Multi-particle collision dynamics: A particle-based mesoscale simulation approach to the hydrodynamics of complex fluids

Advances in Polymer Science

Volumn 221, Issue 1, 2009, Pages 1-87

  Gompper, G ^a   Ihle, T ^b   Kroll, D M ^b   Winkler, R G ^b  

^a FORSCHUNGSZENTRUM JÜLICH   (Germany)

^b NORTH DAKOTA STATE UNIVERSITY   (United States)

Author keywords

Binary fluid mixtures; Colloids; Complex fluids; Hydrodynamics; Mesoscale simulation techniques; Microemulsions; Polymers; Red blood cells; Vesicles; Viscoelastic fluids

Indexed keywords

EID: 60749102237     PISSN: 00653195     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-87706-6_1     Document Type: Review

References (230)

1. P. J. Hoogerbrugge and J. M. V. A. Koelman, Europhys. Lett. 19, 155 (1992).
2. P. Espanol, Phys. Rev. E 52, 1734 (1995).
3. P. Espanol and P. B. Warren, Europhys. Lett. 30, 191 (1995).
4. G. R. McNamara and G. Zanetti, Phys. Rev. Lett. 61, 2332 (1988).
5. X. Shan and H. Chen, Phys. Rev. E 47, 1815 (1993).
6. X. He and L.-S. Luo, Phys. Rev. E 56, 6811 (1997).
7. G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows (Oxford University Press, Oxford, 1994).
8. F. J. Alexander and A. L. Garcia, Comp. in Phys. 11, 588 (1997).
9. A. L. Garcia, Numerical Methods for Physics (Prentice Hall, 2000).
10. U. Frisch, B. Hasslacher, and Y. Pomeau, Phys. Rev. Lett. 56, 1505 (1986).
11. R. Adhikari, K. Stratford, M. E. Cates, and A. J. Wagner, Europhys. Lett. 71, 473 (2005).
12. J. K. G. Dhont, An Introduction to Dynamics of Colloids (Elsevier, Amsterdam, 1996).
13. R. G. Larson, The Structure and Rheology of Complex Fluids (Oxford University Press, Oxford, 1999).
14. M. Ripoll, K. Mussawisade, R. G. Winkler, and G. Gompper, Europhys. Lett. 68, 106 (2004).
15. M. Ripoll, K. Mussawisade, R. G. Winkler, and G. Gompper, Phys. Rev. E 72, 016701 (2005).
16. M. Hecht, J. Harting, T. Ihle, and H. J. Herrmann, Phys. Rev. E 72, 011408 (2005).
17. J. T. Padding and A. A. Louis, Phys. Rev. E 74, 031402 (2006).
18. A. Malevanets and R. Kapral, J. Chem. Phys. 110, 8605 (1999).
19. A. Malevanets and R. Kapral, J. Chem. Phys. 112, 7260 (2000).
20. T. Ihle and D. M. Kroll, Phys. Rev. E 67, 066705 (2003).
21. T. Ihle and D. M. Kroll, Phys. Rev. E 63, 020201(R) (2001).
22. A. Mohan and P. S. Doyle, Macromolecules 40, 4301 (2007).
23. J. M. Kim and P. S. Doyle, J. Chem. Phys. 125, 074906 (2006).
24. N. Kikuchi, A. Gent, and J. M. Yeomans, Eur. Phys. J. E 9, 63 (2002).
25. M. Ripoll, R. G. Winkler, and G. Gompper, Eur. Phys. J. E 23, 349 (2007).
26. N. Kikuchi, C. M. Pooley, J. F. Ryder, and J. M. Yeomans, J. Chem. Phys. 119, 6388 (2003).
27. T. Ihle and D. M. Kroll, Phys. Rev. E 67, 066706 (2003).
28. T. Ihle, E. Tüzel, and D. M. Kroll, Phys. Rev. E 72, 046707 (2005).
29. J. A. Backer, C. P. Lowe, H. C. J. Hoefsloot, and P. D. Iedema, J. Chem. Phys. 122, 1 (2005).
30. R. Kapral, Adv. Chem. Phys., to appear (2008).
31. E. Allahyarov and G. Gompper, Phys. Rev. E 66, 036702 (2002).
32. N. Noguchi, N. Kikuchi, and G. Gompper, Europhys. Lett. 78, 10005 (2007).
33. T. Ihle, E. Tüzel, and D. M. Kroll, Europhys. Lett. 73, 664 (2006).
34. E. Tüzel, T. Ihle, and D. M. Kroll, Math. Comput. Simulat. 72, 232 (2006).
35. C. M. Pooley and J. M. Yeomans, J. Phys. Chem. B 109, 6505 (2005).
36. A. Lamura, G. Gompper, T. Ihle, and D. M. Kroll, Europhys. Lett. 56, 319 (2001).
37. H. Noguchi and G. Gompper, Phys. Rev. Lett. 93, 258102 (2004).
38. I. O. Götze, H. Noguchi, and G. Gompper, Phys. Rev. E 76, 046705 (2007).
39. J. F. Ryder, Mesoscopic Simulations of Complex Fluids, Ph.D. thesis, University of Oxford (2005).
40. I. O. Götze, private communication (2007).
41. J. Erpenbeck, Phys. Rev. Lett. 52, 1333 (1984).
42. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Clarendon Press, Oxford, 1987).
43. J. H. Irving and J. G. Kirkwood, J. Chem. Phys. 18, 817 (1950).
44. H. T. Davis, Statistical Mechanics of Phases, Interfaces, and Thin Films (VCH Publishers, Inc., 1996).
45. E. Tüzel, G. Pan, T. Ihle, and D. M. Kroll, Europhys. Lett. 80, 40010 (2007).
46. F. Reif, Fundamentals of Statistical and Thermal Physics (Mc-Graw Hill, 1965).
47. R. Zwanzig, Lectures in Theoretical Physics, vol.3 (Wiley, New York, 1961).
48. H. Mori, Prog. Theor. Phys. 33, 423 (1965).
49. H. Mori, Prog. Theor. Phys. 34, 399 (1965).
50. J. W. Dufty and M. H. Ernst, J. Phys. Chem. 93, 7015 (1989).
51. T. Ihle, E. Tüzel, and D. M. Kroll, Phys. Rev. E 70, 035701(R) (2004).
52. C. M. Pooley, Mesoscopic Modelling Techniques for Complex Fluids, Ph.D. thesis, University of Oxford (2003).
53. E. Tüzel, M. Strauss, T. Ihle, and D. M. Kroll, Phys. Rev. E 68, 036701 (2003).
54. E. Tüzel, Particle-based mesoscale modeling of flow and transport in complex fluids, Ph.D. thesis, University of Minnesota (2006).
55. T. Ihle and E. Tüzel, Prog. Comp. Fluid Dynamics 8, 123 (2008).
56. B. J. Berne and R. Pecora, Dynamic Light Scattering: With Applications to Chemistry, Biology and Physics (Wiley, New York, 1976).
