Relativistic Mixture of Gases and Relativistic 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 32 in Classical and Relativistic Rational Extended Thermodynamics of Gases, 2021, pp 607-616 from Springer

Abstract: Abstract We present in this chapter a relativistic model of a mixture of Euler gases with multi-temperature. We explicitly determine the production terms resulting from the interchange of energy-momentum between the components by using the entropy principle. We use the analogy between the homogeneous case of a mixture of gases and the thermo-mechanical Cucker-Smale (TCS) flocking model in a classical setting to derive a relativistic counterpart of the TCS model. Moreover, we employ a theory of principal subsystem to derive the relativistic Cucker-Smale (CS) model. Then we provide a sufficient framework leading to the exponential flocking in terms of communication weights. We also show that the relativistic CS model reduces to the classical CS model when the speed of light tends to infinity in any finite-time interval.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-59144-1_32

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DOI: 10.1007/978-3-030-59144-1_32

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