skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Analytical structure, dynamics, and coarse graining of a kinetic model of an active fluid


Not provided.

; ; ;
Publication Date:
Research Org.:
New York Univ. (NYU), NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
DOE Contract Number:  
Resource Type:
Journal Article
Journal Name:
Physical Review Fluids
Additional Journal Information:
Journal Volume: 2; Journal Issue: 9; Journal ID: ISSN 2469-990X
American Physical Society (APS)
Country of Publication:
United States

Citation Formats

Gao, Tong, Betterton, Meredith D., Jhang, An-Sheng, and Shelley, Michael J. Analytical structure, dynamics, and coarse graining of a kinetic model of an active fluid. United States: N. p., 2017. Web. doi:10.1103/physrevfluids.2.093302.
Gao, Tong, Betterton, Meredith D., Jhang, An-Sheng, & Shelley, Michael J. Analytical structure, dynamics, and coarse graining of a kinetic model of an active fluid. United States. doi:10.1103/physrevfluids.2.093302.
Gao, Tong, Betterton, Meredith D., Jhang, An-Sheng, and Shelley, Michael J. Fri . "Analytical structure, dynamics, and coarse graining of a kinetic model of an active fluid". United States. doi:10.1103/physrevfluids.2.093302.
title = {Analytical structure, dynamics, and coarse graining of a kinetic model of an active fluid},
author = {Gao, Tong and Betterton, Meredith D. and Jhang, An-Sheng and Shelley, Michael J.},
abstractNote = {Not provided.},
doi = {10.1103/physrevfluids.2.093302},
journal = {Physical Review Fluids},
issn = {2469-990X},
number = 9,
volume = 2,
place = {United States},
year = {2017},
month = {9}

Works referenced in this record:

The Mechanics and Statistics of Active Matter
journal, August 2010

Active suspensions and their nonlinear models
journal, June 2013

Self-Concentration and Large-Scale Coherence in Bacterial Dynamics
journal, August 2004

Collective motion and density fluctuations in bacterial colonies
journal, July 2010

  • Zhang, H. P.; Be'er, A.; Florin, E. - L.
  • Proceedings of the National Academy of Sciences, Vol. 107, Issue 31
  • DOI: 10.1073/pnas.1001651107

Living Crystals of Light-Activated Colloidal Surfers
journal, January 2013

Emergence of macroscopic directed motion in populations of motile colloids
journal, November 2013

  • Bricard, Antoine; Caussin, Jean-Baptiste; Desreumaux, Nicolas
  • Nature, Vol. 503, Issue 7474
  • DOI: 10.1038/nature12673

Spontaneous motion in hierarchically assembled active matter
journal, November 2012

  • Sanchez, Tim; Chen, Daniel T. N.; DeCamp, Stephen J.
  • Nature, Vol. 491, Issue 7424
  • DOI: 10.1038/nature11591

The Dynamics of Microtubule/Motor-Protein Assemblies in Biology and Physics
journal, January 2016

Transport and Collective Dynamics in Suspensions of Confined Swimming Particles
journal, November 2005

  • Hernandez-Ortiz, Juan P.; Stoltz, Christopher G.; Graham, Michael D.
  • Physical Review Letters, Vol. 95, Issue 20
  • DOI: 10.1103/PhysRevLett.95.204501

Orientational Order and Instabilities in Suspensions of Self-Locomoting Rods
journal, July 2007

Emergence of coherent structures and large-scale flows in motile suspensions
journal, August 2011

  • Saintillan, David; Shelley, Michael J.
  • Journal of The Royal Society Interface, Vol. 9, Issue 68
  • DOI: 10.1098/rsif.2011.0355

Collective Dynamics in a Binary Mixture of Hydrodynamically Coupled Microrotors
journal, May 2015

Large-scale simulation of steady and time-dependent active suspensions with the force-coupling method
journal, December 2015

  • Delmotte, Blaise; Keaveny, Eric E.; Plouraboué, Franck
  • Journal of Computational Physics, Vol. 302
  • DOI: 10.1016/

Statistical hydrodynamics of ordered suspensions of self-propelled particles: waves, giant number fluctuations and instabilities
journal, April 2002

Model for dynamical coherence in thin films of self-propelled microorganisms
journal, April 2007

Diffusion and Spatial Correlations in Suspensions of Swimming Particles
journal, June 2008

