Publication Date:
2015-12-02
Description:
Microscopic relaxation time scales are estimated from the autocorrelation functions obtained by dynamic light scattering experiments for Laponite suspensions with different concentrations ( C L ), added salt concentrations ( C S ), and temperatures ( T ). It has been shown in an earlier work [D. Saha, Y. M. Joshi, and R. Bandyopadhyay, Soft Matter 10 , 3292 (2014)] that the evolutions of relaxation time scales of colloidal glasses can be compared with molecular glass formers by mapping the waiting time ( t w ) of the former with the inverse of thermodynamic temperature (1/ T ) of the latter. In this work, the fragility parameter D , which signifies the deviation from Arrhenius behavior, is obtained from fits to the time evolutions of the structural relaxation time scales. For the Laponite suspensions studied in this work, D is seen to be independent of C L and C S but is weakly dependent on T . Interestingly, the behavior of D corroborates the behavior of fragility in molecular glass formers with respect to equivalent variables. Furthermore, the stretching exponent β , which quantifies the width w of the spectrum of structural relaxation time scales, is seen to depend on t w . A hypothetical Kauzmann time t k , analogous to the Kauzmann temperature for molecular glasses, is defined as the time scale at which w diverges. Corresponding to the Vogel temperature defined for molecular glasses, a hypothetical Vogel time t α ∞ is also defined as the time at which the structural relaxation time diverges. Interestingly, a correlation is observed between t k and t α ∞ , which is remarkably similar to that known for fragile molecular glass formers. A coupling model that accounts for the t w -dependence of the stretching exponent is used to analyse and explain the observed correlation between t k and t α ∞ .
Print ISSN:
0021-9606
Electronic ISSN:
1089-7690
Topics:
Chemistry and Pharmacology
,
Physics
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