Phase transitions in self-gravitating systems and bacterial populations with a screened attractive potential.
Phase transitions in self-gravitating systems and bacterial populations with a screened attractive potential.
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自引力系统和细菌群体中的相变具有筛选的吸引力潜力。
DOI：
10.1103/physreve.81.051103
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
L. Delfini
中科院分区：
文献类型：
--
作者：
P. Chavanis;L. Delfini
我们考虑一个系统的粒子通过屏蔽牛顿势相互作用，并研究在微正则和正则系综的均匀和非均匀状态之间的相变。对于小屏幕，交互是长距离的。像其他系统的长程相互作用，我们得到了很大的多样性的微正则和正则相变取决于空间的尺寸和屏蔽长度的重要性。我们还考虑了在牛顿相互作用（无屏蔽）中存在“中和背景”的粒子系统。“通过对参数的适当解释，我们的研究描述了（i）宇宙学环境中的自引力系统，以及（ii）原始Keller-Segel模型中细菌种群的趋化性。
We consider a system of particles interacting via a screened Newtonian potential and study phase transitions between homogeneous and inhomogeneous states in the microcanonical and canonical ensembles. For small screenings, the interaction is long range. Like for other systems with long-range interactions, we obtain a great diversity of microcanonical and canonical phase transitions depending on the dimension of space and on the importance of the screening length. We also consider a system of particles in Newtonian interaction (without screening) in the presence of a "neutralizing background." By a proper interpretation of the parameters, our study describes (i) self-gravitating systems in a cosmological setting, and (ii) chemotaxis of bacterial populations in the original Keller-Segel model.