1998/07/01 by D. A. Gorokhov, G. Blatter · 21 citations
Physics and Astronomy · #Anomalous diffusion #Exponent #Formalism (music) #Gaussian #Intermittency #Metastability #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical physics #Thermodynamics #Turbulence #cond-mat.dis-nn #cond-mat.stat-mech #cond-mat.supr-con #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physrevb.58.213
published in Physical review. B, Condensed matter 58(1), 213-217 (American Physical Society) · 6 pages
openalex publication_date 1998/07/01 · arxiv created 1998/07/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the diffusive motion of an overdamped classical particle in a one-dimensional random potential using the mean first-passage time formalism and demonstrate the efficiency of this method in the investigation of the large-time dynamics of the particle. We determine the log-time diffusion 〈〈x2(t)〉th〉dis=Aln^\ensuremathβ(t/tr) and relate the prefactor A, the relaxation time tr, and the exponent \ensuremathβ to the details of the (generally non-Gaussian) long-range correlated potential. Calculating the moments 〈〈tn〉th〉dis of the first-passage time distribution P(t), we reconstruct the large-time distribution function itself and draw attention to the phenomenon of intermittency. The results can be easily interpreted in terms of the decay of metastable trapped states. In addition, we present a simple derivation of the mean velocity of a particle moving in a random potential in the presence of a constant external force.