57. E. Tüzel, T. Ihle, and D. M. Kroll, Phys. Rev. E 74, 056702 (2006).
58. H. Noguchi and G. Gompper, Europhys. Lett. 79, 36002 (2007).
59. H. Noguchi and G. Gompper, Phys. Rev. E 78, 016706 (2008).
60. T. Ihle, J. Phys.: Condens. Matter 20, 235224 (2008).
61. H. B. Callen, Thermodynamics (Wiley, New York, 1960).
62. Y. Hashimoto, Y. Chen, and H. Ohashi, Comp. Phys. Commun. 129, 56 (2000).
63. Y. Inoue, Y. Chen, and H. Ohashi, Comp. Phys. Commun. 201, 191 (2004).
64. Y. Inoue, S. Takagi, and Y. Matsumoto, Comp. Fluids 35, 971 (2006).
65. T. Sakai, Y. Chen, and H. Ohashi, Comp. Phys. Commun. 129, 75 (2000).
66. T. Sakai, Y. Chen, and H. Ohashi, Phys. Rev. E 65, 031503 (2002).
67. T. Sakai, Y. Chen, and H. Ohashi, Colloids Surf., A 201, 297 (2002).
68. A. Malevanets and J. M. Yeomans, Europhys. Lett. 52, 231 (2000).
69. J. Elgeti and G. Gompper, in NIC Symposium 2008, edited by G. Münster, D. Wolf, and M. Kremer (Neumann Institute for Computing, Jülich, 2008), vol.39 of NIC series, pp. 53-61.
70. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, Oxford, 1986).
