A mesoscopic field theoretical approach for active systems

Abstract

We introduce a mesocopic modeling approach for active systems. The continuum model allows to consider microscopic details as well as emerging macroscopic behavior and can be considered as a minimal continuum model to describe generic properties of active systems with isotropic agents. The model combines aspects from phase field crystal (PFC) models and Toner-Tu models. The results are validated by reproducing results obtained with corresponding agent-based microscopic models. We consider binary collisions, collective motion and vortex formation. For larger numbers of particles we analyze the coarsening process in active crystals and identify giant number fluctuation in the cluster formation process.

14 pages, 8 figures

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Cited by in corpus (26)

• Classical dynamical density functional theory: from fundamentals to applications
• Self-Aligning Polar Active Matter
• Active crystals on a sphere
• Active nonreciprocal attraction between motile particles in an elastic medium
• Oriented Active Solids
• Predictive local field theory for interacting active Brownian spheres in two spatial dimensions
• Collective dynamics of active Brownian particles in three spatial dimensions: a predictive field theory
• Coarse-grained modeling of crystals by the amplitude expansion of the phase-field crystal model: an overview
• Chiral active hexatics: Giant number fluctuations, waves and destruction of order
• Multiphase field models for collective cell migration
• Two-dimensional localized states in an active phase-field-crystal model
• Jerky active matter: a phase field crystal model with translational and orientational memory
• A microscopic field theoretical approach for binary mixtures of active and passive particles
• Extreme Spontaneous Deformations of Active Crystals
• Topological and geometrical quantities in active cellular structures
• Derivation and analysis of a phase field crystal model for a mixture of active and passive particles
• Defect dynamics in active smectics induced by confining geometry and topology
• Flocking of Active Particles in a Turbulent Flow
• Aster Swarming by Collective Mechanics of Dyneins and Kinesins
• Active smectics on a sphere
• Collective excitations in active solids featuring alignment interactions
• Anti-hyperuniform Critical States of Active Topological Defects
• Spontaneous collective transport in a heat--bath
• Motility-induced crystallization and rotating crystallites
• Effects of cell elasticity on the migration behavior of a monolayer of motile cells: Sharp Interface Model
• A Field-Theoretic Model for Chemotaxis in Run and Tumble Particles