Relaxation dynamics of generalized scale-free polymer networks

Jurjiu, Aurel; Júnior, Deuticilam Gomes Maia; Galiceanu, Mircea

doi:10.1038/s41598-018-21968-9

Cited by 10 publications

(9 citation statements)

References 78 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Heteropolymeric structures with different monomers or segments of polymers attached to the nanoparticles follow complex multiscale polymer dynamics. Dynamics of this class of complex systems can not be modeled by the traditional approach of single scale generalized Gaussian structure (GGS). ,,− ,− , The dynamics of such complex systems demands the incorporation of the multiscale polymeric structural components in the theory. Therefore, the bead–spring model of the generalized Gaussian structure with unequal bead size and spring constants can address such problems for the dynamics of the multiscale generalized Gaussian structure (mGGS).…”

Section: Multiscale Langevin Matrix Approachmentioning

confidence: 99%

Theory for the Dynamics of Polymer Grafted Nanoparticle in Solution

2019

View full text Add to dashboard Cite

We develop a theory for the dynamics of polymer grafted nanoparticles (PGNP) in a dilute solution. A formalism of multiscale generalized Gaussian structure (mGGS) is developed where the multiscale nature is described as a variable size of monomers connected to each other through harmonic springs with different spring constants. This formalism allows for the study of various dynamic properties of polymer chains or networks grafted nanoparticles at arbitrary positions. We analyze three dynamic properties of PGNP, viz. (i) the mean displacement of a specified monomer of the polymer chain and its time evolution under external (unit step) forces, (ii) loss and storage moduli, and (iii) intrinsic viscosity. The study highlights the unfolding dynamics of a polymer chain with different sizes of nanoparticles and shows that the chain dynamics depends on the position of applied step force in PGNP. Similarly, the elastic moduli and the intrinsic viscosity reflects the viscoelastic properties of PGNP. The storage and the loss moduli of PGNP show anomalous enhancement with temporal slow down in low and intermediate frequency regimes. The increase in the size and the number fraction of nanoparticles in the polymer chain suppresses the power-law exponent in the intermediate frequency regime. The transition frequency between solid-and liquidlike viscoelastic region decreases with an increase in the size and the number fraction of NPs in PGNP. The intrinsic viscosity and the radius of gyration increase with increasing the size of a nanoparticle grafted on the polymer chain. Finally, we conclude that the viscoelastic properties of PGNP are altered by tuning their molecular architectures.

show abstract

Section: Multiscale Langevin Matrix Approachmentioning

confidence: 99%

Theory for the Dynamics of Polymer Grafted Nanoparticle in Solution

2019

View full text Add to dashboard Cite

show abstract

“…d), with d being the average diameter of a layer, on the transport. Our chosen generalized scale-free network model [83,92] is a mixture of linear and starlike segments, with their topology being controlled by the exponent γ of the power-law degree distribution. Low values of γ provide networks with a predominant starlike topology, while for large γ-values we encounter networks with longer linear chains.…”

Section: Introductionmentioning

confidence: 99%

Quantum transport on multilayer generalized scale-free networks

Galiceanu,

Strunz

2024

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

We study single-particle quantum transport on multilayer generalized scale-free networks using the continuous-time quantum walk model. Our focus is directed at the average return probability and its long-time average value as measures for the transport eﬃciency. In the continuous-time model these quantities are completely determined by all the eigenvalues and eigenvectors of the connectivity matrix. For all multilayer networks a nontrivial interplay between good spreading and localization eﬀects is observed. The spreading is enhanced by increasing the number of layers L or the power-law exponent γ of the degree distribution. For our choice of the parameters, namely L (1 ≤ L ≤ 50) or γ (1 ≤ γ ≤ 4), the quantum eﬃciency is increased by at least one order of magnitude. The topological transition between networks without loops, which corresponds to a single scale-free network layer (L = 1), and networks with loops (L = 2) is the most impactful. Another important change occurs when L gets higher than the average diameter d of the layers, namely a new scaling behavior for random walks and lower ﬂuctuations around the long-time average value for quantum walks. The quantum transport is more sensitive to changes of the minimum allowed degree, Kmin, than to the maximum allowed degree, Kmax. The same quantum eﬃciency is found by varying at least one of the parameters: L, γ, Kmin, or Kmax, although the network’s topology is diﬀerent. The quantum eﬃciency of all multilayer scale-free networks shows a universal behavior for any size of the layers, more precise, is inversely proportional to the number of layers.

show abstract

“…For example, the polymer networks with a power law distribution of functionalities of junction points (corresponding to the so-called scale-free networks) have been constructed and analyzed recently in Refs. [39,40].…”

Section: Introductionmentioning

confidence: 99%

“…Starting from the set of polymer units with given distribution of chemical functionalities, the formation of polymer network with known properties results. For example, the polymer networks with a power law distribution of functionalities of junction points (corresponding to the so-called scale-free networks) have been constructed and analyzed recently in references [40,41].…”

Section: Introductionmentioning

confidence: 99%

Shape analysis of random polymer networks

Blavatska

Haydukivska

Holovatch

2020

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

We analyze conformational properties of branched polymer structures, formed on the base of Erdös-Rényi random graph model. We consider networks with N = 5 vertices and variable parameter c, that controls graph connectedness. The universal rotationally invariant size and shape characteristics, such as averaged asphericity A 3 and size ratio g of such structures are obtained both numerically by application of Wei's method and analytically within the continuous chain model. In particular, our results quantitatively indicate an increase of asymmetry of polymer network structure when its connectedness c decreases.

show abstract

Relaxation dynamics of generalized scale-free polymer networks

Cited by 10 publications

References 78 publications

Theory for the Dynamics of Polymer Grafted Nanoparticle in Solution

Theory for the Dynamics of Polymer Grafted Nanoparticle in Solution

Quantum transport on multilayer generalized scale-free networks

Shape analysis of random polymer networks

Contact Info

Product

Resources

About