71. E. Falck, O. Punkkinen, I. Vattulainen, and T. Ala-Nissila, Phys. Rev. E 68, 050102(R) (2003).
72. R. G. Winkler, K. Mussawisade, M. Ripoll, and G. Gompper, J. Phys.: Condens. Matter 16, S3941 (2004).
73. K. Mussawisade, M. Ripoll, R. G. Winkler, and G. Gompper, J. Chem. Phys. 123, 144905 (2005).
74. M. A. Webster and J. M. Yeomans, J. Chem. Phys. 122, 164903 (2005).
75. E. Falck, J. M. Lahtinen, I. Vattulainen, and T. Ala-Nissila, Eur. Phys. J. E 13, 267 (2004).
76. M. Hecht, J. Harting, and H. J. Herrmann, Phys. Rev. E 75, 051404 (2007).
77. S. H. Lee and R. Kapral, J. Chem. Phys. 121, 11163 (2004).
78. Y. Inoue, Y. Chen, and H. Ohashi, J. Stat. Phys. 107, 85 (2002).
79. J. T. Padding, A. Wysocki, H. Löwen, and A. A. Louis, J. Phys.: Condens. Matter 17, S3393 (2005).
80. S. H. Lee and R. Kapral, Physica A 298, 56 (2001).
81. A. Lamura and G. Gompper, Eur. Phys. J. E 9, 477 (2002).
82. J. T. Padding, private communication (2007).
83. C. Pierleoni and J.-P. Ryckaert, Phys. Rev. Lett. 61, 2992 (1991).
84. B. Dünweg and K. Kremer, Phys. Rev. Lett. 66, 2996 (1991).
85. C. Pierleoni and J.-P. Ryckaert, J. Chem. Phys. 96, 8539 (1992).
86. B. Dünweg and K. Kremer, J. Chem. Phys. 99, 6983 (1993).
87. C. Aust, M. Kröger, and S. Hess, Macromolecules 32, 5660 (1999).
88. E. S. Boek, P. V. Coveney, H. N. W. Lekkerkerker, and P. van der Schoot, Phys. Rev. E 55, 3124 (1997).
89. P. Ahlrichs and B. Dünweg, Int. J. Mod. Phys. C 9, 1429 (1998).
90. P. Ahlrichs, R. Everaers, and B. Dünweg, Phys. Rev. E 64, 040501 (2001).
91. N. A. Spenley, Europhys. Lett. 49, 534 (2000).
92. C. P. Lowe, A. F. Bakker, and M. W. Dreischor, Europhys. Lett. 67, 397 (2004).
93. G. K. Batchelor, J. Fluid Mech. 52, 245 (1972).
94. A. J. C. Ladd, Phys. Fluids 9, 481 (1997).
95. K. Höfler and S. Schwarzer, Phys. Rev. E 61, 7146 (2000).
96. J. T. Padding and A. A. Louis, Phys. Rev. Lett. 93, 220601 (2004).
97. H. Hayakawa and K. Ichiki, Phys. Rev. E 51, R3815 (1995).
98. H. Hayakawa and K. Ichiki, Phys. Fluids 9, 481 (1997).
99. M. H. Ernst, E. H. Hauge, and J. M. J. van Leeuwen, Phys. Rev. Lett. 25, 1254 (1970).
100. M. Hecht, J. Harting, M. Bier, J. Reinshagen, and H. J. Herrmann, Phys. Rev. E 74, 021403 (2006).
101. B. V. Derjaguin and D. P. Landau, Acta Phys. Chim. 14, 633 (1941).
102. W. B. Russel, D. A. Saville, and W. Schowalter, Colloidal dispersions (Cambridge University Press, Cambridge, 1995).
