2009
DOI: 10.1590/s0103-97332009000400017
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q-exponential distribution in time correlation function of water hydrogen bonds

Abstract: In a series of molecular dynamics simulations we analyzed structural and dynamics properties of water at different temperatures (213 K to 360 K), using the Simple Point Charge-Extended (SPC/E) water. We detected a q-exponential behavior in the history-dependent bond correlation function of hydrogen bonds. We found that q increases with T −1 below approximately 300 K and is correlated to the increase of the tetrahedral structure of water and the subdiffusive motion of the molecules.

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Cited by 5 publications
(6 citation statements)
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“…In a previous work, we found a q-exponential behavior in P (t), in which q increases with T −1 approximately below 300 K. q(T ) is also correlated with the probability of occurrence of four hydrogen bonds, and the subdiffusive motion of the water molecules [28].…”
Section: Introductionmentioning
confidence: 70%
“…In a previous work, we found a q-exponential behavior in P (t), in which q increases with T −1 approximately below 300 K. q(T ) is also correlated with the probability of occurrence of four hydrogen bonds, and the subdiffusive motion of the water molecules [28].…”
Section: Introductionmentioning
confidence: 70%
“…(1) has been employed in a growing number of theoretical and empirical works on a large variety of themes. Examples include scale-free networks [10][11][12][13][14], dynamical systems [15][16][17][18][19][20][21][22][23][24][25][26][27], algebraic structures [28][29][30][31] among other topics in statistical physcics [32][33][34][35][36].…”
Section: Q-exponential Distributionmentioning
confidence: 99%
“…As is expected, the average structural behavior of the water molecules in the simulation system at infinite dilution is not affected by what occurs around QU. Both RDFs of OW around OW and HBs between water molecules distribution are the expected for SPC/E water model at the values of the thermodynamics variables [69,96,110]. However, when the concentration of QU increases and aggregates are formed, there is a decrease in the formation of HBs and the gradual breakdown of the tetrahedral structure of water on average throughout the simulated system.…”
Section: Discussionmentioning
confidence: 57%
“…So, both D eff (t) of systems II and III have values smaller than that of system I, and they have an asymptotic decay for large M(t)s. The QU aggregates of systems II and III, which impede the random displacement of water molecules, produce this change in the behavior of the D eff (t) with increasing QU concentration. It is an incipient subdiffusive behavior already observed in simulated systems such as, among others, water molecules confined in soft environments [86] and subcooled water [110]. Water molecules have a caging behavior remaining temporarily trapped in regions located between aggregates under a subdiffusive regime because the possibility of random movement decreases significantly.…”
Section: Discussionmentioning
confidence: 82%