Molecular Dynamics Study of Orientational Cooperativity in Water
arXiv:cond-mat/0510646 · doi:10.1103/PhysRevE.73.041505
Abstract
Recent experiments on liquid water show collective dipole orientation fluctuations dramatically slower then expected (with relaxation time 50 ns) [D. P. Shelton, Phys. Rev. B {\bf 72}, 020201(R) (2005)]. Molecular dynamics simulations of SPC/E water show large vortex-like structure of dipole field at ambient conditions surviving over 300 ps [J. Higo at al. PNAS, {\bf 98} 5961 (2001)]. Both results disagree with previous results on water dipoles in similar conditions, for which autocorrelation times are a few ps. Motivated by these recent results, we study the water dipole reorientation using molecular dynamics simulations in bulk SPC/E water for temperatures ranging from ambient 300 K down to the deep supercooled region of the phase diagram at 210 K. First, we calculate the dipole autocorrelation function and find that our simulations are well-described by a stretched exponential decay, from which we calculate the {\it orientational autocorrelation time} . Second, we define a second characteristic time, namely the time required for the randomization of molecular dipole orientation, the {\it self-dipole randomization time} , which is an upper limit on ; we find that . Third, to check if there are correlated domains of dipoles in water which have large relaxation times compared to the individual dipoles, we calculate the randomization time of the site-dipole field, the net dipole moment formed by a set of molecules belonging to a box of edge . We find that the {\it site-dipole randomization time} for Å, i.e. it is shorter than the same quantity calculated for the self-dipole. Finally, we find that the orientational correlation length is short even at low .
arXiv comment25 Pages, 10 figures
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