{'fraction_non_alphanumeric': 0.025660377358490565, 'fraction_numerical': 0.0015094339622641509, 'mean_word_length': 5.663316582914573, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Quantum theory of transient transport in an interacting system of electrons, impurities, and phonons.

Using the Green's-function approach to steady-state nonlinear transport recently developed for an interacting system of electrons, impurities, and phonons, we obtain, in the linear approximation, a generalized Langevin equation for the current operator. From this equation, the time-dependent current, the current fluctuation, the noise associated with both current and voltage fluctuations, and the time-dependent diffusion constant are explicitly derived and are cast into numerically tractable forms. All of the involved correlation and retarded Green's functions are obtained microscopically without ad hoc assumptions as is usually done in a conventional Langevin treatment of the motion of a Brownian particle. In the classical and high-temperature limits, all the above-mentioned quantities can be evaluated analytically. They reduce exactly to the well-known results in the existing literature. The numerical results of the transient currents obtained from the quantum and the classical limits are presented and compared at (1) zero temperature for a two-dimensional interacting electron system with charged impurities and (2) high temperature for a three-dimensional electron system with nonpolar optical phonons.