Critical dynamics of ballistic and Brownian particles in a heterogeneous environment.

@article{Hfling2007CriticalDO,
  title={Critical dynamics of ballistic and Brownian particles in a heterogeneous environment.},
  author={Felix H{\"o}fling and Tobias Munk and Erwin Frey and Thomas Franosch},
  journal={The Journal of chemical physics},
  year={2007},
  volume={128 16},
  pages={
          164517
        }
}
The dynamic properties of a classical tracer particle in a random, disordered medium are investigated close to the localization transition. For Lorentz models obeying Newtonian and diffusive motion at the microscale, we have performed large-scale computer simulations, demonstrating that universality holds at long times in the immediate vicinity of the transition. The scaling function describing the crossover from anomalous transport to diffusive motion is found to vary extremely slowly and… 

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References

SHOWING 1-10 OF 76 REFERENCES

Crossover in the slow decay of dynamic correlations in the lorentz model.

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 and the logarithmic divergence of the Burnett coefficient is corroborated in the dilute limit.

Transport properties of stochastic Lorentz models

Diffusion processes are considered for one-dimensional stochastic Lorentz models, consisting of randomly distributed fixed scatterers and one moving light particle. In waiting time Lorentz models the

Event-driven Brownian dynamics for hard spheres.

The authors discuss a general method for the overdamped Brownian dynamics of hard spheres, recently developed by one of the authors, and test the accuracy of the algorithm and its convergence for a number of analytically tractable test cases.

Simulation of self-diffusion of point-like and finite-size tracers in stochastically reconstructed Vycor porous glasses

Aim of the present study is to simulate self-diffusion in three-dimensional images of reconstructed Vycor porous glass, which have the same statistical content as the actual material in terms of

Properties of the density relaxation function in classical diffusion models with percolation transition

The relation between the density relaxation function Phi and the pair connectedness is shown. Static and dynamical scaling for Phi and quantities related to it are derived from percolation scaling

Diffusion of finite‐sized Brownian particles in porous media

The effective diffusion coefficient De for porous media composed of identical obstacles of radius R in which the diffusing particles have finite radius βR (β≥0) is determined by an efficient Brownian

Static and dynamic heterogeneities in a model for irreversible gelation.

In the sol phase close to the percolation threshold, it is found that this dynamic susceptibility increases with the time until it reaches a plateau, and an alternative way of measuring critical exponents in a system undergoing chemical gelation is suggested.

Localization transition of the three-dimensional lorentz model and continuum percolation.

A coherent and quantitative explanation of the dynamics in terms of continuum percolation theory is given and an excellent matching of the critical density and exponents is obtained.
...