Testing power-law relaxation scenarios in a metastable liquid

Gupta, Bhaskar Sen ; Das, Shankar P. (2012) Testing power-law relaxation scenarios in a metastable liquid International Journal of Modern Physics B, 26 (29). Article ID 1250146. ISSN 0217-9792

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Official URL: http://www.worldscientific.com/doi/abs/10.1142/S02...

Related URL: http://dx.doi.org/10.1142/S0217979212501469


The renormalized dynamics described by the equations of nonlinear fluctuating hydrodynamics (NFH) treated at one loop order gives rise to the basic model of the mode coupling theory (MCT). We investigate here by analyzing the density correlation function, a crucial prediction of ideal MCT, namely the validity of the multi step relaxation scenario. The equilibrium density correlation function is calculated here from the direct solutions of NFH equations for a hard sphere system. We make first detailed investigation for the robustness of the correlation functions obtained from the numerical solutions by varying the size of the grid. For an optimum choice of grid size we analyze the decay of the density correlation function to identify the multi-step relaxation process. Weak signatures of two step power law relaxation is seen with exponents which do not match predictions from the one loop MCT. For the final relaxation stretched exponential (KWW) behavior is seen and the relaxation time grows with increase of density. But apparent power law divergences indicate a critical packing fraction much higher than the corresponding MCT predictions for a hard sphere fluid.

Item Type:Article
Source:Copyright of this article belongs to World Scientific Publishing Co Pte Ltd.
Keywords:Supercooled Liquids; Fluctuating Hydrodynamics; Power Law Relaxations
ID Code:99421
Deposited On:28 Jul 2016 12:30
Last Modified:28 Jul 2016 12:30

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