Diffusion coefficient of piecewise linear maps

研究成果: Article同行評審

10 引文 斯高帕斯(Scopus)

摘要

By using the cycle expansion, we obtain general expressions for the determination of the diffusion coefficient D of a piecewise linear map which is parametrized by k and h (where the map contains 2k+5 branches of line segment, and h is the height of the shortest line). By restricting h=β/m [β=1,...,(k+1)/2; m is the slope of the map], a closed form expression of D can be obtained and some of its consequences are discussed. The limiting form of D (k→) is then shown to be k2. For the simplest case with k=1, we also show that more exact results can be found. A limiting case with h→0 is discussed where agreement with the result obtained from the invariant measure approach is established.

原文English
頁(從 - 到)2815-2822
頁數8
期刊Physical Review E
51
發行號4
DOIs
出版狀態Published - 1995

All Science Journal Classification (ASJC) codes

  • 統計與非線性物理學
  • 統計與概率
  • 凝聚態物理學

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