1932

Abstract

Dense suspensions of particles are relevant to many applications and are a key platform for developing a fundamental physics of out-of-equilibrium systems. They present challenging flow properties, apparently turning from liquid to solid upon small changes in composition or, intriguingly, in the driving forces applied to them. The emergent physics close to the ubiquitous jamming transition (and to some extent the glass and gelation transitions) provides common principles with which to achieve a consistent interpretation of a vast set of phenomena reported in the literature. In light of this, we review the current state of understanding regarding the relation between the physics at the particle scale and the rheology at the macroscopic scale. We further show how this perspective opens new avenues for the development of continuum models for dense suspensions.

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2022-03-10
2024-03-29
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Literature Cited

  1. 1. 
    Einstein A 1911. Ann. Phys. 339:3591–92
  2. 2. 
    Batchelor GK 1970. J. Fluid Mech. 41:3545–70
  3. 3. 
    Fuchs M, Cates ME 2002. Phys. Rev. Lett. 89:24248304
  4. 4. 
    Boyer F, Guazzelli É, Pouliquen O 2011. Phys. Rev. Lett. 107:18188301
  5. 5. 
    Mewis J, Wagner NJ 2012. Colloidal Suspension Rheology Cambridge, UK: Cambridge Univ. Press
  6. 6. 
    Guazzelli É, Pouliquen O 2018. J. Fluid Mech. 852:P1
  7. 7. 
    Morris JF 2020. Annu. Rev. Fluid Mech. 52:121–44
  8. 8. 
    Denn MM, Morris JF 2014. Annu. Rev. Chem. Biomol. Eng. 5:1203–28
  9. 9. 
    Zhou J, Dupuy B, Bertozzi AL, Hosoi AE 2005. Phys. Rev. Lett. 94(11):117803. https://doi.org/10.1103/PhysRevLett.94.117803
    [Crossref]
  10. 10. 
    Fusier J, Goyon J, Chateau X, Toussaint F 2018. J. Rheol. 62:3753–71
  11. 11. 
    Bossis G, Boustingorry P, Grasselli Y, Meunier A, Morini R et al. 2017. Rheol. Acta 56:5415–30
  12. 12. 
    Israelachvili JN 2011. Intermolecular and Surface Forces New York: Academic
  13. 13. 
    Cates ME, Wittmer JP, Bouchaud JP, Claudin P 1998. Phys. Rev. Lett. 81:1841–44
  14. 14. 
    Seto R, Mari R, Morris JF, Denn MM 2013. Phys. Rev. Lett. 111:21218301
  15. 15. 
    Fernandez N, Mani R, Rinaldi D, Kadau D, Mosquet M et al. 2013. Phys. Rev. Lett. 111:10108301
  16. 16. 
    Comtet J, Chatté G, Niguès A, Bocquet L, Siria A, Colin A 2017. Nat. Commun. 8:15633
  17. 17. 
    Johnson KL 1985. Contact Mechanics Cambridge/New York: Cambridge Univ. Press
  18. 18. 
    Chatté G, Comtet J, Niguès A, Bocquet L, Siria A et al. 2018. Soft Matter 14:6879–93
  19. 19. 
    Lobry L, Lemaire E, Blanc F, Gallier S, Peters F 2019. J. Fluid Mech. 860:682–710
  20. 20. 
    Nagahiro Si, Nakanishi H 2016. Phys. Rev. E 94:062614
  21. 21. 
    Maiti M, Heussinger C 2014. Phys. Rev. E 89:5052308
  22. 22. 
    Berthier L, Biroli G 2011. Rev. Mod. Phys. 83:2587–645
  23. 23. 
    Zaccarelli E 2007. J. Phys. Condens. Matter 19:32323101
  24. 24. 
    Liu AJ, Nagel SR 1998. Nature 396:670621–22
  25. 25. 
    Liu AJ, Nagel SR 2010. Annu. Rev. Condens. Matter Phys. 1:347–69
  26. 26. 
    Torquato S, Truskett TM, Debenedetti PG 2000. Phys. Rev. Lett. 84:102064–67
  27. 27. 
    Santos AP, Bolintineanu DS, Grest GS, Lechman JB, Plimpton SJ et al. 2020. Phys. Rev. E 102:3032903
  28. 28. 
