Discontinuous and continuous transitions of collective behaviors in living systems

doi:10.1088/1674-1056/ac3c3f

中国物理B ›› 2021, Vol. 30 ›› Issue (12): 128703-128703.doi: 10.1088/1674-1056/ac3c3f

Discontinuous and continuous transitions of collective behaviors in living systems

Xu Li(李旭)^1,2,†, Tingting Xue(薛婷婷)^1,†, Yu Sun(孙宇)², Jingfang Fan(樊京芳)^1,2, Hui Li(李辉)^1,2, Maoxin Liu(刘卯鑫)³, Zhangang Han(韩战钢)¹, Zengru Di(狄增如)^1,2, and Xiaosong Chen(陈晓松)^1,2,‡

1 School of Systems Science, Beijing Normal University, Beijing 100878, China;
2 Institute of Nonequilibrium Systems, Beijing Normal University, Beijing 100878, China;
3 School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

收稿日期:2021-11-16 修回日期:2021-11-22 接受日期:2021-11-23 出版日期:2021-11-15 发布日期:2021-11-30
通讯作者: Xiaosong Chen E-mail:chenxs@bnu.edu.cn
基金资助:
Project supported by the Fundamental Research Funds for the Central Universities, China (Grant No. 2019XD-A10) and the National Natural Science Foundation of China (Grant No. 71731002).

Discontinuous and continuous transitions of collective behaviors in living systems

1 School of Systems Science, Beijing Normal University, Beijing 100878, China;
2 Institute of Nonequilibrium Systems, Beijing Normal University, Beijing 100878, China;
3 School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received:2021-11-16 Revised:2021-11-22 Accepted:2021-11-23 Online:2021-11-15 Published:2021-11-30
Contact: Xiaosong Chen E-mail:chenxs@bnu.edu.cn
Supported by:
Project supported by the Fundamental Research Funds for the Central Universities, China (Grant No. 2019XD-A10) and the National Natural Science Foundation of China (Grant No. 71731002).

摘要/Abstract

摘要： Living systems are full of astonishing diversity and complexity of life. Despite differences in the length scales and cognitive abilities of these systems, collective motion of large groups of individuals can emerge. It is of great importance to seek for the fundamental principles of collective motion, such as phase transitions and their natures. Via an eigen microstate approach, we have found a discontinuous transition of density and a continuous transition of velocity in the Vicsek models of collective motion, which are identified by the finite-size scaling form of order-parameter. At strong noise, living systems behave like gas. With the decrease of noise, the interactions between the particles of a living system become stronger and make them come closer. The living system experiences then a discontinuous gas-liquid like transition of density. The even stronger interactions at smaller noise make the velocity directions of the particles become ordered and there is a continuous phase transition of collective motion in addition.

关键词: living systems, phase emergence, phase transitions, eigen mircostate

Abstract: Living systems are full of astonishing diversity and complexity of life. Despite differences in the length scales and cognitive abilities of these systems, collective motion of large groups of individuals can emerge. It is of great importance to seek for the fundamental principles of collective motion, such as phase transitions and their natures. Via an eigen microstate approach, we have found a discontinuous transition of density and a continuous transition of velocity in the Vicsek models of collective motion, which are identified by the finite-size scaling form of order-parameter. At strong noise, living systems behave like gas. With the decrease of noise, the interactions between the particles of a living system become stronger and make them come closer. The living system experiences then a discontinuous gas-liquid like transition of density. The even stronger interactions at smaller noise make the velocity directions of the particles become ordered and there is a continuous phase transition of collective motion in addition.

Key words: living systems, phase emergence, phase transitions, eigen mircostate

中图分类号: (General theory and mathematical aspects)

87.10.-e

05.70.Fh (Phase transitions: general studies) 64.60.Ht (Dynamic critical phenomena) 89.75.-k (Complex systems)

Xu Li(李旭), Tingting Xue(薛婷婷), Yu Sun(孙宇), Jingfang Fan(樊京芳), Hui Li(李辉), Maoxin Liu(刘卯鑫), Zhangang Han(韩战钢), Zengru Di(狄增如), and Xiaosong Chen(陈晓松). Discontinuous and continuous transitions of collective behaviors in living systems[J]. 中国物理B, 2021, 30(12): 128703-128703.

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Discontinuous and continuous transitions of collective behaviors in living systems

Discontinuous and continuous transitions of collective behaviors in living systems

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