Calculation of displacement correlation tensor indicating vortical cooperative motion in two-dimensional colloidal liquids.

@article{Ooshida2016CalculationOD,
  title={Calculation of displacement correlation tensor indicating vortical cooperative motion in two-dimensional colloidal liquids.},
  author={Takeshi Ooshida and Susumu Goto and Takeshi Matsumoto and Michio Otsuki},
  journal={Physical review. E},
  year={2016},
  volume={94 2-1},
  pages={
          022125
        }
}
As an indicator of cooperative motion in a system of Brownian particles that models two-dimensional colloidal liquids, a displacement correlation tensor is calculated analytically and compared with numerical results. The key idea for the analytical calculation is to relate the displacement correlation tensor, which is a kind of four-point space-time correlation, to the Lagrangian two-time correlation of the deformation gradient tensor. Tensorial treatment of the statistical quantities… 
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