The study of complex fluids and soft materials contains a number of basic conceptual and practical challenges. The most basic difficulties are related to the fact that different length and time scales compete, making it impractical to carry out first principles modeling of these materials [1]. Colloidal particles are rigid molecular aggregates of sizes varying between a few nanometers and a micron. As a result, they are at least one order of magnitude larger than the molecules that characterize the solvent they are suspended in. Colloids move at smaller velocities than solvent molecules as a result of their size mismatch, and hence their characteristic time scales are also orders of magnitude larger than solvent ones. Moreover, colloid interactions also differ qualitatively from their molecular counterparts. Although they derive from the specific atomic interactions among the atoms that constitute the colloids, the fact that colloids are made of thousands of atoms implies that the effective strength is typically of a few times the characteristic thermal energy, kBT, at room temperature, with kB referring to the Boltzmann constant [2].
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References
“Soft and fragile matter: Nonequilibrium dynamics, metastability and flow”, M.E. Cates and M.R. Evans eds., SUSSP Publications and Institute of Physics Publishing, Bristol (2000).
T.A. Witten, Rev. Mod. Physics 71, S367 (199).
J. Israelachvili, ”Intermolecular and surface forces”, Academic Press London (1992).
T.A. Witten, ”Structured fluids. Polymers, colloids surfactants”, Oxford University Press, Oxford (2004)
R.G. Larson, ”The structure and rheology of complex fluids”, Oxford University Press, New York (1999).
J.K.G. Dhont, ”An Introduction to dynamics of colloids”, Elsevier, Amsterdam (1996)
M.J. Nuevo, J.J. Morales and D.M. Heyes, Phys. Rev. E 58, 5845 (1998)
F. Ould-Kaddour and D. Levesque, J. Chem. Phys. 118,7888 (2003)
M. Allen and D. Tildesley, ”Computer simulation of liquids”, Oxford University Press, Oxford (2000).
P. Español and P.B. Warren, Europhys. Lett. 30, 191 (1995).
C.P. Lowe, Europhys. Lett.47, 145 (1999).
C.A. Marsh, G. Backx and M.H. Ernst, Phys. Rev. E 56, 1676 (1997).
The effective potentials are introduced naively by regarding a particle in these models as representing a bunch of molecules. For an attempt to link the effective forces to microscopic one, see e.g. E.G. Flekkoy and P.V. Coveney, Phys. Rev. Lett. 83, 1775 (1999).
D.H. Rothman and S. Zaleski, Lattice-gas cellular automata: simple models of complex hydrodynamics, Cambridge University Press (1997).
S. Succi, ”The Lattice Boltzmann equation for fluid dynamics ad beyond”, Ox- ford University press, Oxford (2001).
U. Frish, B. Hasslacher and Y. Pomeau, Phys. Rev. Lett. 56, 1505 (1986).
S. Wolfram, J. Stat. Phys. 45, 471 (1986).
F. Higuera, S. Succi and R. Benzi, Europhys. Lett. 9, 345 (1989).
R. Verberg and A.J.C. Ladd, J. Stat. Phys. 104, 1191 (2001).
V.M. Kendon, M.E. Cates, I. Pagonabarraga, J.-C. Desplat and P. Bladon, J. Fluid. Mech. 440, 147 (2001).
O. Behrend R. Harris and P.B. Warren, Phys. Rev. E 50, 4586 (1994).
A.J. Wagner, Prog. Comput. Fluid Dyn. 5, 20 (2005).
X. Shan and H. Chen, Phys. Rev. E 49, 2941 (1994).
L.-S. Luo, Phys. Rev. E 62, 4982 (2000).
M.R. Swift, W.R. Osborn, and J.M. Yeomans, Phys. Rev. Lett. 75, 830 (1995); M. R. Swift, E. Orlandini, W. R. Osborn, and J. M. Yeomans, Phys. Rev. E 54, 5041 (1996).
R. Evans, Density functionals in the theory of nonuniform fluids”, p. 85, in “Fundamentals of Inhomogeneous Fluids”, D. Henderson ed., Marcel Dekker Inc., New York 1992.
A.J. Wagner, Int. J. Mod. Phys. B 17, 193 (2003).
G. Tóth, C. Denniston, and J. M. Yeomans Phys. Rev. Lett. 88, 105504 (2002); C. Denniston, E. Orlandini, and J. M. Yeomans, Phys. Rev. E 64, 021701 (2001).
G. Gonnella, E. Orlandini and J.M. Yeomans, Phys. Rev. E 58, 480 (1998)
O. Theissen, G. Gommper and D.M. Kroll, Europhys. Lett. 42, 419 (1998).
F. Capuani, I. Pagonabarraga and D. Frenkel, J. Chem. Phys. 121, 973 (2004); ibid, 124, 124903 (2006).
A.J. Bray, Adv. Phys. 43, 357 (1994).
V.M. Kendon, J-C. Desplat, P. Bladon, and M.E. Cates Phys. Rev. Lett. 83, 576 (1999).
I. Pagonabarraga, A.J. Wagner and M.E. Cates, J. Stat. Phys. 107, 39 (2002).
I. Pagonabarraga, J.-C. Desplat, A.J. Wagner and M.E. Cates, New Journ. of Phys. 3, 91 (2001).
A.J.C. Ladd, J. Fluid Mech. 271, 285 (1994); J. Fluid Mech. 271, 311 (1994).
M.W. Heemels, M.H.J. Hagen and C.P. Lowe, J. Comput. Phys. 164, 48 (2000).
C.P. Lowe, D. Frenkel and A.J. Masters, J. Chem. Phys. 76, 1582 (1995).
J.A. Kaandorp and C.P. Lowe, Phys. Rev. Lett. 77, 2328 (1996).
