Fig. 5: Characteristics of CRRs. | Nature Communications

Fig. 5: Characteristics of CRRs.

From: Probing excitations and cooperatively rearranging regions in deeply supercooled liquids

Fig. 5: Characteristics of CRRs.The alternative text for this image may have been generated using AI.

Blue shading indicates state points past the mode-coupling crossover. a Van Hove functions for the KA 2:1 system plotted at the temperatures shown. b Number of clusters as a function of the chosen timescale to illustrate how τcrr is determined. τcrr is indicated with the grey line. c Different timescales as a function of the relaxation time. The times of the maximum number of particles in CRRs, τcrr and strings ts are shown. Also shown is t*, the timescale of the maximum of the non-Gaussian parameter for the KA 2:1 and 3:1 systems, as indicated. For the experiments, t* is scaled with a time tf for data collapse. The dashed black line is a plot of \(\tau \sim {\tau }_{\alpha }^{0.8}\). d Fractal dimension of CRRs. Inset experimental measurements of the CRR fractal dimension. Distributions of mobilities of particles in CRRs at the temperatures indicated. e Distributions of mobilities of particles in CRRs at the temperatures indicated. The lengthscale a used to define excitations is indicated with the grey line. f Change of the probability that a particle that is in excitation is also part of a CRR or string with τα.

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