Abstract
The phase behavior of hard-sphere colloidal systems in the volume fraction regime 0.46<ϕ<0.64 has been studied in detail using a new and efficient algorithm to treat the nonanalytic interaction pair potential. In particular the influence of various initial configurations such as purely random and facecentered cubic (FCC) has been investigated, and former simulations have been extended toward much longer time scales. Thus, in the case of randomly initiated systems, crystallization could be suppressed for a comparably long time (≈500 τ R , where τ R is the structural relaxation time) where the system remained in a metastable glassy state. The concentration dependence of the long-time self-diffusion coefficients of these systems has been analyzed according to free volume theory (Doolittle equation). Numerical data fit excellently to the theoretical predictions, and the volume fraction of zero particle mobility was found close to the expected value of random close packing. In case of the FCC initiated systems, samples remained crystalline within the simulated evolution time of ∼500 τ R if their volume fraction was above the predicted freezing transitionφ F = 0.494, whereas at lower concentrations rapid melting into a fluidlike disordered state is observed. It should be noted that this algorithm, which neglects higher-order correlations, considering only direct pair interactions, nevertheless yields the correct hard-sphere crystallization phase behavior as predicted in the literature.
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Schaertl, W. Brownian dynamics of colloidal hard spheres. 3. Extended investigations at the phase transition regime. J Stat Phys 79, 299–312 (1995). https://doi.org/10.1007/BF02179391
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DOI: https://doi.org/10.1007/BF02179391