Research Progress on Diffusion Dynamics of Ellipsoidal Particles
- Corresponding author: LU Yuyuan, yylu@ciac.ac.cn
Citation:
WANG Liang, LU Yuyuan, AN Lijia. Research Progress on Diffusion Dynamics of Ellipsoidal Particles[J]. Chinese Journal of Applied Chemistry,
;2017, 34(11): 1250-1258.
doi:
10.11944/j.issn.1000-0518.2017.11.170329
Brown R. The Miscellaneous Botanical Works of Robert Brown[M]. 27. Ray Society, 1866.
Sacanna S, Pine D J. Shape-Anisotropic Colloids:Building Blocks for Complex Assemblies[J]. Curr Opin Colloid Interface Sci, 2011,16(2):96-105. doi: 10.1016/j.cocis.2011.01.003
Lee K J, Yoon J, Lahann J. Recent Advances with Anisotropic Particles[J]. Curr Opin Colloid Interface Sci, 2011,16(3):195-202. doi: 10.1016/j.cocis.2010.11.004
Frey E, Kroy K. Brownian Motion:A Paradigm of Soft Matter and Biological Physics[J]. Ann Phys-Berlin, 2005,14(1/2/3):20-50.
Li X, Vlahovska P M, Karniadakis G E. Continuum-and Particle-Based Modeling of Shapes and Dynamics of Red Blood Cells in Health and Disease[J]. Soft Matter, 2013,9(1):28-37. doi: 10.1039/C2SM26891D
Delsaulx J. Thermo-Dynamic Origin of the Brownian Motions[J]. J Microsc, 1877,18(1):1-7.
Einstein A. The Motion of Elements Suspended in Static Liquids as Claimed in the Molecular Kinetic Theory of Heat[J]. Ann Phys-Berlin, 1905,17(8):549-560.
Einstein A. Theoretical Remarks on the Brownian Motion[J]. Z Elektrochem Angew Phys Chem, 1907,13:41-42. doi: 10.1002/bbpc.v13:6
von Smoluchowski M. zur Kinetischen Theorie der Brownschen Molekularbewegung und der Suspensionen[J]. Ann Phys-Berlin, 1906,326(14):756-780. doi: 10.1002/(ISSN)1521-3889
Langevin P. The Theory of Brownian Movement[J]. C R Hebd Seances Acad Sci, 1908,146:530-533.
Perrin J. Brownian Motion and Molecular Reality[J]. Ann Chim Phys, 1909,18:5-114.
Schmidt J R, Skinner J L. Hydrodynamic Boundary Conditions, the Stokes-Einstein Law, and Long-Time Tails in the Brownian Limit[J]. J Chem Phys, 2003,119(15):8062-8068. doi: 10.1063/1.1610442
Bian X, Kim C, Karniadakis G E. 111 Years of Brownian Motion[J]. Soft Matter, 2016,12(30):6331-6346. doi: 10.1039/C6SM01153E
Zwanzig R, Harrison A K. Modifications of the Stokes-Einstein Formula[J]. J Chem Phys, 1985,83(11):5861-5862. doi: 10.1063/1.449616
Thorneywork A L, Aarts D, Horbach J. Self-Diffusion in Two-Dimensional Binary Colloidal Hard-Sphere Fluids[J]. Phys Rev E, 2017,95(1)012614. doi: 10.1103/PhysRevE.95.012614
Sharma M, Yashonath S. Breakdown of the Stokes-Einstein Relationship:Role of Interactions in the Size Dependence of Self-Diffusivity[J]. J Phys Chem B, 2006,110(34):17207-17211. doi: 10.1021/jp064364a
Ileri N, Faller R, Palazoglu A. Molecular Transport of Proteins through Nanoporous Membranes Fabricated by Interferometric Lithography[J]. Phys Chem Chem Phys, 2013,15(3):965-971. doi: 10.1039/C2CP43400H
Krushelnitsky A. Intermolecular Electrostatic Interactions and Brownian Tumbling in Protein Solutions[J]. Phys Chem Chem Phys, 2006,8(18):2117-2128. doi: 10.1039/b517448a
Adamczyk Z, Cichocki B, Ekiel-Jezewska M L. Fibrinogen Conformations and Charge in Electrolyte Solutions Derived from DLS and Dynamic Viscosity Measurements[J]. J Colloid Interface Sci, 2012,385(1):244-257. doi: 10.1016/j.jcis.2012.07.010
Winkler R G. Conformational and Rheological Properties of Semiflexible Polymers in Shear Flow[J]. J Chem Phys, 2010,133(16)164905. doi: 10.1063/1.3497642
Kantsler V, Goldstein R E. Fluctuations, Dynamics, and the Stretch-Coil Transition of Single Actin Filaments in Extensional Flows[J]. Phys Rev Lett, 2012,108(3)038103. doi: 10.1103/PhysRevLett.108.038103
Bereolos P, Talbot J, Allen M P. Transport-Properties of the Hard Ellipsoid Fluid[J]. J Chem Phys, 1993,99(8):6087-6097. doi: 10.1063/1.466221
Han Y, Alsayed A M, Nobili M. Brownian Motion of an Ellipsoid[J]. Science, 2006,314(5799):626-630. doi: 10.1126/science.1130146
Peng Y, Lai L P, Tai Y S. Diffusion of Ellipsoids in Bacterial Suspensions[J]. Phys Rev Lett, 2016,116(6)068303. doi: 10.1103/PhysRevLett.116.068303
Yang O, Peng Y, Liu Z Y. Dynamics of Ellipsoidal Tracers in Swimming Algal Suspensions[J]. Phys Rev E, 2016,94(4)042601. doi: 10.1103/PhysRevE.94.042601
Marino R, Eichhorn R, Aurell E. Entropy Production of a Brownian Ellipsoid in the Overdamped Limit[J]. Phys Rev E, 2016,93(1)012132. doi: 10.1103/PhysRevE.93.012132
Deng M G, Pan W X, Karniadakis G E. Anisotropic Single-Particle Dissipative Particle Dynamics Model[J]. J Comput Phys, 2017,336:481-491. doi: 10.1016/j.jcp.2017.01.033
Perrin F. The Brownien Movement of an Ellipsoid-The Dielectric Dispersion of Ellipsoidal Molecules[J]. J Phys Radium, 1934,5:497-511. doi: 10.1051/jphysrad:01934005010049700
Perrin F. Brownian Movement of an Ellipsoid (Ⅱ)-Free Rotation and Depolarisation of Fluourescences.-Translation and Diffusion of Ellipsoidal Molecules[J]. J Phys Radium, 1936,7:1-11. doi: 10.1051/jphysrad:01936007010100
Oberbeck A. Ueber Stationäre Flüssigkeitsbewegungen mit Berücksichtigung der Inneren Reibung[J]. J Reine Angew Math, 1876,81:62-80.
