ramos , Amélie Banc

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

Transition phenomena between thermal noise state and turbulent state observed in a submarginal turbulent plasma are analyzed with statistical theory. Time-development of turbulent fluctuation is obtained by numerical simulations of Langevin…

Plasma Physics · Physics 2018-02-07 Mitsuhiro Kawasaki , Atsushi Furuya , Masatoshi Yagi , Kimitaka Itoh , Sanae-I. Itoh

Predicting the macroscopic mechanical behavior of polymeric materials from the micro-structural features has remained a challenge for decades. Existing theoretical models often fail to accurately capture the experimental data, due to…

Soft Condensed Matter · Physics 2025-07-04 Lin Zhan , Siyu Wang , Rui Xiao , Shaoxing Qu , Paul Steinmann

We derive the stochastic equations of motion for a tracer that is tightly attached to a semiflexible polymer and confined or agitated by an externally controlled potential. The generalised Langevin equation, the power spectrum, and the…

Soft Condensed Matter · Physics 2011-11-22 Jakob Tómas Bullerjahn , Sebastian Sturm , Lars Wolff , Klaus Kroy
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