A mean-field limit of the particle swarmalator model
Seung-Yeal Ha, Jinwook Jung, Jeongho Kim, Jinyeong Park, Xiongtao Zhang
Abstract
We present a mean-field limit of the particle swarmalator model introduced in [46] with singular communication weights. For a mean-field limit, we employ a probabilistic approach for the propagation of molecular chaos and suitable cut-offs in singular terms, which results in the validation of the meanfield limit. We also provide a local-in-time well-posedness of strong and weak solutions to the derived kinetic swarmalator equation.
Topics & Concepts
Limit (mathematics)Mean field theoryStatistical physicsProbabilistic logicField (mathematics)PhysicsParticle (ecology)MathematicsMathematical analysisStatisticsQuantum mechanicsGeologyPure mathematicsOceanographyAdvanced Thermodynamics and Statistical MechanicsNonlinear Dynamics and Pattern Formationstochastic dynamics and bifurcation