Time-averaged mean squared displacement ratio test for Gaussian processes with unknown diffusion coefficient

2021 ◽  
Vol 31 (7) ◽  
pp. 073120
Author(s):  
Katarzyna Maraj ◽  
Dawid Szarek ◽  
Grzegorz Sikora ◽  
Agnieszka Wyłomańska
Keyword(s):  
Diffusion Coefficient ◽  
Gaussian Processes ◽  
Ratio Test ◽  
Displacement Ratio ◽  
Mean Squared Displacement ◽  
Unknown Diffusion Coefficient

scholarly journals 3D trajectories and diffusion of single ceria particles near a glass surface and their removal

2021 ◽  
Author(s):  
Jihoon Seo ◽  
Akshay Gowda ◽  
Panart Khajornrungruang ◽  
Satomi Hamada ◽  
S.V. Babu
Keyword(s):  
Diffusion Coefficient ◽  
Diffusion Coefficients ◽  
Glass Surface ◽  
Evanescent Wave ◽  
Three Dimensional ◽  
Separation Distance ◽  
Dimensional Diffusion ◽  
Mean Squared Displacement ◽  
Glass Surfaces ◽  
And Diffusion

AbstractWe extend our recent 2D trajectory (x–y plane) and diffusion coefficient data of ceria particles near a glass surface obtained at pH 3, 5, and 7 using evanescent wave microscopy and video imaging to 3D trajectories by analyzing the separation distance between the particles and the glass surface in the vertical z‐direction. Mean squared displacement (MSD3D) of ceria particles was calculated to quantify 3D trajectories. Three‐dimensional diffusion coefficients were obtained from the MSD3D curves and were compared with two‐dimensional diffusion coefficients. By analyzing the MSD curves, we found that ceria particles exhibited only confined motion at pH 3 and 5, while both confined and Brownian motion were showed at pH 7. We also evaluated the cleaning ability of DI water adjusted to pH 10 and 12 to remove ceria particles from glass surfaces and related the results to the calculated trajectory, diffusion coefficient, and interaction potential data.

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