Exact solution of a one dimensional deterministic sandpile model
學年 83
學期 2
出版（發表）日期 1995-06-01
作品名稱 Exact solution of a one dimensional deterministic sandpile model
作品名稱（其他語言）
著者 Chang, D.; Lee, Shin-chang; Tzeng, Wen-jer
單位 淡江大學物理學系
出版者 College Park: American Physical Society
著錄名稱、卷期、頁數 Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics) 51(6), pp.5515-5519
摘要 Using the transfer matrix method, we give the exact solution of a deterministic sandpile model for arbitrary $N$, where $N$ is the size of a single toppling. The one- and two-point functions are given in term of the eigenvalues of an $N \times N$ transfer matrix. All the n-point functions can be found in the same way. Application of this method to a more general class of models is discussed. We also present a quantitative description of the limit cycle (attractor) as a multifractal.
關鍵字
語言 en
ISSN 1063-651X
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度
國別 USA
公開徵稿
出版型式 紙本
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