Research Progress on Diffusion Dynamics of Ellipsoidal Particles

doi:10.11944/j.issn.1000-0518.2017.11.170329

Chinese Journal of Applied Chemistry ›› 2017, Vol. 34 ›› Issue (11): 1250-1258.DOI: 10.11944/j.issn.1000-0518.2017.11.170329

• Review • Previous Articles Next Articles

Research Progress on Diffusion Dynamics of Ellipsoidal Particles

WANG Liang^a^b,LU Yuyuan^a^*(),AN Lijia^a

^aState Key Laboratory of Polymer Physics and Chemistry,Changchun Institute of Applied Chemistry,Chinese Academy of Sciences,Changchun 130022,China
^bUniversity of Chinese Academy of Sciences,Beijing 100049,China

Received:2017-09-11 Accepted:2017-10-06 Published:2017-11-08 Online:2017-11-08
Contact: LU Yuyuan
Supported by:
Supported by the National Natural Science Foundation of China (Nos.21674113,21474109);the International Partnership Program of CAS(No.121522KYSB20160015) and the Research Program of Frontier Sciences, CAS (No.QYZDY-SSW-SLH027)

Abstract

Abstract:

As one of the important anisotropic particles, ellipsoidal particles have widespread range of applications in biology, chemical engineering and materials. Further research on the diffusion dynamics of ellipsoidal particles not only contributes to our understanding of the diffusion dynamics of anisotropic particles, but also provides theoretical guidance for the design of materials containing anisotropic particles. Therefore, the diffusion dynamics of ellipsoidal particles has been a research focus in the diffusion of particles over 100 years and extensive theoretical, experimental and simulation studies have been conducted. Although significant progress has been made, systemic reviews on this field are rarely published up to now. In this review, we summarize the diffusion dynamics of ellipsoidal particles, including the relationship between size and diffusion properties of ellipsoidal particles under different hydrodynamic boundary conditions and the coupling effect of translational and rotational motion. Furthermore, we analyze the existing problems in this field and discuss the research trends briefly.

Key words: ellipsoidal particle, anisotropy, translational diffusion, rotational diffusion

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.

