3D hydrodynamic interactions lead to divergences in 2D diffusion

被引:18
作者
Bleibel, Johannes [1 ,2 ]
Dominguez, Alvaro [3 ]
Oettel, Martin [1 ]
机构
[1] Univ Tubingen, Inst Angew Phys, D-72076 Tubingen, Germany
[2] Max Planck Inst Intelligente Syst, D-70569 Stuttgart, Germany
[3] Univ Seville, Fis Teor, E-41080 Seville, Spain
关键词
hydrodynamic interactions; colloids; confinement; collective diffusion; anomalous diffusion; LIGHT-SCATTERING; BROWNIAN-MOTION; SEDIMENTATION; SUSPENSIONS; TRANSPORT; DIMENSIONS; SPHERES;
D O I
10.1088/0953-8984/27/19/194113
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
We investigate the influence of 3D hydrodynamic interactions on confined colloidal suspensions, where only the colloids are restricted to one or two dimensions. In the absence of static interactions among the colloids, i.e., an ideal gas of colloidal particles with a finite hydrodynamic radius, we find a divergent collective diffusion coefficient. The origin of the divergence is traced back to the dimensional mismatch of 3D hydrodynamic interactions and the colloidal particles moving only in 1D or 2D. Our results from theory are confirmed by Stokesian dynamics simulations and supported by light scattering observational data for particles at a fluid interface.
引用
收藏
页数:11
相关论文
共 30 条
[1]   Short-time transport properties in dense suspensions:: From neutral to charge-stabilized colloidal spheres [J].
Banchio, Adolfo J. ;
Naegele, Gerhard .
JOURNAL OF CHEMICAL PHYSICS, 2008, 128 (10)
[2]   SEDIMENTATION IN A DILUTE DISPERSION OF SPHERES [J].
BATCHELOR, GK .
JOURNAL OF FLUID MECHANICS, 1972, 52 (MAR28) :245-+
[3]   BROWNIAN DIFFUSION OF PARTICLES WITH HYDRODYNAMIC INTERACTION [J].
BATCHELOR, GK .
JOURNAL OF FLUID MECHANICS, 1976, 74 (MAR9) :1-29
[4]   DIFFUSION OF SPHERES IN A CONCENTRATED SUSPENSION .2. [J].
BEENAKKER, CWJ ;
MAZUR, P .
PHYSICA A, 1984, 126 (03) :349-370
[5]  
Binks B. P, 2006, COLLOIDAL PARTICLES, P298, DOI [10.1017/CBO9780511536670.009, DOI 10.1017/CBO9780511536670.009]
[6]   Hydrodynamic interactions induce anomalous diffusion under partial confinement [J].
Bleibel, J. ;
Dominguez, A. ;
Gunther, F. ;
Harting, J. ;
Oettel, M. .
SOFT MATTER, 2014, 10 (17) :2945-2948
[7]   DYNAMIC SIMULATION OF HYDRODYNAMICALLY INTERACTING SUSPENSIONS [J].
BRADY, JF ;
PHILLIPS, RJ ;
LESTER, JC ;
BOSSIS, G .
JOURNAL OF FLUID MECHANICS, 1988, 195 :257-280
[8]  
Dhont JKG., 1996, INTRO DYNAMICS COLLO
[9]   Three-Dimensional to Two-Dimensional Crossover in the Hydrodynamic Interactions between Micron-Scale Rods [J].
Di Leonardo, R. ;
Cammarota, E. ;
Bolognesi, G. ;
Schaefer, H. ;
Steinhart, M. .
PHYSICAL REVIEW LETTERS, 2011, 107 (04)
[10]  
Dominguez A, 2015, ARXIV14102865CONDMAT