Effects of short-range attraction on Jamming transition

doi:10.1088/1674-1056/abefc5

中国物理B ›› 2021, Vol. 30 ›› Issue (6): 66101-066101.doi: 10.1088/1674-1056/abefc5

Effects of short-range attraction on Jamming transition

Zhenhuan Xu(徐震寰)¹, Rui Wang(王瑞)¹, Jiamei Cui(崔佳梅)¹, Yanjun Liu(刘彦君)¹, and Wen Zheng(郑文)^1,2,†

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

收稿日期:2021-01-17 修回日期:2021-03-03 接受日期:2021-03-18 出版日期:2021-05-18 发布日期:2021-05-20
通讯作者: Wen Zheng E-mail:zhengwen@tyut.edu.cn
基金资助:
Project 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), and the National Key Research and Development Project of China.

Effects of short-range attraction on Jamming transition

Zhenhuan Xu(徐震寰)¹, Rui Wang(王瑞)¹, Jiamei Cui(崔佳梅)¹, Yanjun Liu(刘彦君)¹, and Wen Zheng(郑文)^1,2,†

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

Received:2021-01-17 Revised:2021-03-03 Accepted:2021-03-18 Online:2021-05-18 Published:2021-05-20
Contact: Wen Zheng E-mail:zhengwen@tyut.edu.cn
Supported by:
Project 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), and the National Key Research and Development Project of China.

摘要/Abstract

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 p_j to 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

Abstract: 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 p_j to 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.

Key words: short-range attraction, Jamming transition, short-range attraction susceptibility

中图分类号: (Structural modeling: serial-addition models, computer simulation)

61.43.Bn

63.50.Lm (Glasses and amorphous solids) 61.43.-j (Disordered solids)

Zhenhuan Xu(徐震寰), Rui Wang(王瑞), Jiamei Cui(崔佳梅), Yanjun Liu(刘彦君), and Wen Zheng(郑文). Effects of short-range attraction on Jamming transition[J]. 中国物理B, 2021, 30(6): 66101-066101.

Zhenhuan Xu(徐震寰), Rui Wang(王瑞), Jiamei Cui(崔佳梅), Yanjun Liu(刘彦君), and Wen Zheng(郑文). Effects of short-range attraction on Jamming transition[J]. Chin. Phys. B, 2021, 30(6): 66101-066101.

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Effects of short-range attraction on Jamming transition

Effects of short-range attraction on Jamming transition

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