103. S. H. Lee and R. Kapral, J. Chem. Phys. 122, 214916 (2005).
104. J. G. Kirkwood and J. Riseman, J. Chem. Phys. 16, 565 (1948).
105. J. P. Erpenbeck and J. G. Kirkwood, J. Chem. Phys. 29, 909 (1958).
106. E. P. Petrov, T. Ohrt, R. G. Winkler, and P. Schwille, Phys. Rev. Lett. 97, 258101 (2006).
107. B. H. Zimm, J. Chem. Phys. 24, 269 (1956).
108. S. H. Lee and R. Kapral, J. Chem. Phys. 124, 214901 (2006).
109. M. H. Ernst, E. H. Hauge, and J. M. J. van Leeuwen, Phys. Rev. A 4, 2055 (1971).
110. J.-P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic Press, London, 1986).
111. B. Liu and B. Dünweg, J. Chem. Phys. 118, 8061 (2003).
112. P. Ahlrichs and B. Dünweg, J. Chem. Phys. 111, 8225 (1999).
113. M. Fixmann, J. Chem. Phys. 78, 1594 (1983).
114. M. Schmidt and W. Burchard, Macromolecules 14, 210 (1981).
115. W. H. Stockmayer and B. Hammouda, Pure & Appl. Chem. 56, 1373 (1984).
116. P. E. Rouse, J. Chem. Phys. 21, 1272 (1953).
117. P. G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University, Ithaca, 1979)
118. J. des Cloizeaux and G. Jannink, Polymer Solutions: Their Modelling and Structure (Clarendon Press, Oxford, 1990).
119. D. Ceperly, M. H. Kalos, and J. L. Lebowitz, Macromolecules 14, 1472 (1981).
120. K. Kremer and K. Binder, Comput. Phys. Rep. 7, 261 (1988).
121. R. G. Winkler, L. Harnau, and P. Reineker, Macromol. Theory Simul. 6, 1007 (1997).
122. R. Chang and A. Yethiraj, J. Chem. Phys. 114, 7688 (2001).
123. N. Kikuchi, A. Gent, and J. M. Yeomans, Eur. Phys. J. E 9, 63 (2002).
124. N. Kikuchi, J. F. Ryder, C. M. Pooley, and J. M. Yeomans, Phys. Rev. E 71, 061804 (2005).
125. I. Ali and J. M. Yeomans, J. Chem. Phys. 123, 234903 (2005).
126. I. Ali and J. M. Yeomans, J. Chem. Phys. 121, 8635 (2004).
127. I. Ali, D. Marenduzzo, and J. F. D. Yeomans, Phys. Rev. Lett. 96, 208102 (2006).
128. N. Watari, M. Makino, N. Kikuchi, R. G. Larson, and M. Doi, J. Chem. Phys. 126, 094902 (2007).
129. F. Brochard-Wyart, Europhys. Lett. 23, 105 (1993).
130. F. Brochard-Wyart, H. Hervet, and P. Pincus, Europhys. Lett. 26, 511 (1994).
131. F. Brochard-Wyart, Europhys. Lett. 30, 210 (1995).
132. L. Cannavacciuolo, R. G. Winkler, and G. Gompper, EPL 83, 34007 (2008).
133. U. S. Agarwal, A. Dutta, and R. A. Mashelkar, Chem. Eng. Sci. 49, 1693 (1994).
134. R. M. Jendrejack, D. C. Schwartz, J. J. de Pablo, and M. D. Graham, J. Chem. Phys. 120, 2513 (2004).
135. O. B. Usta, J. E. Butler, and A. J. C. Ladd, Phys. Fluids 18, 031703 (2006).
