Should "lane formation" occur systematically in driven liquids and colloids?

We report on nonequilibrium molecular dynamics simulations of binary mixtures of particles in a color field. Both nonequilibrium molecular dynamics and Brownian dynamics generally assume that the mechanical noise is of thermal origin only and that, at a given temperature, its amplitude remains constant however strong the applied field is. We show that this postulate systematically results in the strong ordering of particles into lanes. By applying a nonequilibrium molecular dynamics method which does not exert any constraint on the noise amplitude, we show that releasing this constraint prevents the systematic "lane formation" from occurring. We observe the onset of density inhomogeneities and jamming instead. This behavior is reminiscent of the shear-thickening regime observed experimentally on colloidal suspensions and in simulations taking into account hydrodynamic interactions.

[1]  S. Hess,et al.  Rheology: From simple and to complex fluids , 1997 .

[2]  Microscopic expressions for the thermodynamic temperature , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[3]  O. Jepps,et al.  Colour conductivity of hard spheres , 2004 .

[4]  J. Petravic,et al.  Shear viscosity of molten sodium chloride , 2003 .

[5]  J. H. R. Clarke,et al.  A new algorithm for dissipative particle dynamics , 2001 .

[6]  D. Heyes.  Some physical consequences of large shear rates on simple liquids , 1986 .

[7]  G. Chester,et al.  Melting in two dimensions. , 1992, Physical review. B, Condensed matter.

[8]  Loose,et al.  Temperature and temperature control in nonequilibrium-molecular-dynamics simulations of the shear flow of dense liquids. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[9]  Simulations of shear-induced melting in two dimensions , 2004 .

[10]  J. Q. Broughton,et al.  Molecular-dynamics study of melting in two dimensions. Inverse-twelfth-power interaction , 1982 .

[11]  John F. Brady,et al.  Computer simulation of viscous suspensions , 2001 .

[12]  J. Delhommelle.  Onset of shear thickening in a simple fluid , 2004, The European physical journal. E, Soft matter.

[13]  Evans,et al.  Shear thickening and turbulence in simple fluids. , 1986, Physical review letters.

[14]  J Dzubiella,et al.  Pattern formation in driven colloidal mixtures: tilted driving forces and re-entrant crystal freezing , 2002 .

[15]  K. Kremer,et al.  Dissipative particle dynamics: a useful thermostat for equilibrium and nonequilibrium molecular dynamics simulations. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  I. Vattulainen,et al.  How would you integrate the equations of motion in dissipative particle dynamics simulations , 2003 .

[17]  J. Erpenbeck,et al.  Shear viscosity of the hard-sphere fluid via nonequilibrium molecular dynamics , 1984 .

[18]  So,et al.  Shear flow at liquid-liquid interfaces , 1995 .

[19]  J. Naudts,et al.  Field-induced percolation in a polarized lattice gas , 1991 .

[20]  J Dzubiella,et al.  Reentrance effect in the lane formation of driven colloids. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  S. Hess,et al.  Rheology of dense model fluids via nonequilibrium molecular dynamics: Shear thinning and ordering transition , 1989 .

[22]  H. Löwen,et al.  Lane formation in colloidal mixtures driven by an external field. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  P. Daivis,et al.  Erratum: Thermostats for molecular fluids undergoing shear flow: Application to liquid chlorine [J. Chem. Phys. 103, 10638 (1995)] , 1996 .

[24]  H. H. Rugh,et al.  Dynamical Approach to Temperature , 1997, chao-dyn/9701026.

[25]  J. Delhommelle,et al.  Comparison of thermostatting mechanisms in NVT and NPT simulations of decane under shear , 2001 .

[26]  M. Klein,et al.  Profile unbiased thermostat with dynamical streaming velocities , 1996 .

[27]  Leo Lue,et al.  Configurational thermostats for molecular systems , 2002 .

[28]  P. Pusey,et al.  Direct observation of oscillatory-shear-induced order in colloidal suspensions , 1998 .

[29]  Grest,et al.  Shear-induced alignment of colloidal particles in the presence of a shear flow. , 1990, Physical review letters.

[30]  B. Ackerson,et al.  Shear-induced order in suspensions of hard spheres. , 1988, Physical review letters.

[31]  Bagchi,et al.  Observation of a two-stage melting transition in two dimensions. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[32]  Jerome Delhommelle,et al.  Correspondence between configurational temperature and molecular kinetic temperature thermostats , 2002 .

[33]  H. Löwen,et al.  Nonequilibrium pattern formation in strongly interacting driven colloids. , 2003, Faraday discussions.

[34]  Jerome Delhommelle,et al.  Reexamination of string phase and shear thickening in simple fluids. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[35]  Robbins,et al.  Shear melting of colloids: A nonequilibrium phase diagram. , 1991, Physical review letters.

[36]  J. Petravic,et al.  Non-Newtonian behavior in simple fluids. , 2004, The Journal of chemical physics.

[37]  Vicsek,et al.  Freezing by heating in a driven mesoscopic system , 1999, Physical review letters.

[38]  J. McWhirter.  The stability of planar Couette flow simulated by molecular dynamics , 2003 .

[39]  Hao Wang,et al.  Microstructural changes in a colloidal liquid in the shear thinning and shear thickening regimes , 1999 .

[40]  Denis J. Evans,et al.  On the effects of assuming flow profiles in nonequilibrium simulations , 2003 .

[41]  J. Melrose.  Colloid flow during thickening--a particle level understanding for core-shell particles. , 2003, Faraday discussions.

[42]  S. Hess.  Structure and Nonlinear Flow Behavior of Simple and Complex Fluids , 2002 .

[43]  J. Petravic,et al.  Conductivity of molten sodium chloride in an alternating electric field , 2003 .

[44]  Size-dependent properties of two-dimensional solids. , 1989, Physical review. B, Condensed matter.

[45]  J. Petravic,et al.  Conductivity of molten sodium chloride and its supercritical vapor in strong dc electric fields , 2003 .

[46]  N. Wagner,et al.  Flow-small angle neutron scattering measurements of colloidal dispersion microstructure evolution through the shear thickening transition , 2002 .