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Related papers: Multi-resolution polymer Brownian dynamics with hy…

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This work investigates multi-resolution methodologies for simulating dimer models. The solvent particles which make up the heat bath interact with the monomers of the dimer either through direct collisions (short-range) or through harmonic…

Computational Physics · Physics 2019-02-19 Ravinda Gunaratne , Daniel Wilson , Mark Flegg , Radek Erban

The crossover region in the phase diagram of polymer solutions, in the regime above the overlap concentration, is explored by Brownian Dynamics simulations, to map out the universal crossover scaling functions for the gyration radius and…

Soft Condensed Matter · Physics 2020-07-03 Aashish Jain , B. Duenweg , J. Ravi Prakash

We propose a theory of the dynamics of polymers in dilute solution, in which the popular Zimm and Rouse models are limiting cases of infinitely large and small draining parameter. The equation of motion for the polymer segments beads) is…

Soft Condensed Matter · Physics 2007-05-23 V. Lisy , J. Tothova , A. V. Zatovsky

The diffusion behavior of an active Brownian particle (ABP) in polymer solutions is studied using Langevin dynamics simulations. We find that the long time diffusion coefficient $D$ can show a non-monotonic dependence on the particle size…

Soft Condensed Matter · Physics 2018-01-11 Yunfei Du , Zhonghuai Hou

We consider a general discrete model for heterogeneous semiflexible polymer chains. Both the thermal noise and the inhomogeneous character of the chain (the disorder) are modeled in terms of random rotations. We focus on the quenched…

Probability · Mathematics 2008-12-20 Francesco Caravenna , Giambattista Giacomin , Massimiliano Gubinelli

Polymer dynamics in a turbulent flow is a problem spanning several orders of magnitude of length and time scales. A microscopic simulation covering all those scales from the polymer segment to the inertial scale of turbulence seems…

Statistical Mechanics · Physics 2008-09-30 Jonghoon Lee , Burkhard Duenweg , Joerg Schumacher

The properties of semiflexible polymers tethered by one end to an impenetrable wall and exposed to oscillatory shear flow are investigated by mesoscale simulations. A polymer, confined in two dimensions, is described by a linear bead-spring…

Soft Condensed Matter · Physics 2021-12-14 Antonio Lamura , Roland G. Winkler , Gerhard Gompper

Dynamic density functionals (DDFs) are popular tools for studying the dynamical evolution of inhomogeneous polymer systems. Here, we present a systematic evaluation of a set of diffusive DDF theories by comparing their predictions with data…

Soft Condensed Matter · Physics 2018-02-07 Shuanhu Qi , Friederike Schmid

We employ a multiscale approach to model the translocation of biopolymers through nanometer size pores. Our computational scheme combines microscopic Molecular Dynamics (MD) with a mesoscopic Lattice Boltzmann (LB) method for the solvent…

Computational Physics · Physics 2008-02-27 Maria Fyta , Jayanta Sircar , Efthimios Kaxiras , Simone Melchionna , Massimo Bernaschi , Sauro Succi

The dynamics of low-dimensional Brownian particles coupled to time-dependent driven anisotropic heavy particles (mesogens) in a uniform bath (solvent) have been described through the use of a variant of the stochastic Langevin equation. The…

Statistical Mechanics · Physics 2007-05-23 Eli Hershkovits , Rigoberto Hernandez

Brownian motion in one or more dimensions is extensively used as a stochastic process to model natural and engineering signals, as well as financial data. Most works dealing with multidimensional Brownian motion consider the different…

Statistical Mechanics · Physics 2025-03-10 Michał Balcerek , Adrian Pacheco-Pozo , Agnieszka Wyłomanska , Krzysztof Burnecki , Diego Krapf

This work extends the classical dumbbell (two-bead) model of polymer chains to a more detailed multi-bead representation, where each polymer chain consists of $N$ beads connected by $N-1$ springs. We develop a thermodynamically consistent…

Soft Condensed Matter · Physics 2025-06-11 Xuelian Bao , Lidong Fang , Huaxiong Huang , Zilong Song , Shixin Xu

We construct and exactly solve a model of an extended Brownian ratchet. The model comprises an arbitrary number of heterogeneous, growing and shrinking filaments which together move a rigid membrane by a ratchet mechanism. The model draws…

Statistical Mechanics · Physics 2019-10-23 Anthony J. Wood , Richard A. Blythe , Martin R. Evans

Although it has been established that the multi-chain slip-spring (MCSS) model can reproduce entangled polymer dynamics, the effects of model parameters have not been fully elucidated yet. In this study, we systematically investigated the…

Soft Condensed Matter · Physics 2020-11-09 Yuichi Masubuchi , Yuya Doi , Takashi Uneyama

The role of solvent quality in determining the universal material properties of dilute polymer solutions undergoing steady simple shear flow is examined. A bead-spring chain representation of the polymer molecule is used, and the influence…

Soft Condensed Matter · Physics 2020-07-03 K. Satheesh Kumar , J. Ravi Prakash

We investigate modifications of a stochastic polymer picture through a shift in the boundary between the system and an external environment. A conventional bead-and-spring model serving as the coarse-graining model is given by the Langevin…

Soft Condensed Matter · Physics 2022-01-12 Takuya Saito

Coupled length and time scales determine the dynamic behavior of polymers and underlie their unique viscoelastic properties. To resolve the long-time dynamics it is imperative to determine which time and length scales must be correctly…

Soft Condensed Matter · Physics 2016-02-16 K. Michael Salerno , Anupriya Agrawal , Dvora Perahia , Gary S. Grest

It has been established that the entangled polymer dynamics can be reasonably described by single chain models such as tube and slip-link models. Although the entanglement effect is a result of the hard-core interaction between chains,…

Soft Condensed Matter · Physics 2015-06-11 Takashi Uneyama , Yuichi Masubuchi

The Hamiltonian dynamics of chains of nonlinearly coupled particles is numerically investigated in two and three dimensions. Simple, off-lattice homopolymer models are used to represent the interparticle potentials. Time averages of…

Statistical Mechanics · Physics 2007-05-23 Alessandro Mossa , Marco Pettini , Cecilia Clementi

We study phenomenological scaling theories of the polymer dynamics in random media, employing the existing scaling theories of polymer chains and the percolation statistics. We investigate both the Rouse and the Zimm model for Brownian…

Soft Condensed Matter · Physics 2015-06-24 Bikas K. Chakrabarti , Amit K. Chattopadhyay , Amit Dutta