    Donev A, Cisse I, Sachs D, Variano EA, Stillinger FH et al. 2004. Science 303:5660990–93
  29. 29. 
    Hsiao LC, Jamali S, Glynos E, Green PF, Larson RG, Solomon MJ 2017. Phys. Rev. Lett. 119:15158001
  30. 30. 
    Shapiro AP, Probstein RF 1992. Phys. Rev. Lett. 68:91422–25
  31. 31. 
    Hopkins AB, Stillinger FH, Torquato S 2013. Phys. Rev. E 88:2022205
  32. 32. 
    Alexander S 1998. Phys. Rep. 296:2–465–236
  33. 33. 
    Maxwell JC 1864. Lond. Edinb. Dublin Philos. Mag. J. Sci. 27:182294–99
  34. 34. 
    Shundyak K, van Hecke M, van Saarloos W 2007. Phys. Rev. E 75:1010301
  35. 35. 
    Liu AJ, Nagel SR, van Saarloos W, Wyart M. 2011. Dynamical Heterogeneities in Glasses, Colloids, and Granular Media L Berthier, G Biroli, J-P Bouchaud, L Cipeletti, W van Saarloos 298–340 Oxford/New York: Oxford Univ. Press
  36. 36. 
    DeGiuli E, Düring G, Lerner E, Wyart M 2015. Phys. Rev. E 91:6062206
  37. 37. 
    Olsson P, Teitel S 2007. Phys. Rev. Lett. 99:17178001
  38. 38. 
    Heussinger C, Barrat JL 2009. Phys. Rev. Lett. 102:21218303
  39. 39. 
    Andreotti B, Barrat JL, Heussinger C 2012. Phys. Rev. Lett. 109:10105901
  40. 40. 
    Heussinger C 2013. Phys. Rev. E 88:5050201
  41. 41. 
    Düring G, Lerner E, Wyart M 2014. Phys. Rev. E 89:2022305
  42. 42. 
    Pusey PN, Van Megen W 1986. Nature 320:6060340–42
  43. 43. 
    Ikeda A, Berthier L, Sollich P 2012. Phys. Rev. Lett. 109:1018301
  44. 44. 
    Hunter GL, Weeks ER 2012. Rep. Prog. Phys. 75:6066501
  45. 45. 
    Trappe V, Prasad V, Cipelletti L, Segre PN, Weitz DA 2001. Nature 411:6839772–75
  46. 46. 
    Larson RG 1999. The Structure and Rheology of Complex Fluids New York/Oxford: Oxford Univ. Press
  47. 47. 
    Koeze DJ, Tighe BP 2018. Phys. Rev. Lett. 121:18188002
  48. 48. 
    Coussot P 2016. Rheophysics: Matter in All Its States Cham, Switz.: Springer
  49. 49. 
    Maxey M 2017. Annu. Rev. Fluid Mech. 49:171–93
  50. 50. 
    Krieger IM 1963. Trans. Soc. Rheol. 7:1101–9
  51. 51. 
    Giusteri GG, Seto R 2018. J. Rheol. 62:3713–23
  52. 52. 
    Ovarlez G, Bertrand F, Rodts S 2006. J. Rheol. 50:3259–92
  53. 53. 
    Ness C, Sun J 2015. Phys. Rev. E 91:1012201
  54. 54. 
    Zarraga IE, Hill DA, Leighton DT 2000. J. Rheol. 44:2185–220
  55. 55. 
    Gallier S, Lemaire E, Lobry L, Peters F 2014. J. Comput. Phys. 256:367–87
  56. 56. 
    Trulsson M, DeGiuli E, Wyart M 2017. Phys. Rev. E 95:1012605
  57. 57. 
    Lerner E, Düring G, Wyart M 2012. PNAS 109:134798–803
  58. 58. 
    Tapia F, Shaikh S, Butler JE, Pouliquen O, Guazzelli E 2017. J. Fluid Mech. 827:R5
  59. 59. 
    da Cruz F, Emam S, Prochnow M, Roux J-N, Chevoir F 2005. Phys. Rev. E 72:2021309
  60. 60. 
