Crossover in the Slow Decay of Dynamic Correlations in the Lorentz Model

@article{citeulike:2800802, abstract = {The long-time behavior of transport coefficients in a model for spatially heterogeneous media in two and three dimensions is investigated by molecular dynamics simulations. The behavior of the velocity autocorrelation function is rationalized in terms of a competition of the critical relaxation due to the underlying percolation transition and the hydrodynamic power-law anomalies. In two dimensions and in the absence of a diffusive mode, another power-law anomaly due to trapping is found with an exponent -3 instead of -2. Further, the logarithmic divergence of the Burnett coefficient is corroborated in the dilute limit; at finite density, however, it is dominated by stronger divergences.}, author = {H\"{o}fling, Felix and Franosch, Thomas }, citeulike-article-id = {2800802}, doi = {10.1103/PhysRevLett.98.140601}, journal = {Physical Review Letters}, keywords = {longtimetail, randommatrix, simulation}, pages = {140601+}, posted-at = {2008-05-15 07:18:52}, priority = {0}, title = {Crossover in the Slow Decay of Dynamic Correlations in the Lorentz Model}, url = {http://dx.doi.org/10.1103/PhysRevLett.98.140601}, volume = {98}, year = {2007} }

TY - JOUR ID - citeulike:2800802 L3 - citeulike-article-id:2800802 TI - Crossover in the Slow Decay of Dynamic Correlations in the Lorentz Model JF - Physical Review Letters VL - 98 SP - 140601 N2 - The long-time behavior of transport coefficients in a model for spatially heterogeneous media in two and three dimensions is investigated by molecular dynamics simulations. The behavior of the velocity autocorrelation function is rationalized in terms of a competition of the critical relaxation due to the underlying percolation transition and the hydrodynamic power-law anomalies. In two dimensions and in the absence of a diffusive mode, another power-law anomaly due to trapping is found with an exponent -3 instead of -2. Further, the logarithmic divergence of the Burnett coefficient is corroborated in the dilute limit; at finite density, however, it is dominated by stronger divergences. KW - longtimetail KW - randommatrix KW - simulation AU - H\"{o}fling, Felix AU - Franosch, Thomas PY - 2007/// UR - http://dx.doi.org/10.1103/PhysRevLett.98.140601 ER -