2023/10/22 by Anna Bodrova, Bodrova, A. S., S. I. Serdyukov +1
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Diffusion and Search Dynamics #FOS: Physical sciences #Micro and Nano Robotics #Statistical Mechanics (cond-mat.stat-mech) #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.2310.14357
openalex publication_date 2023/10/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently, a new formalism describing the anomalous diffusion processes, based on the Onsager-Machlup fluctuation theory, has been suggested \citeSmain, Spub. We study particles performing this new type of motion, under the action of resetting at a constant rate, or Poissonian resetting. We derive the mean-squared displacement and probability density function, and investigate their dependence on the shape parameter, diffusion coefficient, potential strength and resetting rate.