Citation: Yi Ye, Han Qin, Ming Tian, Jian-Guo Mi. Diffusion Mode Transition between Gaussian and Non-Gaussian of Nanoparticles in Polymer Solutions[J]. Chinese Journal of Polymer Science, ;2019, 37(7): 719-728. doi: 10.1007/s10118-019-2237-9 shu

Diffusion Mode Transition between Gaussian and Non-Gaussian of Nanoparticles in Polymer Solutions

Yi Ye ^a,b ,
Han Qin ^a,b ,
Ming Tian ^a,b,, ,
Jian-Guo Mi ^a,,

a.
State Key Laboratory of Organic-Inorganic Composites, Beijing University of Chemical Technology, Beijing 100029, China
b.
Key Laboratory of Beijing City on Preparation and Processing of Novel Polymer Materials, Beijing University of Chemical Technology, Beijing 100029, China

Corresponding author: Ming Tian, tianm@mail.buct.edu.cn Jian-Guo Mi, mijg@mail.buct.edu.cn
Received Date: 24 December 2018
Revised Date: 27 January 2019
Available Online: 12 March 2019

The dynamic density functional theory is applied to study the diffusion of nanoparticles in polymer solutions, in which different diffusion modes have been identified by exploiting the density and free energy evolutions. Under the condition of low polymer concentration, diffusion is controlled by particle free motion with a normal Gaussian type. As the concentration increases, the non-Gaussian behavior can be observed when the particle size is comparable to the correlation length of polymer chain. Particles need to penetrate through a cage and overcome an entropic barrier, where the hopping and the model-coupling diffusion coexist. Further increase of polymer concentration can result in complete restriction of the particle by surrounding polymer segments. In this case, the non-Gaussian process fades away, and particle diffusion is controlled by Rouse dynamics of polymer chains with the generalized Gaussian characteristics.
- Nanoparticle,
- Polymer solution,
- Diffusion modes,
- Driving force,
- Dynamic density functional theory
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