136. R. Khare, M. D. Graham, and J. J. de Pablo, Phys. Rev. Lett. 96, 224505 (2006).
137. D. Stein, F. H. J. van der Heyden, W. J. A. Koopmans, and C. Dekker, Proc. Natl. Acad. Sci. USA 103, 15853 (2006).
138. O. B. Usta, J. E. Butler, and A. J. C. Ladd, Phys. Rev. Lett. 98, 098301 (2007).
139. G. S. Grest, K. Kremer, and T. A. Witten, Macromolecules 20, 1376 (1987).
140. C. N. Likos, Phys. Rep. 348, 267 (2001).
141. D. Vlassopoulos, G. Fytas, T. Pakula, and J. Roovers, J. Phys.: Condens. Matter 13, R855 (2001).
142. M. Ripoll, R. G. Winkler, and G. Gompper, Phys. Rev. Lett. 96, 188302 (2006).
143. G. S. Grest, K. Kremer, S. T. Milner, and T. A. Witten, Macromolecules 22, 1904 (1989).
144. D. R. Mikulencak and J. F. Morris, J. Fluid Mech. 520, 215 (2004).
145. A. Link and J. Springer, Macromolecules 26, 464 (1993).
146. R. E. Teixeira, H. P. Babcock, E. S. G. Shaqfeh, and S. Chu, Macromolecules 38, 581 (2005).
147. R. G. Winkler, Phys. Rev. Lett. 97, 128301 (2006).
148. P. G. de Gennes, J. Chem. Phys. 60, 5030 (1974).
149. P. LeDuc, C. Haber, G. Bao, and D. Wirtz, Nature (London) 399, 564 (1999).
150. D. E. Smith, H. P. Babcock, and S. Chu, Science 283, 1724 (1999).
151. C. Aust, M. Kröger, and S. Hess, Macromolecules 35, 8621 (2002).
152. Y. Navot, Phys. Fluids 10, 1819 (1998).
153. R. Goetz and R. Lipowsky, J. Chem. Phys. 108, 7397 (1998).
154. R. Goetz, G. Gompper, and R. Lipowsky, Phys. Rev. Lett. 82, 221 (1999).
155. W. K. den Otter and W. J. Briels, J. Chem. Phys. 118, 4712 (2003).
156. J. C. Shillcock and R. Lipowsky, J. Chem. Phys. 117, 5048 (2002).
157. L. Rekvig, B. Hafskjold, and B. Smit, Phys. Rev. Lett. 92, 116101 (2004).
158. M. Laradji and P. B. S. Kumar, Phys. Rev. Lett. 93, 198105 (2004).
159. V. Ortiz, S. O. Nielsen, D. E. Discher, M. L. Klein, R. Lipowsky, and J. Shillcock, J. Phys. Chem. B 109, 17708 (2005).
160. M. Venturoli, M. M. Sperotto, M. Kranenburg, and B. Smit, Phys. Rep. 437, 1 (2006).
161. H. Noguchi and M. Takasu, J. Chem. Phys. 115, 9547 (2001).
162. H. Noguchi, J. Chem. Phys. 117, 8130 (2002).
163. O. Farago, J. Chem. Phys. 119, 596 (2003).
164. I. R. Cooke, K. Kremer, and M. Deserno, Phys. Rev. E 72, 011506 (2005).
165. W. Helfrich and Z. Naturforsch. 28c, 693 (1973).
166. G. Gompper and D. M. Kroll, J. Phys.: Condens. Matter 9, 8795 (1997).
167. G. Gompper and D. M. Kroll, in Statistical Mechanics of Membranes and Surfaces, edited by D. R. Nelson, T. Piran, and S. Weinberg (World Scientific, Singapore, 2004), pp. 359-426, 2nd ed.
