Theoretical Study on Spatial and Temporal Heterogeneous Dynamics in Condensed Phases

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We have been investigating fluctuations and relaxations in spatial and temporal heterogeneous dynamics. We developed a first-principal method to calculate third-order nonlinear spectroscopy. We resolved the fluctuations and energy relaxation dynamics intermolecular dynamics of liquid water and ice and presented a molecular picture for the intermolecular dynamics in water which have been observed in recent experiments. We investigated heterogeneous dynamics by means of three-time correlation functions. As a result, it was revealed that the newly introduced three-time correlation function is sensitive to the heterogeneous dynamics and couplings of correlated motions over a wide range of time scales which are hidden in the conventional two-time correlation functions. In addition to these studies, we studied the anomalous temperature dependence of constant pressure heat capacity, C_P, of water by using the complex heat capacity calculated from molecular dynamics simulation. The present study revealed the spatial and temporal energy fluctuation that produces sudden increase in C_P with decreasing temperature.