Nonequilibrium dynamics of glassforming liquid mixtures
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The nonequilibrium selfconsistent generalized Langevin equation theory of irreversible processes in glassforming liquids [P. Ramírez González and M. MedinaNoyola, Phys. Rev. E 82, 061503 (2010)] is extended here to multicomponent systems. The resulting theory describes the statistical properties of the instantaneous local particle concentration profiles nα(r, t) of species α in terms of the coupled timeevolution equations for the mean value nα ( r,t) and for the covariance σαβ(r,r′;t)=δnα(r,t) δnβ(r′,t)̄ of the fluctuations δnα(r,t)= nα(r,t)n̄α(r,t). As in the monocomponent case, these two coarsegrained equations involve a local mobility function b α(r, t) for each species, written in terms of the memory function of the twotime correlation function Cαβ(r,r′;t, t′)=δnα(r,t)δnβ(r′,t′)̄. If the system is constrained to remain spatially uniform and subjected to a nonequilibrium preparation protocol described by a given temperature and composition change program T(t) and n̄α(t), these equations predict the irreversible structural relaxation of the partial static structure factors Sαβ(k; t) and of the (collective and self) intermediate scattering functions Fαβ(k, τ; t) and FαβS(k,τ;t). We illustrate the applicability of the resulting theory with two examples involving simple model mixtures subjected to an instantaneous temperature quench: an electroneutral binary mixture of equally sized and oppositely charged hardspheres, and a binary mixture of softspheres of moderate sizeasymmetry. © 2014 AIP Publishing LLC.
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Binary mixtures; Differential equations; Glass; Liquids; Statistical mechanics; Generalized Langevin equation theories; Intermediate scattering functions; Multicomponent systems; Nonequilibrium dynamics; Particle concentrations; Static structure factors; Statistical properties; Twotime correlation function; Glass forming machines
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