On the spontaneous collective motion of active matter

Abstract

Spontaneous directed motion, a hallmark of cell biology, is unusual in classical statistical physics. Here we study, using both numerical and analytical methods, organized motion in models of the cytoskeleton in which constituents are driven by energy-consuming motors. While systems driven by small-step motors are described by an effective temperature and are thus quiescent, at higher order in step size, both homogeneous and inhomogeneous, flowing and oscillating behavior emerges. Motors that respond with a negative susceptibility to imposed forces lead to an apparent negative-temperature system in which beautiful structures form resembling the asters seen in cell division.

17 pages, 5 figures (2 supplementary figures)

References in corpus (5)

• Generic phase diagram of active polar films
• Effective temperature and glassy dynamics of active matter
• Instabilities and Oscillations in Isotropic Active Gels
• The Interplay of Nonlinearity and Architecture in Equilibrium Cytoskeletal Mechanics
• Statistical Mechanics of a Cat's Cradle

Cited by in corpus (22)

• Collective motion
• Nonequilibrium Physics in Biology
• Living clusters and crystals from low density suspensions of active colloids
• The Effective Temperature Concept Tested in an Active Colloid Mixture
• Active contractility in actomyosin networks
• Stochastic thermodynamics of active Brownian particles
• Dynamics of a homogeneous active dumbbell system
• On the Fluctuation-Dissipation Relation in non-equilibrium and non-Hamiltonian systems
• Tensegrity and Motor-Driven Effective Interactions in a Model Cytoskeleton
• Infinite family of second-law-like inequalities
• Non-equilibrium structure and dynamics in a microscopic model of thin film active gels
• Signatures of motor susceptibility in the dynamics of a tracer particle in an active gel
• Competing Active and Passive Interactions Drive Amoeba-like Living Crystallites and Ordered Bands
• Driving kinetically constrained models into non-equilibrium steady states: structural and slow transport properties
• Dressed Active Particles in Spherical Crystals
• Command of Collective Dynamics by Topological Defects in Spherical Crystals
• Rectification in a mixture of active and passive particles subject to a ratchet potential
• Collective Vortical Motion and Vorticity Reversals of Self-Propelled Particles on Circularly Patterned Substrates
• Magnetized granular particles running and tumbling on $S^1$
• Active patterning and asymmetric transport in a model actomyosin network
• Motorized Chromosome Models of Mitosis
• Detecting Repetitions and Periodicities in Proteins by Tiling the Structural Space