The active trap model

Abstract

Motivated by the dynamics of particles embedded in active gels, both in-vitro and inside the cytoskeleton of living cells, we study an active generalization of the classical trap model. We demonstrate that activity leads to dramatic modifications in the diffusion compared to the thermal case: the mean square displacement becomes sub-diffusive, spreading as a power-law in time, when the trap depth distribution is a Gaussian and is slower than any power-law when it is drawn from an exponential distribution. The results are derived for a simple, exactly solvable, case of harmonic traps. We then argue that the results are robust for more realistic trap shapes when the activity is strong.

References in corpus (22)

• How far from equilibrium is active matter?
• A self-propelled particle in an external potential: is there an effective temperature?
• Active Brownian Particles and Run-and-Tumble Particles: a Comparative Study
• Molecular motors robustly drive active gels to a critically connected state
• Run-and-tumble particle in one-dimensional confining potential: Steady state, relaxation and first passage properties
• Aging Continuous Time Random Walks
• Towards a statistical mechanical theory of active fluids
• Glassy dynamics of athermal self-propelled particles: Computer simulations and a nonequilibrium microscopic theory
• Activity driven fluctuations in living cells
• Directed transport of active particles over asymmetric energy barriers
• Activated escape of a self-propelled particle from a metastable state
• First-passage time of run-and-tumble particles
• Active escape dynamics: the effect of persistence on barrier crossing
• Escape rate of active particles in the effective equilibrium approach
• Modeling the dynamics of a tracer particle in an elastic active gel
• Generalized Ornstein-Uhlenbeck Model for Active Motion
• Dynamics and escape of active particles in a harmonic trap
• Kramers escape of a self-propelled particle
• Continuous-time random walk theory of superslow diffusion
• Signatures of motor susceptibility in the dynamics of a tracer particle in an active gel
• Scale dependence of mechanics and dynamics of active gels with increasing motor concentration
• Dynamics in Steady State In Vitro Acto-Myosin Networks

Cited by in corpus (34)

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• Disorder-Induced Long-Ranged Correlations in Scalar Active Matter
• Escape of a passive particle from activity-induced energy landscape: Emergence of slow and fast effective diffusion
• Active Brownian and inertial particles in disordered environments: short-time expansion of the mean-square displacement
• Chiral active matter in external potentials
• Glassy Dynamics in Chiral Fluids
• Time-dependent properties of interacting active matter: dynamical behavior of one-dimensional systems of self-propelled particles
• Exact position distribution of a harmonically-confined run-and-tumble particle in two dimensions
• Nonequilibirum steady state for harmonically-confined active particles
• Inclusions, Boundaries and Disorder in Scalar Active Matter
• Arrhenius law for interacting diffusive systems
• Inertial active matter with Coulomb friction
• Generalized Fluctuation-Dissipation relations holding in non-equilibrium dynamics
• Synchronization and enhanced catalysis of mechanically coupled enzymes
• How to Study a Persistent Active Glassy System?
• Nonequilibrium steady state of trapped active particles
• The most probable path of Active Ornstein-Uhlenbeck particles
• Nonequilibrium diffusion of active particles bound to a semi-flexible polymer network: simulations and fractional Langevin equation
• Extinctions of coupled populations, and rare-event dynamics under non-Gaussian noise
• From entropic to energetic barriers in glassy dynamics: The Barrat-Mézard trap model on sparse networks
• Active gels, heavy tails, and the cytoskeleton
• Escape Dynamics in an Anisotropically Driven Brownian Magneto-System
• Intransitiveness in the Penney Game and in Random Walks on rings, networks, communities and cities
• Trapping Instability of an Active Particle in Steering Potential Fields
• Confined active particles with spatially dependent Lorentz force: an odd twist to the "best Fokker-Planck approximation"
• Inferring intermediate states by leveraging the many-body Arrhenius law
• Irregular gyration of a two-dimensional random-acceleration process in a confining potential
• Work fluctuations for a confined Brownian particle: the role of initial conditions
• Correlated escape of active particles across a potential barrier
• Hydrodynamics of simple active liquids: the emergence of velocity correlations
• Yielding in dense active matter