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    Université de Fribourg

    Dynamical density functional theory analysis of the laning instability in sheared soft matter

    Scacchi, Alberto ; Archer, A. J. ; Brader, Joseph M.

    In: Physical Review E, 2017, vol. 96, no. 6, p. 062616

    Using dynamical density functional theory (DDFT) methods we investigate the laning instability of a sheared colloidal suspension. The nonequilibrium ordering at the laning transition is driven by nonaffine particle motion arising from interparticle interactions. Starting from a DDFT which incorporates the nonaffine motion, we perform a linear stability analysis that enables identification of...

    Université de Fribourg

    Dynamic correlations in Brownian many-body systems

    Brader, Joseph M. ; Schmidt, Matthias

    In: The Journal of Chemical Physics, 2014, vol. 140, no. 3, p. 034104

    For classical Brownian systems driven out of equilibrium, we derive inhomogeneous two-time correlation functions from functional differentiation of the one-body density and current with respect to external fields. In order to allow for appropriate freedom upon building the derivatives, we formally supplement the Smoluchowski dynamics by a source term, which vanishes at the physical solution....

    Université de Fribourg

    Nonequilibrium Ornstein-Zernike relation for Brownian many-body dynamics

    Brader, Joseph M. ; Schmidt, Matthias

    In: The Journal of Chemical Physics, 2013, vol. 139, no. 10, p. 104108

    We derive a dynamic Ornstein-Zernike equation for classical fluids undergoing overdamped Brownian motion and driven out of equilibrium. Inhomogeneous two-time correlation functions are obtained from functional differentiation of the one-body density and current with respect to an appropriately chosen external field. Functional calculus leads naturally to non-Markovian equations of motion for the...