A Critical Assessment of the Boltzmann Approach for Active Systems

Abstract

Generic models of propelled particle systems posit that the emergence of polar order is driven by the competition between local alignment and noise. Although this notion has been confirmed employing the Boltzmann equation, the range of applicability of this equation remains elusive. We introduce a broad class of mesoscopic collision rules and analyze the prerequisites for the emergence of polar order in the framework of kinetic theory. Our findings suggest that a Boltzmann approach is appropriate for weakly aligning systems but is incompatible with experiments on cluster forming systems.

11 pages, 3 figures

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Cited by in corpus (24)

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• Defect-Mediated Phase Transitions in Active Soft Matter
• Stress reorganisation and response in active solids
• Chapman-Enskog expansion for the Vicsek model of self-propelled particles
• Numerical treatment of the Boltzmann equation for self-propelled particle systems
• Towards a quantitative kinetic theory of polar active matter
• Active matter beyond mean-field: Ring-kinetic theory for self-propelled particles
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• Formation and Dissolution of Bacterial Colonies
• Large density expansion of a hydrodynamic theory for self-propelled particles
• The microscopic phase density functional approach to the construction of the kinetic and hydrodynamic description for the system of self-propelled particles
• Three-body Interactions Drive the Transition to Polar Order in a Simple Flocking Model
• Transport coefficients of self-propelled particles: Reverse perturbations and transverse current correlations
• Transport coefficients of self-propelled particles. II. Numerics for vorticity fluctuations and the reverse perturbation method
• Reply to comment on "Towards a quantitative kinetic theory of polar active matter" by Bertin et al
• Discussion on Peshkov et al., "Boltzmann-Ginzburg-Landau approach for continuous descriptions of generic Vicsek-like models"
• Gaussian theory for spatially distributed self-propelled particles