C.P. Lowe and D. Frenkel, Phys. Rev. E 54, 2704 (1996).
M.H. Hagen, D. Frenkel and C.P. Lowe, Physica A 272, 376 (1996).
P. Ahlrichs and B. Dünweg, J. Chem. Phys. 111, 4453 (1999).
V. Lobaskin, B. Dünweg, New J. Physics 6, 54 (2004).
A. Chatterji and J. Horbach, J. Chem. Pys. 122, 184903 (2005)
R. Adhikari, K. Stratford, A.J. Wagner and M.E. Cates, Europhys. Lett. 71, 473 (2005).
N.Q. Nguyen and A.J.C. Ladd, Phy. Rev. E 66, 046708 (2002).
K. Stratford, R. Adhikari, I. Pagonabarraga and J.-C. Desplat, J. Stat. Phys. 121,163 (2005).
J.-C. Desplat, I. Pagonabarraga and P. Bladon, Comp. Phys. Comm. 134, 273 (2001).
J.F. Brady and G. Bossis, Ann. Rev. Fluid Mech. 20, 111 (1988).
M.E. Cates, K. Stratford, R. Adhikari, P. Stansell, J.-C. Desplat, I. Pagonabar- raga and A.J. Wagner, J. Phys. Cond. Matt. 16 S3903 (2004).
A.J.C. Ladd, J. Chem. Phys. 88, 5051 (1988).
J.X. Zhu, D.J. Durian, D.A. Weitz and D.J. Pine, Phys. Rev. Lett. 68, 2559 (1992); A.J.C. Ladd, H. Gang, J.X. Zhu and .A. Weitz, Phys. Rev. E 52, 6550 (1995).
A. F. Bakker and C. P. Lowe: J. Chem. Phys. 116, 5817 (2002)
P.N. Segré, O.P. Behrend and P.N. Pusey, Phys. Rev. E 52, 5070 (1995).
T.M. Squires and S.R. Quake, Rev. Mod. Phys. 77, 977 (2005).
M.A. van der Hoef, D. Frenkel and A.J.C. Ladd, Phys. Rev. Lett. 67, 3459 (1991).
M.H.J. Hagen, I. Pagonabarraga, C.P. Lowe and D. Frenkel, Phys. Rev. Lett. 78,3785 (1997)
I. Pagonabarraga, M.H.J. Hagen, C.P. Lowe and D. Frenkel, Phys. Rev. E 58, 7288 (1998).
P.N. Segré, E. Herbolzheimer and P.M. Chaikin, Phys. Rev. Lett. 79, 2574 (1997).
R.E. Caflisch and J.H.C. Luke, Phys. Fluids 28, 259 (1985).
N.-Q. Nguyenm A.J.C. Ladd, J. Fluid. Mech. 525, 73 (2005).
A. Levine, S. Ramaswamy, E. Frey and R. Bruinsma, Phys. Rev. Lett. 81, 5944 (1998).
J.T. Padding and A.A. Louis, Phys. Rev. Lett. 93, 220601 (2004).
A.D. Dinsmore, M.F. Hsu, M.G. Nikolaides, M. Marquez, A.R. Bausch and D.A. Weitz, Science 298, 1006 (2002).
A.B. Subramaniam, M. Abkarian, L. Mahadevan and H.A. Stone, Nature 438, 930 (2005).
R. Adhikari, K. Sratford and M.E. Cates, J. Phys. Cond. Matt. 17, S2771 (2005).
K. Stratford, R. Adhikari, I. Pagonabarraga, J.-C. Desplat y M.E. Cates, Science 309,2174 (2005).
J. Horbach and S. Succi, Pys. Rev. Lett. 96, 224503 (2006).
P.B. Warren, Curr. Opin. Coll. Int. Sci. 3, 620 (1998).
A. Malevanets and R. Kapral, J. Chem. Phys. 112, 7260 (2000).
R.D. Groot and P.B. Warren, J. Chem. Phys. 107, 4423 (1997).
A.A. Louis, J. Phys. Cond. Matt. 14, 9187 (2002).
I. Pagonabarraga and D. Frenkel, J. Chem. Phys. 115, 5015 (2001).
S. Merabia and I. Pagonabarraga, Eur. J. Phys. E 20, 209 (2006).
P. Español and M. Revenga, Phys. Rev. E 67, 026705 (2003).
E.S. Boek, P.V. Coveney, H.N.W. Lekkerkerker and P. van der Schoot, Phys. Rev. E 55, 3124 (1997).
M.P. Allen, J. Phys. Chem. B 110, 3823 (2006).
G. Bird, ”Molecular gas dynamics and the direct simulation of gas flows”, Clarendon Press, Oxford (1994).
N. Kikuchi, C.M. Pooley, J.F. Ryder and J.M. Yeomans, J. Chem. Phys. 119, 6388 (2003).
S.H. Lee and R. Kapral, Physica A 298, 56 (2001).
M. Hecht, J. Harting, T. Ihle and H.J. Hermann, Phys. Rev. E 72, 011408 (2005).
J.T. Padding and A.A. Louis, Phys. Rev. E 74, 031402 (2006)
Y.N. Kikuchi, J.F. Ryder, C.M. Pooley and J.M. Yeomans, Phys. Rev. E 71, 061804 (2005).
M. Ripoll, R.G. Winkler and G. Gompper, Phys. Rev. Lett. 96, 188302 (2006).
H. Noguchi and G. Gompper, Proc. Nat. Acad. Sci. 102, 14159 (2005).
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Pagonabarraga, I. (2007). Understanding Liquid/Colloids Composites with Mesoscopic Simulations. In: Zvelindovsky, A.V. (eds) Nanostructured Soft Matter. NanoScience and Technology. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6330-5_19
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