Effects of short-range attraction on Jamming transition  

作　　者：Zhenhuan Xu Rui Wang Jiamei Cui Yanjun Liu Wen Zheng 徐震寰;王瑞;崔佳梅;刘彦君;郑文(Institute of Public-safety and Big Data,College of Data Science,Taiyuan University of Technology,Taiyuan 030060,China;Center for Big Data Research in Health,Changzhi Medical College,Changzhi 046000,China)

机构地区：[1]Institute of Public-safety and Big Data,College of Data Science,Taiyuan University of Technology,Taiyuan 030060,China [2]Center for Big Data Research in Health,Changzhi Medical College,Changzhi 046000,China

出　　处：《Chinese Physics B》2021年第6期409-413,共5页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 11702289);Key Core Technology and Generic Technology Research and Development Project of Shanxi Province,China (Grant No. 2020XXX013);the National Key Research and Development Project of China。

摘　　要：Enormous progresses to understand the jamming transition have been driven via simulating purely repulsive particles which were somehow idealized in the past two decades. While the attractive systems are both theoretical and practical compared with repulsive systems. By studying the statistics of rigid clusters, we find that the critical packing fraction φ_(c) varies linearly with attraction μ for different system sizes when the range of attraction is short. While for systems with long-range attractions, however, the slope of φ_(c) appears significantly different, which means that there are two distinct jamming scenarios. In this paper, we focus our main attention on short-range attractions scenario and define a new quantity named "short-range attraction susceptibility" χ_(p), which describes the degree of response of the probability of finding jammed states pjto short-range attraction strength μ. Our central results are that χ_(p) diverges in the thermodynamic limit as χ_(p) ∝|φ-φ_(c)^(∞)|^(-γ_(p)), where φ_(c)^(∞) is the packing fraction at the jamming transition for the infinite system in the absence of attraction. χ_(p) obeys scaling collapse with a scaling function in both two and three dimensions, illuminating that the jamming transition can be considered as a phase transition as proposed in previous work.

关 键 词：short-range attraction Jamming transition short-range attraction susceptibility 

分 类 号：O552[理学—热学与物质分子运动论]