# 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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