    Chèvremont W, Chareyre B, Bodiguel H 2019. Phys. Rev. Fluids 4:6064302
  61. 61. 
    Cwalina CD, Wagner NJ 2014. J. Rheol. 58:4949–67
  62. 62. 
    Richards JA, O'Neill RE, Poon WCK 2021. Rheol. Acta 60:97–106
  63. 63. 
    Brown E, Forman NA, Orellana CS, Zhang H, Maynor BW et al. 2010. Nat. Mater. 9:3220–24
  64. 64. 
    Gadala-Maria F, Acrivos A 1980. J. Rheol. 24:6799–814
  65. 65. 
    Leighton D, Acrivos A 1987. J. Fluid Mech. 177:109–31
  66. 66. 
    Parsi F, Gadala-Maria F 1987. J. Rheol. 31:8725–32
  67. 67. 
    Brady JF, Morris JF 1997. J. Fluid Mech. 348:103–39
  68. 68. 
    Seto R, Giusteri GG 2018. J. Fluid Mech. 857:200–15
  69. 69. 
    Han E, Wyart M, Peters IR, Jaeger HM 2018. Phys. Rev. Fluids 3:7073301
  70. 70. 
    Blanc F, Lemaire E, Peters F 2014. J. Fluid Mech. 746:R4
  71. 71. 
    Seto R, Singh A, Chakraborty B, Denn MM, Morris JF 2019. Granul. Matter 21:382
  72. 72. 
    Pine DJ, Gollub JP, Brady JF, Leshansky AM 2005. Nature 438:7070997–1000
  73. 73. 
    Tjhung E, Berthier L 2015. Phys. Rev. Lett. 114:14148301
  74. 74. 
    Bagnold RA 1954. Proc. R. Soc. Lond. Ser. A. Math. Phys. Sci. 225:116049–63
  75. 75. 
    Savage SB, Mckeown S 1983. J. Fluid Mech. 127:453–72
  76. 76. 
    Madraki Y, Oakley A, Nguyen Le A, Colin A, Ovarlez G, Hormozi S 2020. J. Rheol. 64:2227–38
  77. 77. 
    Verberg R, Koch DL 2006. Phys. Fluids 18:8083303
  78. 78. 
    Kulkarni PM, Morris JF 2008. Phys. Fluids 20:4040602
  79. 79. 
    Trulsson M, Andreotti B, Claudin P 2012. Phys. Rev. Lett. 109:11118305
  80. 80. 
    Jop P, Forterre Y, Pouliquen O 2006. Nature 441:7094727–30
  81. 81. 
    Lemaître A, Roux JN, Chevoir F 2009. Rheol. Acta 48:8925–42
  82. 82. 
    Otsuki M, Hayakawa H 2009. Prog. Theor. Phys. 121:3647–55
  83. 83. 
    Otsuki M, Hayakawa H 2011. Phys. Rev. E 83:5051301
  84. 84. 
    Vågberg D, Olsson P, Teitel S 2016. Phys. Rev. E 93:5052902
  85. 85. 
    Fall A, Lemaitre A, Bertrand F, Bonn D, Ovarlez G 2010. Phys. Rev. Lett. 105:26268303
  86. 86. 
    Batchelor GK 1977. J. Fluid Mech. 83:197–117
  87. 87. 
    Foss DR, Brady JF 2000. J. Fluid Mech. 407:167–200
  88. 88. 
    Woods ME, Krieger IM 1970. J. Colloid Interface Sci. 34:191–99
  89. 89. 
    de Kruif CG, van Iersel EMF, Vrij A, Russel WB 1985. J. Chem. Phys. 83:94717–25
  90. 90. 
    Trulsson M, Bouzid M, Kurchan J, Clément E, Claudin P, Andreotti B 2015. Europhys. Lett. 111:118001
  91. 91. 
    Wyart M, Cates M 2014. Phys. Rev. Lett. 112:9098302
  92. 92. 
    Ness C, Sun J 2016. Soft Matter 12:3914–24
  93. 93. 
    Guy BM, Hermes M, Poon WCK 2015. Phys. Rev. Lett. 115:8088304
  94. 94. 
    Lin NY, Guy BM, Hermes M, Ness C, Sun J et al. 2015. Phys. Rev. Lett. 115:22228304
  95. 95. 
