Dynamics of networks in a viscoelastic and active environment,Soft Matter

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Dynamics of networks in a viscoelastic and active environment
Soft Matter ( IF 2.9 ) Pub Date : 2018-01-08 00:00:00 , DOI: 10.1039/c7sm02050c
Jonas Grimm _{1,

2,

3,

4} , Maxim Dolgushev _{1,

2,

3,

4,

5}

Affiliation

We investigate the dynamics of fractals and other networks in a viscoelastic and active environment. The viscoelastic dynamics is modeled based on the generalized Langevin equation, where the activity is introduced to it by means of the exponentially correlated noise. The intramolecular interactions are taken into account by the bead–spring picture. The microscopic connectivity (studied in the form of Vicsek fractals, of dual Sierpiński gaskets, of NT_D trees, and of a family of deterministic small-world networks) reveals itself in the multiscale monomeric dynamics, which shows vastly different behaviors in the active and passive baths. In particular, the dynamics under active forces leads to a swelling that is characterized through power laws which are not present in the passive case. In all cases, the dynamics reflects the broad scaling behavior of the density of states and not necessarily the maximal relaxation time of the structures in a passive bath, as it is exemplified on the NT_D trees.

中文翻译：

粘弹性和活动环境中的网络动力学

我们研究了在粘弹性和活跃环境中分形和其他网络的动力学。粘弹性动力学是基于广义Langevin方程建模的，在该方程中，活动是通过指数相关的噪声引入的。珠春图片考虑了分子内的相互作用。微观连通性（在Vicsek分形的形式的研究，双重的Sierpinski垫片，NT的_d树木以及一系列确定性小世界网络）在多尺度单体动力学中得以展示，这在主动浴池和被动浴池中表现出截然不同的行为。特别地，在主动力下的动力学导致膨胀，该膨胀通过被动定律中不存在的幂定律来表征。在所有情况下，动力学都反映了状态密度的广泛缩放行为，而不一定反映了被动浴中结构的最大弛豫时间，这在NT _D树上得到了体现。

更新日期：2018-01-08

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