Diffusion of particles bouncing on a one-dimensional periodically corrugated floor

T. Harayama, P. Gaspard

研究成果: Article査読

27 被引用数 (Scopus)

抄録

We report on a class of spatially extended mechanical systems sustaining a transport process of diffusive type. These systems consist of a point particle subject to a constant vertical acceleration and bouncing on a one-dimensional periodically corrugated floor. We show that the deterministic dynamics of these systems is chaotic with small elliptic islands for many parameter values. The motion of particles perturbed by a small noise has a horizontal diffusion that is normal. In such a case, we show that the diffusion coefficient oscillates periodically as the energy of particles increases. In the absence of noise, there still exists an effective numerical value for the diffusion coefficient and this value has an irregular dependence on energy.

本文言語English
論文番号036215
ページ(範囲)362151-3621516
ページ数3259366
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
64
3
DOI
出版ステータスPublished - 2001 9月
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学

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