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NUMBER  
AUTHOR Ha, Seung-Yeal
TITLE EMERGENT BEHAVIORS OF THERMODYNAMIC CUCKER-SMALE PARTICLES
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FILE  
JOURNAL SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2018
ABSTRACT We study the flocking dynamics of a generalized Cucker-Smale (C-S) model for thermodynamic particles. The original C-S model deals with flocking dynamics of mechanical particles, in which the position and momentum are only kinematic observables. Thus, the C-S model cannot describe a phenomenon caused by different "internal energy (temperatures)" between particles. Recently, a new particle model for flocking was proposed to model a flocking dynamics in an ensemble of thermodynamic particles on time-independent communication networks, where spatial dependence in the communication was neglected. In this paper, we extend a thermodynamically consistent particle to incorporate communications depending on the positions of the particle and study its asymptotic dynamics, such as formation and nonexistence of mono-cluster flockings in terms of an initial configuration, coupling strength, and ansatz of the communication weights.
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