Instabilities and Pattern Formation in Active Particle Suspensions: Kinetic Theory and Continuum Simulations
journal, April 2008

Collective Swimming and the Dynamics of Bacterial Turbulence
journal, August 2008

Statistical mechanics and hydrodynamics of bacterial suspensions
journal, August 2009

  • Baskaran, Aparna; Marchetti, M. Cristina
  • Proceedings of the National Academy of Sciences, Vol. 106, Issue 37
  • DOI: 10.1073/pnas.0906586106

Critical bacterial concentration for the onset of collective swimming
journal, July 2009

Instabilities, pattern formation, and mixing in active suspensions
journal, December 2008

  • Saintillan, David; Shelley, Michael J.
  • Physics of Fluids, Vol. 20, Issue 12
  • DOI: 10.1063/1.3041776

Stability of active suspensions
journal, April 2010

Instabilities and nonlinear dynamics of concentrated active suspensions
journal, July 2013

  • Ezhilan, Barath; Shelley, Michael J.; Saintillan, David
  • Physics of Fluids, Vol. 25, Issue 7
  • DOI: 10.1063/1.4812822

Multiscale Polar Theory of Microtubule and Motor-Protein Assemblies
journal, January 2015

Multiscale modeling and simulation of microtubule–motor-protein assemblies
journal, December 2015

Spontaneous Circulation of Confined Active Suspensions
journal, October 2012

Transport of a dilute active suspension in pressure-driven channel flow
journal, July 2015

Geometric control of active collective motion
journal, January 2017

  • Theillard, Maxime; Alonso-Matilla, Roberto; Saintillan, David
  • Soft Matter, Vol. 13, Issue 2
  • DOI: 10.1039/C6SM01955B

Velocity Correlations in an Active Nematic
journal, September 2013

Defect Annihilation and Proliferation in Active Nematics
journal, May 2013

Geometry and Topology of Turbulence in Active Nematics
journal, July 2015

Bacterial cell division: assembly, maintenance and disassembly of the Z ring
journal, September 2009

  • Adams, David W.; Errington, Jeff
  • Nature Reviews Microbiology, Vol. 7, Issue 9
  • DOI: 10.1038/nrmicro2198

Viscous fingering in liquid crystals
journal, October 1987

The Stokesian hydrodynamics of flexing, stretching filaments
journal, November 2000

Topology and dynamics of active nematic vesicles
journal, September 2014

Catalytically driven assembly of trisegmented metallic nanorods and polystyrene tracer particles
journal, January 2016

  • Jewell, Erik L.; Wang, Wei; Mallouk, Thomas E.
  • Soft Matter, Vol. 12, Issue 9
  • DOI: 10.1039/C5SM03066H

Catalytic Nanomotors:  Autonomous Movement of Striped Nanorods
journal, October 2004

  • Paxton, Walter F.; Kistler, Kevin C.; Olmeda, Christine C.
  • Journal of the American Chemical Society, Vol. 126, Issue 41
  • DOI: 10.1021/ja047697z

Flow-induced nonequilibrium self-assembly in suspensions of stiff, apolar, active filaments
journal, January 2016

  • Pandey, Ankita; Sunil Kumar, P. B.; Adhikari, R.
  • Soft Matter, Vol. 12, Issue 44
  • DOI: 10.1039/C6SM02104B

An Antipodally Symmetric Distribution on the Sphere
journal, November 1974

A closure approximation for liquid-crystalline polymer models based on parametric density estimation
journal, January 1998

  • Chaubal, Charu V.; Leal, L. Gary
  • Journal of Rheology, Vol. 42, Issue 1
  • DOI: 10.1122/1.550887

Closure approximations for the Doi theory: Which to use in simulating complex flows of liquid-crystalline polymers?
journal, September 1998

  • Feng, J.; Chaubal, C. V.; Leal, L. G.
  • Journal of Rheology, Vol. 42, Issue 5
  • DOI: 10.1122/1.550920

Confinement Stabilizes a Bacterial Suspension into a Spiral Vortex
journal, June 2013

Ferromagnetic and antiferromagnetic order in bacterial vortex lattices
journal, January 2016

  • Wioland, Hugo; Woodhouse, Francis G.; Dunkel, Jörn
  • Nature Physics, Vol. 12, Issue 4
  • DOI: 10.1038/nphys3607