References

[1]	Brown R.The Miscellaneous Botanical Works of Robert Brown[M]. 27. Ray Society,1866.
[2]	Sacanna S,Pine D J.Shape-Anisotropic Colloids:Building Blocks for Complex Assemblies[J]. Curr Opin Colloid Interface Sci,2011,16(2):96-105.
[3]	Lee K J,Yoon J,Lahann J.Recent Advances with Anisotropic Particles[J]. Curr Opin Colloid Interface Sci,2011,16(3):195-202.
[4]	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.
[5]	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.
[6]	Delsaulx J. Thermo-Dynamic Origin of the Brownian Motions[J]. J Microsc,1877,18(1):1-7.
[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(in Germany).
[8]	Einstein A.Theoretical Remarks on the Brownian Motion[J]. Z Elektrochem Angew Phys Chem,1907,13:41-42(in Germany).
[9]	von Smoluchowski M. zur Kinetischen Theorie der Brownschen Molekularbewegung und der Suspensionen[J]. Ann Phys-Berlin,1906,326(14):756-780(in Germany).
[10]	Langevin P.The Theory of Brownian Movement[J]. C R Hebd Seances Acad Sci,1908,146:530-533(in French).
[11]	Perrin J.Brownian Motion and Molecular Reality[J]. Ann Chim Phys,1909,18:5-114(in French).
[12]	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.
[13]	Bian X,Kim C,Karniadakis G E.111 Years of Brownian Motion[J]. Soft Matter,2016,12(30):6331-6346.
[14]	Zwanzig R,Harrison A K.Modifications of the Stokes-Einstein Formula[J]. J Chem Phys,1985,83(11):5861-5862.
[15]	Thorneywork A L,Aarts D,Horbach J,et al.Self-Diffusion in Two-Dimensional Binary Colloidal Hard-Sphere Fluids[J]. Phys Rev E,2017,95(1):012614.
[16]	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.
[17]	Ileri N,Faller R,Palazoglu A,et al.Molecular Transport of Proteins through Nanoporous Membranes Fabricated by Interferometric Lithography[J]. Phys Chem Chem Phys,2013,15(3):965-971.
[18]	Krushelnitsky A.Intermolecular Electrostatic Interactions and Brownian Tumbling in Protein Solutions[J]. Phys Chem Chem Phys,2006,8(18):2117-2128.
[19]	Adamczyk Z,Cichocki B,Ekiel-Jezewska M L,et al. Fibrinogen Conformations and Charge in Electrolyte Solutions Derived from DLS and Dynamic Viscosity Measurements[J]. J Colloid Interface Sci,2012,385(1):244-257.
[20]	Winkler R G.Conformational and Rheological Properties of Semiflexible Polymers in Shear Flow[J]. J Chem Phys,2010,133(16):164905.
[21]	Kantsler V,Goldstein R E. Fluctuations, Dynamics,the Stretch-Coil Transition of Single Actin Filaments in Extensional Flows[J]. Phys Rev Lett,2012,108(3):038103.
[22]	Bereolos P,Talbot J,Allen M P,et al.Transport-Properties of the Hard Ellipsoid Fluid[J]. J Chem Phys,1993,99(8):6087-6097.
[23]	Han Y,Alsayed A M,Nobili M,et al.Brownian Motion of an Ellipsoid[J]. Science,2006,314(5799):626-630.
[24]	Peng Y,Lai L P,Tai Y S,et al.Diffusion of Ellipsoids in Bacterial Suspensions[J]. Phys Rev Lett,2016,116(6):068303.
[25]	Yang O,Peng Y,Liu Z Y,et al.Dynamics of Ellipsoidal Tracers in Swimming Algal Suspensions[J]. Phys Rev E,2016,94(4):042601.
[26]	Marino R,Eichhorn R,Aurell E.Entropy Production of a Brownian Ellipsoid in the Overdamped Limit[J]. Phys Rev E,2016,93(1):012132.
[27]	Deng M G,Pan W X,Karniadakis G E.Anisotropic Single-Particle Dissipative Particle Dynamics Model[J]. J Comput Phys,2017,336:481-491.
[28]	Perrin F.The Brownien Movement of an Ellipsoid—The Dielectric Dispersion of Ellipsoidal Molecules[J]. J Phys Radium,1934,5:497-511(in French).
[29]	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(in French).
[30]	Oberbeck A. Ueber Stationäre Flüssigkeitsbewegungen mit Berücksichtigung der Inneren Reibung[J]. J Reine Angew Math,1876,81:62-80(in Germany).
[31]	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.
[32]	Han Y,Alsayed A,Nobili M,et al.Quasi-Two-Dimensional Diffusion of Single Ellipsoids:Aspect Ratio and Confinement Effects[J]. Phys Rev E,2009,80(1):011403.
[33]	Happel J,Brenner H.Low Reynolds Number Hydrodynamics:With Special Applications to Particulate Media[M]. 1.Springer Science & Business Media,2012.
[34]	Boniello G,Stocco A,Gross M,et al.Translational Viscous Drags of an Ellipsoid Straddling an Interface Between Two Fluids[J]. Phys Rev E,2016,94(1):012602.
[35]	Zheng Z Y,Han Y L.Self-Diffusion in Two-Dimensional Hard Ellipsoid Suspensions[J]. J Chem Phys,2010,133(12):124509.
[36]	Spiess H W,Schweitzer D,Haeberlen U,et al.Spin-Rotation Interaction and Anisotropic Chemical Shift in 13CS2[J]. J Magn Reson(1969),1971,5(1):101-108.
[37]	Hu C M,Zwanzig R.Rotational Friction Coefficients for Spheroids with Slipping Boundary-Condition[J]. J Chem Phys,1974,60(11):4354-4357.
[38]	Tang S A,Evans G T.A Critique of Slip and Stick Hydrodynamics for Ellipsoidal Bodies[J]. Mol Phys,1993,80(6):1443-1457.
[39]	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.
[40]	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.
[41]	Doi M,Edwards S F.The Theory of Polymer Dynamics[M]. 73. Oxford University Press,1988.
[42]	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.
[43]	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.
[44]	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.
[45]	Grima R,Yaliraki S N.Brownian Motion of an Asymmetrical Particle in a Potential Field[J]. J Chem Phys,2007,127(8):084511.
[46]	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.
[47]	Aurell E,Bo S,Dias M,et al.Diffusion of a Brownian Ellipsoid in a Force Field[J]. Europhys Lett,2016,114(3):30005.
[48]	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.
[49]	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.
[50]	Bhattacharyya S,Bagchi B.Anomalous Diffusion of Small Particles in Dense Liquids[J]. J Chem Phys,1997,106(5):1757-1763.
[51]	Li Z G.Critical Particle Size Where the Stokes-Einstein Relation Breaks Down[J]. Phys Rev E,2009,80(6): 061204.

Research Progress on Diffusion Dynamics of Ellipsoidal Particles

RichHTML

PDF

Knowledge

Cited

Abstract

Cite this article

share this article

References

Related Articles 4

Recommended Articles

Metrics

Comments

[1]	Hui LI, Zhen-Hua ZHU, Chen ZHAO, Jin-Kui TANG. Air‑stable High Performance Macrocyclic Dysprosium（Ⅲ） Single‑Ion Magnet [J]. Chinese Journal of Applied Chemistry, 2022, 39(10): 1586-1592.
[2]	KONG Qian, LIN Yuan, SU Zhao-Hui. Construction of Silk Fibroin/Virus Anisotropic Scaffold and Its Application in Nerve Repair [J]. Chinese Journal of Applied Chemistry, 2021, 38(11): 1454-1461.
[3]	SONG Kuanguang, LI Jian, GAO Chao, HU Minggang, AN Zhongwei. Synthesis and Properties of Liquid Crystals with 3,3,3-Trifluoropropynyl Terminal Group [J]. Chinese Journal of Applied Chemistry, 2017, 34(6): 676-684.
[4]	MO Lingchao, LI Jian, GUO Zhaoqi, LI Juanli, HU Minggang, AN Zhongwei. Synthesis and Properties of Novel Liquid Crystal Compounds Containing Pyridine Ring [J]. Chinese Journal of Applied Chemistry, 2016, 33(5): 542-548.