Phase transitions and macroscopic limits in a BGK model of body-attitude coordination
From MaRDI portal
Publication:2022664
DOI10.1007/s00332-020-09632-xzbMath1475.35348arXiv1905.04885OpenAlexW3100142983MaRDI QIDQ2022664
A. Diez, Amic Frouvelle, Pierre Degond, Sara Merino-Aceituno
Publication date: 29 April 2021
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.04885
Interacting particle systems in time-dependent statistical mechanics (82C22) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Phase transitions (general) in equilibrium statistical mechanics (82B26) Transport processes in time-dependent statistical mechanics (82C70) Animal behavior (92D50)
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Cites Work
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- Global weak solutions for Kolmogorov-Vicsek type equations with orientational interactions
- A local existence of viscous self-organized hydrodynamic model
- Kac's program in kinetic theory
- From Newton to Boltzmann: hard spheres and short-range potentials
- Mean-field limit for the stochastic Vicsek model
- Stability of equilibria of nematic liquid crystalline polymers
- A macroscopic model for a system of swarming agents using curvature control
- A new model for self-organized dynamics and its flocking behavior
- \(N\)-particles approximation of the Vlasov equations with singular potential
- Global existence to the BGK model of Boltzmann equation
- A unified view on the rotational symmetry of equilibiria of nematic polymers, dipolar nematic polymers, and polymers in higher dimensional space
- Propagation of chaos and fluctuations for a moderate model with smooth initial data
- The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
- Stationary solutions to the Boltzmann equation in the hydrodynamic limit
- Global well-posedness of the spatially homogeneous Kolmogorov-Vicsek model as a gradient flow
- Some applications of the Łojasiewicz gradient inequality
- Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations
- Propagation of chaos and moderate interaction for a piecewise deterministic system of geometrically enriched particles
- From microscopic theory to macroscopic theory: a systematic study on modeling for liquid crystals
- Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics
- Coupled self-organized hydrodynamics and Navier-Stokes models: local well-posedness and the limit from the self-organized kinetic-fluid models
- A review of the mean field limits for Vlasov equations
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
- Macroscopic limits and phase transition in a system of self-propelled particles
- State transitions and the continuum limit for a 2D interacting, self-propelled particle system
- Self-alignment driven by jump processes: Macroscopic limit and numerical investigation
- Hydrodynamic Limits of the Kinetic Self-Organized Models
- STOCHASTIC MEAN-FIELD LIMIT: NON-LIPSCHITZ FORCES AND SWARMING
- Global attractor and asymptotic dynamics in the Kuramoto model for coupled noisy phase oscillators
- A law of large numbers for moderately interacting diffusion processes
- A multi-layer model for self-propelled disks interacting through alignment and volume exclusion
- CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION
- The fluid dynamic limit of the nonlinear boltzmann equation
- Time evolution of large classical systems
- From the BGK model to the Navier–Stokes equations
- Quaternions in Collective Dynamics
- Transitions in Active Rotator Systems: Invariant Hyperbolic Manifold Approach
- Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
- A new flocking model through body attitude coordination
- Emergent Behavior in Flocks
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
- Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix
- Global Hilbert expansion for the Vlasov-Poisson-Boltzmann system
