Nonequilibrium fluctuations and enhanced diffusion of a driven particle in a dense environment

Abstract

We study the diffusion of a tracer particle driven out-of-equilibrium by an external force and traveling in a dense environment of arbitrary density. The system evolves on a discrete lattice and its stochastic dynamics is described by a master equation. Relying on a decoupling approximation that goes beyond the naive mean-field treatment of the problem, we calculate the fluctuations of the position of the tracer around its mean value on a lattice of arbitrary dimension, and with different boundary conditions. We reveal intrinsically nonequilibrium effects, such as enhanced diffusivity of the tracer induced both by the crowding interactions and the external driving. We finally consider the high-density and low-density limits of the model and show that our approximation scheme becomes exact in these limits.

References in corpus (10)

• Active Particles in Complex and Crowded Environments
• Anomalous transport in the crowded world of biological cells
• Activity-induced phase separation and self-assembly in mixtures of active and passive particles
• 'Fuelled' motion: phoretic motility and collective behaviour of active colloids
• The Exclusion Process: A paradigm for non-equilibrium behaviour
• Microscopic theory for negative differential mobility in crowded environments
• Weak disorder strongly improves the selective enhancement of diffusion in a tilted periodic potential
• Time-Dependent Fluctuations and Superdiffusivity in the Driven Lattice Lorentz Gas
• Hot Particles Attract in a Cold Bath
• Mean-field microrheology of a very soft colloidal suspension: inertia induces shear-thickening

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• Absolute negative mobility of an active tracer in a crowded environment
• Microscopic theory for the diffusion of an active particle in a crowded environment
• Non-Gaussian anomalous dynamics in systems of interacting run-and-tumble particles
• Spectral fingerprints of non-equilibrium dynamics: The case of a Brownian gyrator
• Transport and diffusion of paramagnetic ellipsoidal particles in a rotating magnetic field
• Dynamics and Nonmonotonic Drag for Individually Driven Skyrmions
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• Confined diffusion in a random Lorentz gas environment
• Transport in exclusion processes with one-step memory: density dependence and optimal acceleration
• Exact hydrodynamics and onset of phase separation for an active exclusion process
• Interactions enhance dispersion in fluctuating channels via emergent flows
• Colossal Brownian yet non-Gaussian diffusion in a periodic potential: impact of nonequilibrium noise amplitude statistics
• Fluctuations and Pinning for Individually Manipulated Skyrmions
• Dynamical patterns and nonreciprocal effective interactions in an active-passive mixture through exact hydrodynamic analysis
• Current fluctuations in the symmetric exclusion process beyond the one-dimensional geometry
• Demixing of two species via reciprocally concentration-dependent diffusivity
• Random walks on modular chains: Detecting structure through statistics
• Universal scale-free decay of tracer-bath correlations in $d$-dimensional interacting particle systems
• Scaling study of diffusion in dynamic crowded spaces