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Analytic study of clustering in shaken granular material using zero-range processes

2004/07/31 by János Török, Janos Torok
Computer Science · Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Cluster analysis #Composite material #Engineering #Forensic engineering #Granular flow and fluidized beds #Image Processing and 3D Reconstruction #Landslides and related hazards #Materials science #Mathematics #Philosophy #Physics #Range (aeronautics) #Statistical physics #Statistics #Zero (linguistics) #cond-mat.soft

paper · pdf · doi:10.1016/j.physa.2005.03.024

4 pages, 3 figures submitted to PRE

arxiv created 2004/10/22 · openalex publication_date 2005/05/12 · arxiv updated 2015/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that models used to described granular clustering due to vertical shaking belong to the class of zero-range processes. This correspondence allows us to derive exactly in a very easy and straightforward manner a number of properties of the models like particle distribution functions, phase diagram, and characteristic time of clusterization.

Citations