Diffusion of active tracers in fluctuating fields

Abstract

The problem of a particle diffusion in a fluctuating scalar field is studied. In contrast to most studies of advection diffusion in random fields we analyze the case where the particle position is also coupled to the dynamics of the field. Physical realizations of this problem are numerous and range from the diffusion of proteins in fluctuating membranes and the diffusion of localized magnetic fields in spin systems. We present exact results for the diffusion constant of particles diffusing in dynamical Gaussian fields in the adiabatic limit where the field evolution is much faster than the particle diffusion. In addition we compute the diffusion constant perturbatively, in the weak coupling limit where the interaction of the particle with the field is small, using a Kubo-type relation. Finally we construct a simple toy model which can be solved exactly.

13 pages, 1 figure

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Cited by in corpus (13)

• A perturbative path integral study of active and passive tracer diffusion in fluctuating fields
• Dynamics of membranes with immobile inclusions
• Diffusion of a particle quadratically coupled to a thermally fluctuating field
• Memory-induced oscillations of a driven particle in a dissipative correlated medium
• Tracer particle in a confined correlated medium: an adiabatic elimination method
• Statistical mechanics of a single active slider on a fluctuating interface
• Dynamics and steady states of a tracer particle in a confined critical fluid
• Inducing oscillations of trapped particles in a near-critical Gaussian field
• Effective Dynamics of Tracer in Active Bath: A Mean-field Theory Study
• Fluctuations of the critical Casimir force
• Structure and dynamics of a Rouse polymer in a fluctuating correlated medium
• Recoil of a driven tracer in a correlated medium
• Nonequilibrium relaxation of a trapped particle in a near-critical Gaussian field