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

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

2007-01-26

arxiv.org/abs/cond-mat/0701659v2

Phys. Rev. Lett. 98, 140601 (2007)

Physics

Condensed Matter

Soft Condensed Matter

Full-length paragraph added that exemplifies the relevance for dense fluids and makes a connection to recently observed, novel

Scientific paper

10.1103/PhysRevLett.98.140601

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 auto-correlation 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.

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