Chinese Journal of Polymer Science

, Volume 37, Issue 7, pp 719–728 | Cite as

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

  • Yi Ye
  • Han Qin
  • Ming TianEmail author
  • Jian-Guo MiEmail author


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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This work was financially supported by the National Natural Science Foundation of China (Nos. 51790502 and 51525301), the National Supercomputer Centre in Guangzhou, and Chemcloudcomputing of Beijing University of Chemical Technology.


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Copyright information

© Chinese Chemical Society Institute of Chemistry, Chinese Academy of Sciences Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.State Key Laboratory of Organic-Inorganic CompositesBeijing University of Chemical TechnologyBeijingChina
  2. 2.Key Laboratory of Beijing City on Preparation and Processing of Novel Polymer MaterialsBeijing University of Chemical TechnologyBeijingChina

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