A unified framework for non-Brownian suspension flows and soft amorphous solids

Proceedings of the National Academy of Sciences of the United States of America

Volumn 109, Issue 13, 2012, Pages 4798-4803

  Lerner, Edan ^a   Düring, Gustavo ^a   Wyart, Matthieu ^a  

^a POLYTECHNIC UNIVERSITY   (United States)

Author keywords

Granular flows; Jamming; Rheology; Viscoelasticity

Indexed keywords

SOLVENT;

AMORPHOUS SOLID; ARTICLE; COMPUTER PROGRAM; DENSITY; FLOW; FLOW KINETICS; GEOMETRY; MATHEMATICAL MODEL; MICROSCOPY; PARTICLE SIZE; PRESSURE; PRIORITY JOURNAL; SOLID; SUSPENSION;

EID: 84859454655     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1120215109     Document Type: Article

References (37)

1. Batchelor GK (1977) Effect of Brownian motion on the bulk stress in a suspension of spherical particles. J Fluid Mech 83:97-117.
2. Olsson P, Teitel S (2007) Critical scaling of shear viscosity at the jamming transition. Phys Rev Lett 99:178001.
3. Nordstrom KN, et al. (2010) Microfluidic rheology of soft colloids above and below jamming. Phys Rev Lett 105:175701.
4. Brown E, Jaeger HM (2009) Dynamic jamming point for shear thickening suspensions. Phys Rev Lett 103:086001.
5. Durian D (1995) Foam mechanics at the bubble scale. Phys Rev Lett 75:4780.
6. Boyer F, Guazzelli É, Pouliquen O (2011) Unifying suspension and granular rheology. Phys Rev Lett 107:188301.
7. Heussinger C, Berthier L, Barrat J-L (2010) Superdiffusive, heterogeneous, and collective particle motion near the fluid-solid transition in athermal disordered materials. Eur Phys Lett 90:20005.
8. Tighe BP,Woldhuis E, Remmers JJC, van SaarloosW, van Hecke M(2010) Model for the scaling of stresses and fluctuations in flows near jamming. Phys Rev Lett 105:088303.
9. Pouliquen O (2004) Velocity correlations indense granular flows. Phys Rev Lett 93 (24):248001.
10. Lespiat R, Cohen-Addad S, Höhler R (2011) Jamming and flow of random-close- packed spherical bubbles: An analogy with granular materials. Phys Rev Lett 106:148302.
11. Daerr A, Douady S (1999) Two types of a valanche behaviour in granular media. Nature 399:241-243. (Pubitemid 29246448)
12. Jop P, Pouliquen O, Forterre Y (2006) A constitutive law for dense granular flows. Nature 441:727-730. (Pubitemid 43865214)
13. Berthier L, et al. (2005) Direct experimental evidence of a growing length scale accompanying the glass transition. Science 310:1797-1800. (Pubitemid 41818947)
14. O'Hern CS, Silbert LE, Liu AJ, Nagel SR (2003) Jamming at zero temperature and zero applied stress: The epitome of disorder. Phys Rev E 68:101136.
15. Wyart M, Nagel SR, Witten TA (2005) Geometric origin of excess low-frequency vibrational modes in amorphous solids. Eur Phys Lett 72:486.
16. Wyart M (2010) Scaling of phononic transport with connectivity in amorphous solids. Eur Phys Lett 89:64001.
17. Silbert LE, Liu AJ, Nagel SR (2005) Vibrations and diverging length scales near the unjamming transition. Phys Rev Lett 95:098301.
18. Ellenbroek WG, Somfai E, van Hecke M, van Saarloos W (2006) Critical scaling in linear response of frictionless granular packings near jamming. Phys Rev Lett 97:258001.
19. Mao X, Xu N, Lubensky TC (2010) Soft modes and elasticity of nearly isostatic lattices: Randomness and dissipation. Phys Rev Lett 104:085504.
20. van SaarloosW, Wyart M, Liu AJ, Nagel SR (2010) The Jamming Scenario: An Introduction and Outlook (Oxford Univ Press, Oxford, UK), Chapter 9.
21. Xu N, Vitelli V, Wyart M, Liu AJ, Nagel SR (2009) Energy transport in jammed sphere packings. Phys Rev Lett 102:038001.
22. Wyart M, Liang H, Kabla A, Mahadevan L (2008) Elasticity of floppy and stiff random networks. Phys Rev Lett 101:215501.
23. Maxwell JC (1864) On the calculation of the equilibrium and stiffness of frames. Phil Mag 27:294-299.
24. Anderson AC (1981) Amorphous Solids, Low Temperature Properties (Springer, Berlin).
25. Wyart M, Silbert LE, Nagel SR, Witten TA (2005) Effects of compression on the vibrational modes of marginally jammed solids. Phys Rev E 72:051306.
26. Storm C, Pastore JJ, MacKintosh FC, Lubensky TC, Janmey PA (2005) Nonlinear elasticity in biological gels. Nature 435:191-194.
27. Peyneau P-E (2009) Etude du comportement et du compactage de pates granulaires par simulation numerique discrete [Study of the behavior and compaction of granular pastes by discrete numerical simulations]. These de doctorat, in French (Ecole Nationale des Ponts et Chaussees).
28. Lemaitre A, Roux J-N, Chevoir F (2009) What do dry granular flows tell us about dense non-Brownian suspension rheology? Rheologica acta 48:925-942.
29. Lerner E, Düring G, Wyart M (2011) Event-driven simulation of a simple model for dense suspension flow. arXiv:1111.7225.
30. Olsson P, Teitel S (2011) Critical scaling of shearing rheology at the jamming transition of soft-core frictionless disks. Phys Rev E 83:030302(R).
31. Hatano T (2008) Scaling properties of granular rheology near the jamming transition. J Phys Soc Jap 77:123002.
32. Heussinger C, Barrat J-L (2009) Jamming transition asprobed by quasistatic shear flow. Phys Rev Lett 102:218303.
33. Tighe BP (2011) Relaxations and rheology near jamming. Phys Rev Lett 107:158303.
34. Garboczi EJ, Thorpe MF (1985) Effective-medium theory of percolation on central-force elastic networks II. Further results. Phys Rev B 31:7276-7281.
35. Vagberg D, Valdez-Balderas D, Moore MA, Olsson P, Teitel S (2011) Finite-size-scaling at the jamming transition: Corrections to scaling and the correlation length critical exponent. Phys Rev E 83:30303.
36. Allen MP, Tildesley DJ (1991) Computer Simulations of Liquids (Oxford Univ Press, New York).
37. Ball RC, Melrose JR (1995) Lubrication breakdown in hydrodynamic simulations of concentrated colloids. Adv Colloid Interface Sci 59:19-30.