168. J. M. Drouffe, A. C. Maggs, and S. Leibler, Science 254, 1353 (1991).
169. H. Noguchi and G. Gompper, Phys. Rev. E 73, 021903 (2006).
170. J.-S. Ho and A. Baumgärtner, Europhys. Lett. 12, 295 (1990).
171. D. M. Kroll and G. Gompper, Science 255, 968 (1992).
172. D. H. Boal and M. Rao, Phys. Rev. A 45, R6947 (1992).
173. G. Gompper and D. M. Kroll, J. Phys. I France 6, 1305 (1996).
174. C. Itzykson, in Proceedings of the GIFT Seminar, Jaca 85, edited by J. Abad, M. Asorey, and A. Cruz (World Scientific, Singapore, 1986), pp. 130-188.
175. G. Gompper, in Soft Matter-Complex Materials on Mesoscopic Scales, edited by J. K. G. Dhont, G. Gompper, and D. Richter (Forschungszentrum Jülich, Jülich, 2002), vol.10 of Matter and Materials.
176. U. Seifert, K. Berndl, and R. Lipowsky, Phys. Rev. A 44, 1182 (1991).
177. G. Gompper and D. M. Kroll, Phys. Rev. Lett. 73, 2139 (1994).
178. G. Gompper and D. M. Kroll, Phys. Rev. E 51, 514 (1995).
179. H.-G. Döbereiner, G. Gompper, C. Haluska, D. M. Kroll, P. G. Petrov, and K. A. Riske, Phys. Rev. Lett. 91, 048301 (2003).
180. H. Noguchi and G. Gompper, Phys. Rev. E 72, 011901 (2005).
181. B. Alberts, A. Johnson, J. Lewis, M. Raff, K. Roberts, and P. Walter, Molecular Biology of the Cell (Garland, New York, 2007), 5th ed.
