Time-dependent perpendicular fluctuations in the driven lattice Lorentz gas.

We present results for the fluctuations of the displacement of a tracer particle on a planar lattice pulled by a step force in the presence of impenetrable, immobile obstacles. The fluctuations perpendicular to the applied force are evaluated exactly in first order of the obstacle density for arbitrarily strong pulling and all times. The complex time-dependent behavior is analyzed in terms of the diffusion coefficient, local exponent, and the non-Skellam parameter, which quantifies deviations from the dynamics on the lattice in the absence of obstacles. The non-Skellam parameter along the force is analyzed in terms of an asymptotic model and reveals a power-law growth for intermediate times.

• Publication year

  2017

• Venue

  Physical Review E

• Publication date

  2017-11-21

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevE.97.022101arXiv 1711.07774PMID 29548093
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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