    Rathee V, Blair DL, Urbach JS 2017. PNAS 114:338740–45
  96. 96. 
    Fall A, Bertrand F, Ovarlez G, Bonn D 2009. Phys. Rev. Lett. 103:17178301
  97. 97. 
    Hermes M, Guy BM, Poon WC, Poy G, Cates ME, Wyart M 2016. J. Rheol. 60:5905–16
  98. 98. 
    Chacko RN, Mari R, Cates ME, Fielding SM 2018. Phys. Rev. Lett. 121:10108003
  99. 99. 
    Maranzano BJ, Wagner NJ 2001. J. Rheol. 45:51205–22
  100. 100. 
    Rueb C, Zukoski C 1997. J. Rheol. 41:2197–218
  101. 101. 
    Cross MM 1965. J. Colloid Sci. 20:5417–37
  102. 102. 
    Woutersen ATJM, de Kruif C 1991. J. Chem. Phys. 94:85739–50
  103. 103. 
    Rueb C, Zukoski C 1998. J. Rheol. 42:61451–76
  104. 104. 
    Roussel N, Lemaître A, Flatt RJ, Coussot P 2010. Cement Concrete Res. 40:177–84
  105. 105. 
    Guery J, Bertrand E, Rouzeau C, Levitz P, Weitz D, Bibette J 2006. Phys. Rev. Lett. 96:19198301
  106. 106. 
    Snabre P, Mills P 1996. J. Phys. III 6:121811–34
  107. 107. 
    Chaouche M, Koch DL 2001. J. Rheol. 45:2369–82
  108. 108. 
    Zhou JZ, Uhlherr PH, Luo FT 1995. Rheol. Acta 34:6544–61
  109. 109. 
    Kurokawa A, Vidal V, Kurita K, Divoux T, Manneville S 2015. Soft Matter 11:469026–37
  110. 110. 
    Park N, Rathee V, Blair DL, Conrad JC 2019. Phys. Rev. Lett. 122:22228003
  111. 111. 
    Richards JA, Guy BM, Blanco E, Hermes M, Poy G, Poon WCK 2020. J. Rheol. 64:2405–12
  112. 112. 
    Guy BM, Richards JA, Hodgson DJM, Blanco E, Poon WCK 2018. Phys. Rev. Lett. 121:12128001
  113. 113. 
    Wildemuth C, Williams M 1984. Rheol. Acta 23:6627–35
  114. 114. 
    Pednekar S, Chun J, Morris JF 2017. Soft Matter 13:91773–79
  115. 115. 
    Singh A, Pednekar S, Chun J, Denn MM, Morris JF 2019. Phys. Rev. Lett. 122:9098004
  116. 116. 
    Laun HM 1984. Die Angew. Makromol. Chem.: Appl. Macromol. Chem. Phys. 123:1335–59
  117. 117. 
    Gopalakrishnan V, Zukoski C 2004. J. Rheol. 48:61321–44
  118. 118. 
    Guy BM, Ness C, Hermes M, Sawiak LJ, Sun J, Poon WCK 2019. Soft Matter 16:1229–37
  119. 119. 
    Bouzid M, Izzet A, Trulsson M, Clément E, Claudin P, Andreotti B 2015. Eur. Phys. J. E 38:11125
  120. 120. 
    Kamrin K, Koval G 2012. Phys. Rev. Lett. 108:17178301
  121. 121. 
    Hand GL 1962. J. Fluid Mech. 13:0133–46
  122. 122. 
    Phan-Thien N, Mai-Duy N 2017. Understanding Viscoelasticity: An Introduction to Rheology Graduate Texts in Physics. Cham, Switz.: Springer Int. Publ. AG
  123. 123. 
    Goddard J 2006. J. Fluid Mech. 568:1–17
  124. 124. 
    Chacko RN, Mari R, Fielding SM, Cates ME 2018. J. Fluid Mech. 847:700–34
  125. 125. 
    Ozenda O, Saramito P, Chambon G 2018. J. Rheol. 62:4889–903
  126. 126. 
    Hinch EJ, Leal LG 1976. J. Fluid Mech. 76:1187–208
  127. 127. 
    Phan-Thien N 1995. J. Rheol. 39:4679–95
  128. 128. 