182. N. Mohandas and E. Evans, Annu. Rev. Biophys. Biomol. Struct. 23, 787 (1994).
183. L. Scheffer, A. Bitler, E. Ben-Jacob, and F. Korenstein, Eur. Biophys. J. 30, 83 (2001).
184. G. Lenormand, S. Hénon, A. Richert, J. Siméon, and F. Gallet, Biophys. J. 81, 43 (2001).
185. D. E. Discher, D. H. Boal, and S. K. Boey, Biophys. J. 75, 1584 (1998).
186. G. Lim, M. Wortis, and R. Mukhopadhyay, Proc. Natl. Acad. Sci. USA 99, 16766 (2002).
187. H. Noguchi and G. Gompper, Proc. Natl. Acad. Sci. USA 102, 14159 (2005).
188. H. Noguchi and G. Gompper, J. Chem. Phys. 125, 164908 (2006).
189. M. M. Dupin, I. Halliday, C. M. Care, L. Alboul, and L. L. Munn, Phys. Rev. E 75, 066707 (2007).
190. K. H. de Haas, C. Blom, D. van den Ende, M. H. G. Duits, and J. Mellema, Phys. Rev. E 56, 7132 (1997).
191. V. Kantsler and V. Steinberg, Phys. Rev. Lett. 95, 258101 (2005).
192. V. Kantsler and V. Steinberg, Phys. Rev. Lett. 96, 036001 (2006).
193. M. A. Mader, V. Vitkova, M. Abkarian, A. Viallat, and T. Podgorski, Eur. Phys. J. E 19, 389 (2006).
194. S. R. Keller and R. Skalak, J. Fluid Mech. 120, 27 (1982).
195. T. W. Secomb and R. Skalak, Q. J. Mech. Appl. Math. 35, 233 (1982).
196. T. W. Secomb, T. M. Fischer, and R. Skalak, Biorheology 20, 283 (1983).
197. R. Tran-Son-Tay, S. P. Sutera, and P. R. Rao, Biophys. J. 46, 65 (1984).
198. U. Seifert, Eur. Phys. J. B 8, 405 (1999).
199. C. Misbah, Phys. Rev. Lett. 96, 028104 (2006).
200. G. Danker, T. Biben, T. Podgorski, C. Verdier, and C. Misbah, Phys. Rev. E 76, 041905 (2007).
201. V. V. Lebedev, K. S. Turitsyn, and S. S. Vergeles, Phys. Rev. Lett. 99, 218101 (2007).
202. M. Kraus, W. Wintz, U. Seifert, and R. Lipowsky, Phys. Rev. Lett. 77, 3685 (1996).
203. J. Beaucourt, F. Rioual, T. Séon, T. Biben, and C. Misbah, Phys. Rev. E 69, 011906 (2004).
204. T. Biben, K. Kassner, and C. Misbah, Phys. Rev. E 72, 041921 (2005).
205. H. Noguchi and G. Gompper, Phys. Rev. Lett. 98, 128103 (2007).
206. F. Brochard and J. F. Lennon, J. Phys. France 36, 1035 (1975).
207. J. Rudnick and G. Gaspari, J. Phys. A 19, L191 (1986).
208. G. B. Nash and H. J. Meiselman, Biophys. J. 43, 63 (1983).
209. K. Tsukada, E. Sekizuka, C. Oshio, and H. Minamitani, Microvasc. Res. 61, 231 (2001).
210. B. M. Discher, Y.-Y. Won, D. S. Ege, J. C.-M. Lee, F. S. Bates, D. E. Discher, and D. A. Hammer, Science 284, 1143 (1999).
211. R. Dimova, U. Seifert, B. Pouligny, S. Förster, and H.-G. Döbereiner, Eur. Phys. J. E 7, 241 (2002).
212. H. Noguchi and G. Gompper, J. Phys.: Condens. Matter 17, S3439 (2005).
213. R. Finken, A. Lamura, U. Seifert, and G. Gompper, Eur. Phys. J. E 25, 309 (2008).
214. T. W. Secomb, R. Skalak, N. Ö zkaya, and J. F. Gross, J. Fluid Mech. 163, 405 (1986).
215. R. Skalak, Biorheology 27, 277 (1990).
216. R. Bruinsma, Physica A 234, 249 (1996).
217. C. Quéguiner and D. Barthès-Biesel, J. Fluid Mech. 348, 349 (1997).
218. C. Pozrikidis, Phys. Fluids 17, 031503 (2005)
219. C. Pozrikidis, Ann. Biomed. Eng. 33, 165 (2005).
220. R. Skalak, Science 164, 717 (1969).
221. S. Chien, Ann. Rev. Physiol. 49, 177 (1987).
222. Y. Suzuki, N. Tateishi, M. Soutani, and N. Maeda, Microcirc. 3, 49 (1996).
223. K. Boryczko, W. Dzwinel, and D. A. Yuen, J. Mol. Modeling 9, 16 (2003).
224. W. Dzwinel, K. Boryczko, and D. A. Yuen, J. Colloid Int. Sci. 258, 163 (2003).
225. C. D. Eggleton and A. S. Popel, Phys. Fluids 10, 1834 (1998).
226. Y. Liu and W. K. Liu, J. Comput. Phys. 220, 139 (2006).
227. H. Tanaka, J. Phys.: Condens. Matter 12, R207 (2000).
228. J. Vermant and M. J. Solomon, J. Phys.: Condens. Matter 17, R187 (2005).
229. Y.-G. Tao, I. O. Götze, and G. Gompper, J. Chem. Phys. 128, 144902 (2008).
230. R. B. Bird, C. F. Curtis, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids, Volume 2: Kinetic Theory (Wiley, New York, 1987).