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...Esaim man mathematical modelling and numerical analysis doi www org computational fluctuating fluid dynamics john b bell alejandro l garcia sarah a williams abstract thispaperdescribestheextensionofarecentlydevelopednumericalsolverforthelandau lifshitz navier stokes llns equations to binary mixtures in three dimensions the incorporate thermal uctuations into macroscopic hydrodynamics by using white noise uxes these stochastic pdes are more complicated due tensorial form of correlations for couplings energy concentration e g soret eect we present various tests systems out equilibrium including time dependentsystems demonstrate good agreement with theoretical results molecular simulation mathematics subject classication r h c received june published online august introduction scientists accustomed viewing world as deterministic this mechanical point view has been reinforced over technological successes modern engineering yet comfortable predictable model cannot be applied directly micros...