    Gillissen JJJ, Ness C, Peterson JD, Wilson HJ, Cates ME 2019. Phys. Rev. Lett. 123:21214504
  129. 129. 
    Szeri AJ, Leal LG 1994. J. Fluid Mech. 262:171–204
  130. 130. 
    Stickel JJ, Phillips RJ, Powell RL 2007. J. Rheol. 51:61271–302
  131. 131. 
    Ozenda O, Saramito P, Chambon G 2020. J. Fluid Mech. 898:A25
  132. 132. 
    Gillissen JJJ, Wilson HJ 2018. Phys. Rev. E 98:3033119
  133. 133. 
    Carreau PJ 1972. Trans. Soc. Rheol. 16:199–127
  134. 134. 
    Royer JR, Blair DL, Hudson SD 2016. Phys. Rev. Lett. 116:18188301
  135. 135. 
    Nakanishi H, Nagahiro Si, Mitarai N 2012. Phys. Rev. E 85:1011401
  136. 136. 
    Singh A, Mari R, Denn MM, Morris JF 2018. J. Rheol. 62:2457–68
  137. 137. 
    Baumgarten AS, Kamrin K 2019. PNAS 116:4220828–36
  138. 138. 
    Dong J, Trulsson M 2017. Phys. Rev. Fluids 2:8081301
  139. 139. 
    Mari R, Seto R 2019. Soft Matter 15:336650–59
  140. 140. 
    Jackson R 1997. Chem. Eng. Sci. 52:152457–69
  141. 141. 
    Deboeuf A, Gauthier G, Martin J, Yurkovetsky Y, Morris JF 2009. Phys. Rev. Lett. 102:10108301
  142. 142. 
    Dbouk T, Lemaire E, Lobry L, Moukalled F 2013. J. Non-Newtonian Fluid Mech. 198:78–95
  143. 143. 
    Nott PR, Brady JF 1994. J. Fluid Mech. 275:157–99
  144. 144. 
    Nott PR, Guazzelli E, Pouliquen O 2011. Phys. Fluids 23:4043304
  145. 145. 
    Gillissen JJJ, Ness C 2020. Phys. Rev. Lett. 125:18184503
  146. 146. 
    Besseling R, Isa L, Ballesta P, Petekidis G, Cates ME, Poon WCK 2010. Phys. Rev. Lett. 105:26268301
  147. 147. 
    Saint-Michel B, Gibaud T, Manneville S 2018. Phys. Rev. X 8:3031006
  148. 148. 
    Ovarlez G, Le AVN, Smit WJ, Fall A, Mari R et al. 2020. Sci. Adv. 6:16eaay5589
  149. 149. 
    Rathee V, Blair DL, Urbach JS 2020. J. Rheol. 64:2299–308
  150. 150. 
    Leighton D, Acrivos A 1987. J. Fluid Mech. 181:415–39
  151. 151. 
    Altobelli SA, Givler RC, Fukushima E 1991. J. Rheol. 35:5721–34
  152. 152. 
    Medhi BJ, Reddy MM, Singh A 2019. Adv. Powder Technol. 30:91897–909
  153. 153. 
    Balmforth N, Bush J, Craster R 2005. Phys. Lett. A 338:6479–84
  154. 154. 
    Darbois Texier B, Lhuissier H, Forterre Y, Metzger B 2020. Commun. Phys. 3:232
  155. 155. 
    Brown E, Jaeger HM 2012. J. Rheol. 56:4875–923
  156. 156. 
    Tang H, Grivas W, Homentcovschi D, Geer J, Singler T 2000. Phys. Rev. Lett. 85:102112
  157. 157. 
    Eriksen JA, Toussaint R, Måløy KJ, Flekkøy E, Galland O, Sandnes B 2018. Phys. Rev. Fluids 3:1013801
  158. 158. 
    Iveson SM, Litster JD, Hapgood K, Ennis BJ 2001. Powder Technol. 117:13–39
  159. 159. 
    Cates ME, Wyart M 2014. Rheol. Acta 53:755–64
  160. 160. 
    Dagois-Bohy S, Hormozi S, Guazzelli É, Pouliquen O 2015. J. Fluid Mech. 776:R2
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