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7
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85033039141
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note
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relax≈0.34 ps. This is consistent with some limits quoted in text above, although we will argue that the longer experimental time (≈8 ps) is most likely correct. However, a hard sphere collision picture is not plausible in a hydrogen-bonded liquid (Ref. 10), as noted in the Introduction.
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11
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85033050087
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note
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Since vibrational energy relaxation is a nonadiabatic process, in principle it might also be studied via more general surface-hopping methodologies for a quantum solute in a classical solvent (at the wave function level see e.g. Ref. 17 and references therein; at the density matrix level, see e.g. Ref. 18 and references therein). Applications of these to date have however been restricted to simulation times of a few hundred femtoseconds, while the present problem deals with times of order 10 ps (the work in Ref. 19 is of interest in this connection).
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20
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85033037015
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note
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Fixed classical field Monte Carlo simulations for liquid water have been used to study the vibrational frequency spectrum, as opposed to vibrational energy relaxation, in Ref. 20. It is interesting to note that the dynamical effect of the solvent on the spectrum is better accounted for in MD simulations (methodologically equivalent to the ones performed in this work) rather than in Monte Carlo sampling (Ref. 21).
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3643101373
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36
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85033065551
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Thus, the coupling Eq. 2.3 allows for a change in the angular momentum of the HOD arising from torques related to the vibrational motion
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Thus, the coupling Eq. 2.3 allows for a change in the angular momentum of the HOD arising from torques related to the vibrational motion.
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37
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0003882080
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edited by F. Franks Plenum, New York, Chap. 2
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C.W. Kem and M. Karplus, in Water: A Comprehensive Treatise, edited by F. Franks (Plenum, New York, 1972), Vol. 1, Chap. 2.
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85033053138
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In Ref. 36
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(b) In Ref. 36
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46
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85033072423
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note
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it has been shown that the two step algorithm used here has some effects on time correlation functions, due to energy nonconservation effects, for a ratio of 10 for the two time steps. Such effects are not expected to be significant in the present work due to the small ratio of 3, the present use of averaging over initial configurations, and the present inclusion of velocity scaling in the constant temperature simulation. For example, there are difficulties with the mean kinetic energy in the study of Ref. 36(c), but the correct mean kinetic energy is found in the present work;
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50
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33750587438
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Haak, J.R.5
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52
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0003474751
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Cambridge University, Cambridge
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W.H. Press, B.P. Flannery, S.A. Teukolsky, and W.T. Vetterling, Numerical Recipes: The Art of Scientific Computing, 2nd ed. (Cambridge University, Cambridge, 1992).
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54
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85033041618
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3Cl relaxation studies of Ref. 10
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3Cl relaxation studies of Ref. 10.
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57
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85033046722
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note
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-1. This high frequency would tend to overemphasize the importance of the O-O vibration as an accepting mode, compared to alternative libration/hindered rotational modes (Ref. 50).
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58
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36549098617
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E.J. Heilweil, M.P. Casassa, R.R. Cavanagh, and J.C. Stephenson, J. Chem. Phys. 81, 2856 (1984).
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