2017/01/03 by Sebastian Leitmann, Thomas Franosch · 36 citations
Biochemistry, Genetics and Molecular Biology · Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classical mechanics #Diffusion #Diffusion and Search Dynamics #Lattice (music) #Lorentz force #Lorentz transformation #Material Dynamics and Properties #Mechanics #Obstacle #Physics #Position (finance) #Quantum mechanics #Stationary state #Statistical physics #Transient (computer programming) #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.118.018001
published in Physical Review Letters 118(1), 018001 (American Physical Society) · 10 pages, Physical Review Letters, includes Supplemental Material
arxiv created 2017/01/03 · openalex publication_date 2017/01/03 · arxiv updated 2017/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider a tracer particle on a lattice in the presence of immobile obstacles. Starting from equilibrium, a force pulling on the particle is switched on, driving the system to a new stationary state. We solve for the complete transient dynamics of the fluctuations of the tracer position along the direction of the force. The analytic result, exact in first order of the obstacle density and for arbitrarily strong driving, is compared to stochastic simulations. Upon strong driving, the fluctuations grow superdiffusively for intermediate times; however, they always become diffusive in the stationary state. The diffusion constant is nonanalytic for small driving and is enhanced by orders of magnitude by increasing the force.