Aging dynamics in interacting many-body systems

الأصل · EN

Low-dimensional, complex systems are often characterized by logarithmically slow dynamics. We study the generic motion of a labeled particle in an ensemble of identical diffusing particles with hardcore interactions in a strongly disordered, one-dimensional environment. Each particle in this single file is trapped for a random waiting time τ with power law distribution ψ(τ)≃τ⁻¹⁻ α, such that the τ values are independent, local quantities for all particles. From scaling arguments and simulations, we find that for the scale-free waiting time case 0<α<1, the tracer particle dynamics is ultra-slow with a logarithmic mean square displacement (MSD) x²(t)≃(t)¹/². This extreme slowing down compared to regular single file motion x²(t)≃ t¹/² is due to the high likelihood that the labeled particle keeps encountering strongly immobilized neighbors. For the case 1<α<2 we observe the MSD scaling x²(t)≃ tγ, where γ<1/2, while for α>2 we recover Harris law ≃ t¹/².