Flocking and Thermodynamical Cucker-Smale Model

Tommaso Ruggeri and Masaru Sugiyama
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Tommaso Ruggeri: University of Bologna, Department of Mathematics and Research Center on Applied Mathematics
Masaru Sugiyama: Nagoya Institute of Technology

Chapter Chapter 30 in Classical and Relativistic Rational Extended Thermodynamics of Gases, 2021, pp 591-596 from Springer

Abstract: Abstract We present a thermodynamically consistent particle (TCP) model motivated by the theory of multi-temperature mixture of fluids in the spatially homogeneous case. The model incorporates the Cucker-Smale (C-S) Cucker, F. Smale, S. type flocking model as its isothermal approximation. It is more complex than the C-S model, because the mutual interactions are not only “mechanical” but also “thermal”. That is, the interactions are also affected by the “temperature effect” because individual particles may exhibit distinct internal energies. We develop a framework for asymptotic weak and strong flocking in the context of the proposed model.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-59144-1_30

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DOI: 10.1007/978-3-030-59144-1_30

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