Dynamics of comb-of-comb-network polymers in random layered flows

Katyal, Divya ; Kant, Rama (2016) Dynamics of comb-of-comb-network polymers in random layered flows Physical Review E: covering statistical, nonlinear, biological, and soft matter physics, 94 (6). Article ID 062503. ISSN 2470-0045

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Official URL: http://journals.aps.org/pre/abstract/10.1103/PhysR...

Related URL: http://dx.doi.org/10.1103/PhysRevE.94.062503

Abstract

We analyze the dynamics of comb-of-comb-network polymers in the presence of external random flows. The dynamics of such structures is evaluated through relevant physical quantities, viz., average square displacement (ASD) and the velocity autocorrelation function (VACF). We focus on comparing the dynamics of the comb-of-comb network with the linear polymer. The present work displays an anomalous diffusive behavior of this flexible network in the random layered flows. The effect of the polymer topology on the dynamics is analyzed by varying the number of generations and branch lengths in these networks. In addition, we investigate the influence of external flow on the dynamics by varying flow parameters, like the flow exponent α and flow strength Wα. Our analysis highlights two anomalous power-law regimes, viz., subdiffusive (intermediate-time polymer stretching and flow-induced diffusion) and superdiffusive (long-time flow-induced diffusion). The anomalous long-time dynamics is governed by the temporal exponent ν of ASD, viz., ν=2−α/2. Compared to a linear polymer, the comb-of-comb network shows a shorter crossover time (from the subdiffusive to superdiffusive regime) but a reduced magnitude of ASD. Our theory displays an anomalous VACF in the random layered flows that scales as t−α/2. We show that the network with greater total mass moves faster.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:102497
Deposited On:15 Jun 2017 10:15
Last Modified:15 Jun 2017 10:15

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