Transition from turbulent to coherent flows in confined three-dimensional active fluids
journal, March 2017

  • Wu, Kun-Ta; Hishamunda, Jean Bernard; Chen, Daniel T. N.
  • Science, Vol. 355, Issue 6331
  • DOI: 10.1126/science.aal1979

Density Shock Waves in Confined Microswimmers
journal, January 2016

Fluid flows created by swimming bacteria drive self-organization in confined suspensions
journal, June 2014

  • Lushi, Enkeleida; Wioland, Hugo; Goldstein, Raymond E.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 27
  • DOI: 10.1073/pnas.1405698111

Slender-body theory for slow viscous flow
journal, June 1976

The stress system in a suspension of force-free particles
journal, April 1970

From Microscopic Theory to Macroscopic Theory: a Systematic Study on Modeling for Liquid Crystals
journal, September 2014

  • Han, Jiequn; Luo, Yi; Wang, Wei
  • Archive for Rational Mechanics and Analysis, Vol. 215, Issue 3
  • DOI: 10.1007/s00205-014-0792-3

The Effects of Shape on the Interaction of Colloidal Particles
journal, May 1949

Excitable Patterns in Active Nematics
journal, May 2011

Nonparabolic dissipative systems modeling the flow of liquid crystals
journal, January 1995

  • Lin, Fang-Hua; Liu, Chun
  • Communications on Pure and Applied Mathematics, Vol. 48, Issue 5
  • DOI: 10.1002/cpa.3160480503

Boltzmann and hydrodynamic description for self-propelled particles
journal, August 2006

Mesoscopic theory for fluctuating active nematics
journal, August 2013

The Motion of Ellipsoidal Particles Immersed in a Viscous Fluid
journal, November 1922

  • Jeffery, G. B.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 102, Issue 715
  • DOI: 10.1098/rspa.1922.0078

Local well-posedness and small Deborah limit of a molecule-based $Q$-tensor system
journal, August 2015

  • Li, Sirui; Wang, Wei; Zhang, Pingwen
  • Discrete and Continuous Dynamical Systems - Series B, Vol. 20, Issue 8
  • DOI: 10.3934/dcdsb.2015.20.2611

Removing the stiffness from interfacial flows with surface tension
journal, October 1994

  • Hou, Thomas Y.; Lowengrub, John S.; Shelley, Michael J.
  • Journal of Computational Physics, Vol. 114, Issue 2
  • DOI: 10.1006/jcph.1994.1170

Deformation of elastic particles in viscous shear flow
journal, April 2009

Direct Numerical Simulations of Fluid–Solid Systems Using the Arbitrary Lagrangian–Eulerian Technique
journal, May 2001

  • Hu, Howard H.; Patankar, N. A.; Zhu, M. Y.
  • Journal of Computational Physics, Vol. 169, Issue 2
  • DOI: 10.1006/jcph.2000.6592

GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
journal, July 1986

  • Saad, Youcef; Schultz, Martin H.
  • SIAM Journal on Scientific and Statistical Computing, Vol. 7, Issue 3
  • DOI: 10.1137/0907058

Experimental study of ILU preconditioners for indefinite matrices
journal, December 1997

Complex Spontaneous Flows and Concentration Banding in Active Polar Films
journal, November 2008

Spontaneous flow transition in active polar gels
journal, May 2005

Physical Properties Determining Self-Organization of Motors and Microtubules
journal, May 2001

A Quantitative Analysis of Contractility in Active Cytoskeletal Protein Networks
journal, April 2008

Microtubule organization by the antagonistic mitotic motors kinesin-5 and kinesin-14
journal, May 2010

  • Hentrich, Christian; Surrey, Thomas
  • The Journal of Cell Biology, Vol. 189, Issue 3
  • DOI: 10.1083/jcb.200910125

Hierarchical self-organization of cytoskeletal active networks
journal, April 2012

Instabilities and topological defects in active nematics
journal, January 2014

  • Thampi, Sumesh P.; Golestanian, Ramin; Yeomans, Julia M.
  • EPL (Europhysics Letters), Vol. 105, Issue 1
  • DOI: 10.1209/0295-5075/105/18001

Swimmers in Thin Films: From Swarming to Hydrodynamic Instabilities
journal, December 2010

Active nematic materials with substrate friction
journal, December 2014

Collective Surfing of Chemically Active Particles
journal, March 2014