2017/07/24 by Alexander Liluashvili, Jonathan Onody, Jonathan Ónody +1 · 82 citations
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Brownian dynamics #Brownian motion #Classical mechanics #Condensed matter physics #Coupling (piping) #Glass transition #Materials science #Micro and Nano Robotics #Microfluidic and Bio-sensing Technologies #Mode coupling #Molecular physics #Molecule #Non-equilibrium thermodynamics #Nuclear magnetic resonance #Physics #Quantum mechanics #Relaxation (psychology) #Rotational diffusion #Thermal diffusivity #Thermodynamics #cond-mat.soft
paper · pdf · doi:10.1103/physreve.96.062608
published in Physical review. E 96(6), 062608 (American Physical Society)
arxiv created 2017/07/24 · openalex publication_date 2017/12/14 · arxiv updated 2017/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a mode-coupling theory (MCT) for the slow dynamics of two-dimensional spherical active Brownian particles (ABPs). The ABPs are characterized by a self-propulsion velocity v0 and by their translational and rotational diffusion coefficients Dt and Dr, respectively. Based on the integration-through-transients formalism, the theory requires as input only the equilibrium static structure factors of the passive system (where v0=0). It predicts a nontrivial idealized-glass-transition diagram in the three-dimensional parameter space of density, self-propulsion velocity, and rotational diffusivity that arise because at high densities, the persistence length of active swimming ℓp=v0/Dr interferes with the interaction length ℓc set by the caging of particles. While the low-density dynamics of ABPs is characterized by a single Péclet number Pe=v02/DrDt, close to the glass transition the dynamics is found to depend on Pe and ℓp separately. At fixed density, increasing the self-propulsion velocity causes structural relaxation to speed up, while decreasing the persistence length slows down the relaxation. The active-MCT glass is a nonergodic state that is qualitatively different from the passive glass. In it, correlations of initial density fluctuations never fully decay, but also an infinite memory of initial orientational fluctuations is retained in the positions.