Self-consistent generalized Langevin equation theory for liquids of non-spherical brownian particles
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Date
2015-01
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Abstract
"A theoretical approach is proposed in order to describe, in the absence of hydrodynamic interactions, the equilibrium self and collective dynamics of brownian liquids conformed by non-spherical interacting particles.
As an extension of the so-called self-consistent generalized Langevin equation formalism (SCGLE), we derive equations of motion for the spherical harmonics projections of the collective and self intermediate scattering functions, Flm;lm(k; t) and FS lm;lm(k; t). In the long-time asymptotic limit, these equations become the socalled bifurcation equations, whose solutions (the nonergodicity parameters) can be written, extending the spherical case, in terms of one translational and one orientational scalar dynamic order parameters, gT and
gR, which characterize the possible dynamical arrest transitions of a given system. As concrete and ilustrative applications of our derivations we consider two model systems, namely, a dipolar hard sphere fluid, for which we determine the arrested phases diagram; and a classical Heisenberg dipolar system with positional disorder, for which we solve the full rotational dynamics to characterize spin glass transitions."