Edwardes D. The Strain in an Infinite Elastic Solid with an Ellipsoidal Cavity, due to Certain Surface Displacements[J]. Quart J Pure Appl Math, 1893,26:260-278.
Han Y, Alsayed A, Nobili M. Quasi-Two-Dimensional Diffusion of Single Ellipsoids:Aspect Ratio and Confinement Effects[J]. Phys Rev E, 2009,80(1)011403.
Happel J, Brenner H. Low Reynolds Number Hydrodynamics:With Special Applications to Particulate Media[M]. 1.Springer Science & Business Media, 2012.
Boniello G, Stocco A, Gross M. Translational Viscous Drags of an Ellipsoid Straddling an Interface Between Two Fluids[J]. Phys Rev E, 2016,94(1)012602. doi: 10.1103/PhysRevE.94.012602
Zheng Z Y, Han Y L. Self-Diffusion in Two-Dimensional Hard Ellipsoid Suspensions[J]. J Chem Phys, 2010,133(12)124509. doi: 10.1063/1.3490669
Spiess H W, Schweitzer D, Haeberlen U. Spin-Rotation Interaction and Anisotropic Chemical Shift in 13CS2[J]. J Magn Reson(1969), 1971,5(1):101-108.
Hu C M, Zwanzig R. Rotational Friction Coefficients for Spheroids with Slipping Boundary-Condition[J]. J Chem Phys, 1974,60(11):4354-4357. doi: 10.1063/1.1680910
Tang S A, Evans G T. A Critique of Slip and Stick Hydrodynamics for Ellipsoidal Bodies[J]. Mol Phys, 1993,80(6):1443-1457. doi: 10.1080/00268979300103131
Mazur P, Bedeaux D. A Generalization of Faxén's Theorem to Nonsteady Motion of a Sphere Through an Incompressible Fluid in Arbitrary Flow[J]. Physica, 1974,76(2):235-246. doi: 10.1016/0031-8914(74)90197-9
Albano A, Bedeaux D, Mazur P. On the Motion of a Sphere with Arbitrary Slip in a Viscous Incompressible Fluid[J]. Physica A, 1975,80(1):89-97. doi: 10.1016/0378-4371(75)90148-X
DoiM, Edwards S F. The Theory of Polymer Dynamics[M]. 73. Oxford University Press, 1988.
Vasanthi R, Ravichandran S, Bagchi B. Needlelike Motion of Prolate Ellipsoids in the Sea of Spheres[J]. J Chem Phys, 2001,114(18):7989-7992. doi: 10.1063/1.1363674
Vasanthi R, Bhattacharyya S, Bagchi B. Anisotropic Diffusion of Spheroids in Liquids:Slow Orientational Relaxation of the Oblates[J]. J Chem Phys, 2002,116(3):1092-1096. doi: 10.1063/1.1428343
Chapman S, Cowling T G. The Mathematical Theory of Non-uniform Gases:An Account of the Kinetic Theory of Viscosity, Thermal Conduction and Diffusion in Gases[M]. Cambridge University Press, 1970.
Grima R, Yaliraki S N. Brownian Motion of an Asymmetrical Particle in a Potential Field[J]. J Chem Phys, 2007,127(8)084511. doi: 10.1063/1.2759485
Fernandes M X, De La Torre J G. Brownian Dynamics Simulation of Rigid Particles of Arbitrary Shape in External Fields[J]. Biophys J, 2002,83(6):3039-3048. doi: 10.1016/S0006-3495(02)75309-5
Aurell E, Bo S, Dias M. Diffusion of a Brownian Ellipsoid in a Force Field[J]. Europhys Lett, 2016,114(3)30005. doi: 10.1209/0295-5075/114/30005
Brenner H. Taylor Dispersion in Systems of Sedimenting Nonspherical Brownian Particles.2.Homogeneous Ellipsoidal Particles[J]. J Colloid Interface Sci, 1981,80(2):548-588. doi: 10.1016/0021-9797(81)90214-9
Ould-Kaddour F, Levesque D. Molecular-Dynamics Investigation of Tracer Diffusion in a Simple Liquid:Test of the Stokes-Einstein Law[J]. Phys Rev E, 2001,63(1)011205.
Bhattacharyya S, Bagchi B. Anomalous Diffusion of Small Particles in Dense Liquids[J]. J Chem Phys, 1997,106(5):1757-1763. doi: 10.1063/1.473316
Li Z G. Critical Particle Size Where the Stokes-Einstein Relation Breaks Down[J]. Phys Rev E, 2009,80(6)061204. doi: 10.1103/PhysRevE.80.061204
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