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We perform large scale three-dimensional molecular dynamics simulations of unlinked and unknotted ring polymers diffusing through a background gel, here a three-dimensional cubic lattice. Taking advantage of this architecture, we propose a…

Soft Condensed Matter · Physics 2014-07-01 D. Michieletto , D. Marenduzzo , E. Orlandini , G. P. Alexander , M. S. Turner

We study of the dynamics of ring polymers confined to diffuse in a background gel at low concentrations. We do this in order to probe the inter-play between topology and dynamics in ring polymers. We develop an algorithm that takes into…

Soft Condensed Matter · Physics 2014-08-22 Davide Michieletto , Davide Marenduzzo , Enzo Orlandini , Gareth P. Alexander , Matthew S. Turner

Molecular dynamics simulations were conducted to investigate the dynamic properties of melts of nonconcatenated ring polymers and compared to melts of linear polymers. The longest rings were composed of N=1600 monomers per chain which…

Soft Condensed Matter · Physics 2011-05-02 Jonathan D. Halverson , Won Bo Lee , Gary S. Grest , Alexander Y. Grosberg , Kurt Kremer

Ring polymers remain a major challenge to our current understanding of polymer dynamics. Experimental results are difficult to interpret because of the uncertainty in the purity and dispersity of the sample. Using both equilibrium and…

Soft Condensed Matter · Physics 2015-06-03 Jonathan D. Halverson , Gary S. Grest , Alexander Y. Grosberg , Kurt Kremer

Current theories on the conformation and dynamics of unknotted and non-concatenated ring polymers in melt conditions describe each ring as a tree-like double-folded object. While evidence from simulations supports this picture on a single…

Soft Condensed Matter · Physics 2022-12-02 Mattia Alberto Ubertini , Jan Smrek , Angelo Rosa

Using extensive molecular dynamics simulations, we investigate the slowing down of dynamics in a 3D system of ring polymers by varying the ambient pressure and the stiffness of the rings. Our study demonstrates that the stiffness of the…

Soft Condensed Matter · Physics 2022-03-07 Projesh Kumar Roy , Pinaki Chaudhuri , Satyavani Vemparala

Elucidating the physics of a concentrated suspension of ring polymers, or of an ensemble of ring polymers in a complex environment, is an important outstanding question in polymer physics. Many of the characteristic features of these…

Soft Condensed Matter · Physics 2017-08-09 Davide Michieletto , Enzo Orlandini , Davide Marenduzzo , Matthew S. Turner

We study structural properties of a ring polymeric melt confined in a film in comparison to a linear counterpart using molecular dynamics simulations. Local structure orderings of ring and linear polymers in the vicinity of the surface are…

Soft Condensed Matter · Physics 2015-10-21 Eunsang Lee , YounJoon Jung

The size of rings (also called cyclic polymers) in bidisperse blends of chemically identical rings is analyzed by computer simulations. Data of entangled ring blends and blends of interpenetrating rings are compared and it is shown that the…

Soft Condensed Matter · Physics 2021-03-31 Michael Lang

The effect of ring stiffness and pressure on the glassy dynamics of a thermal assembly of two-dimensional ring polymers is investigated using extensive coarse-grained molecular dynamics simulations. In all cases, dynamical slowing down is…

Soft Condensed Matter · Physics 2023-06-06 Sayantan Ghosh , Satyavani Vemparala , Pinaki Chaudhuri

In this paper, we employ Molecular Dynamics computer simulations to study and compare the statics and dynamics of linear and circular (ring) polymer chains in entangled solutions of different densities. While we confirm that linear chain…

Soft Condensed Matter · Physics 2016-02-17 Negar Nahali , Angelo Rosa

Ring polymers are an intriguing class of polymers with unique physical properties, and understanding their behavior is important for developing accurate theoretical models. In this study, we investigate the effect of chain stiffness and…

Soft Condensed Matter · Physics 2023-08-24 Shota Goto , Kang Kim , Nobuyuki Matubayasi

Unconcatenated, unknotted polymer rings in the melt are subject to strong interactions with neighboring chains due to the presence of topological constraints. We study this by computer simulation using the bond-fluctuation algorithm for…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , J. P. Wittmer , M. E. Cates

Molecular dynamics simulations were conducted to investigate the structural properties of melts of nonconcatenated ring polymers and compared to melts of linear polymers. The longest rings were composed of N=1600 monomers per chain which…

Soft Condensed Matter · Physics 2011-05-02 Jonathan D. Halverson , Won Bo Lee , Gary S. Grest , Alexander Y. Grosberg , Kurt Kremer

Diffusive transport of small molecules within the internal structures of biological and synthetic material systems is complex because the crowded environment presents chemical and physical barriers to mobility. We explored this mobility…

Soft Condensed Matter · Physics 2020-09-29 Rajarshi Guha , Subhadip Ghosh , Darrell Velegol , Peter J. Butler , Ayusman Sen , Jennifer L. Ross

The effects of entanglement in solutions and melts of unknotted ring polymers have been addressed by several theoretical and numerical studies. The system properties have been typically profiled as a function of ring contour length at fixed…

Soft Condensed Matter · Physics 2011-11-29 Angelo Rosa , Enzo Orlandini , Luca Tubiana , Cristian Micheletti

The diffusion of small molecular penetrants through polymeric materials represents an important fundamental problem, relevant to the design of materials for applications such as coatings and membranes. Polymer networks hold promise in these…

Soft Condensed Matter · Physics 2023-07-07 Tsai-Wei Lin , Baicheng Mei , Kenneth S. Schweizer , Charles E. Sing

The relationship between polymer topology and bulk rheology remains a key question in soft matter physics. Architecture-specific constraints (or threadings) are thought to control the dynamics of ring polymers in ring-linear blends, which…

Soft Condensed Matter · Physics 2020-05-04 Angelo Rosa , Jan Smrek , Matthew S Turner , Davide Michieletto

Soft glassy materials often consist of deformable objects. Here, we use a two-dimensional assembly of semi-flexible ring polymers as a model system to investigate how polydispersity in particle stiffness or size influences the onset of…

Soft Condensed Matter · Physics 2025-09-25 Rahul Nayak , Pinaki Chaudhuri , Satyavani Vemparala

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
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