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. Author manuscript; available in PMC: 2013 Feb 8.
Published in final edited form as: Mol Phys. 2012 Feb 8;110(11-12):1057–1067. doi: 10.1080/00268976.2012.663510

Table 2.

A summary of comparison of dynamic properties between the hybrid (current), fluctuating hydrodynamics, and generalized Langevin approaches. Abbreviations, MBD: Maxwell-Boltzmann distribution.

Method VACF Diffusion
Hybrid Follows (i) an exponential decay at short times; (ii) an algebraic decay over long times (translational: t−3/2 & rotational: t−5/2) Obey Stokes-Einstein (translation) and Stokes-Einstein-Debye (rotation) relations
Fluctuating hydrodynamics [22] Follows (i) an exponential decay at short times; (ii) an algebraic decay over long times (translational: t−3/2 & rotational: t−5/2) Obey Stokes-Einstein (translation) and Stokes-Einstein-Debye (rotation) relations
Generalized Langevin dynamics [30] Follows (i) a stretched exponential decay at short times; (ii) an algebraic decay over long times (translational: t−3/2 & rotational: t−5/2) Obey Stokes-Einstein (translation) and Stokes-Einstein-Debye (rotation) relations, with scaling factors