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Self-Propelled Particles with Fluctuating Speed and Direction of Motion in Two Dimensions

✍ Scribed by Peruani, Fernando; Morelli, Luis G.

Book ID
120831811
Publisher
The American Physical Society
Year
2007
Tongue
English
Weight
198 KB
Volume
99
Category
Article
ISSN
0031-9007

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Critical mass of bacterial populations a
Critical mass of bacterial populations and critical temperature of self-gravitating Brownian particles in two dimensions
✍ Pierre-Henri Chavanis 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 325 KB

We show that the critical mass M c ¼ 8p of bacterial populations in two dimensions in the chemotactic problem is the counterpart of the critical temperature T c ¼ GMm=4k B of self-gravitating Brownian particles in two-dimensional gravity. We obtain these critical values by using the Virial theorem o