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Area of Science:

  • Physics
  • Physical Chemistry
  • Statistical Mechanics

Background:

  • Scaled Brownian motions (SBMs) with time-dependent diffusivity model anomalous diffusion in systems like granular gases and cellular processes.
  • Non-Gaussian diffusion behaviors necessitate advanced models such as SBMs with diffusing diffusivity (DD-SBM).

Purpose of the Study:

  • To numerically investigate free and confined DD-SBM models.
  • To analyze the impact of fixed or stochastic scaling exponents, random diffusivity, and confinement on diffusion dynamics.

Main Methods:

  • Numerical simulations of DD-SBM.
  • Analysis of systems with fixed and stochastic scaling exponents.
  • Consideration of random diffusivity and confinement effects.

Main Results:

  • Observed various diffusion regimes: ultraslow, subdiffusion, normal diffusion, and superdiffusion.
  • Detected weak ergodic and non-Gaussian behaviors.
  • Demonstrated the influence of scaling exponent distribution, random diffusivity, and confinement.

Conclusions:

  • DD-SBM models capture complex diffusion in fluctuating environments.
  • Findings offer insights into systems with time-dependent temperature and heterogeneous environments.
  • The study highlights the importance of considering diffusivity variations in diffusion processes.