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Cooperative dynamic and diffusion behavior above and below the dynamical crossover of supercooled water
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View: Figures


Image of FIG. 1.
FIG. 1.

(a) Multi-scale displacement analysis for different temperatures ranging from 270 K to 225 K. The color scale represents the probability of a displacement at a particular time scale. Normalization is at each time scale. The solid black line represents the mean square displacement. (b) Relaxation times as a function of temperatures. Symbols are as follows: τ (black circles), τ (green diamonds), τ* (blue triangles), and τ (red squares). Lines help to indicate the fragile (dashed double dot) and strong (dashed) behavior fitted on τ data. The error bars are smaller than the size of the symbols. (c) MDA at = 230 K, dashed lines represent different relaxation times as indicated in the inset caption. Colors of dashed lines in (c) are as follows: τ (black), τ (green), τ* (blue), and τ (red).

Image of FIG. 2.
FIG. 2.

Hydrogen bond correlation function (τ), cage correlation function (τ), non-Gaussian parameter α(τ), and Shannon entropy (τ) as a function of time interval τ calculated at 260 K (black) and 230 K (red).

Image of FIG. 3.
FIG. 3.

Distribution of displacements at τ = τ, the time of the maximum Shannon entropy of the distribution of displacements for different temperatures.

Image of FIG. 4.
FIG. 4.

Multi-scale displacement analysis (MDA) at τ = τ for the TIP4P-Ew model at = 200 K and 240 K.

Image of FIG. 5.
FIG. 5.

Connection between the dynamical heterogeneity and the cooperative behavior of 230 K and 260 K TIP5P-Ew model as a function of normalized time (). (a) Cage diameter vs normalized time for each molecule in the system. (b) Mean cage diameter size ⟨⟩. (c) Mean weighted mobile cluster size ⟨()⟩. (d) Number of mobile clusters .


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Cooperative dynamic and diffusion behavior above and below the dynamical crossover of supercooled water