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Random diffusivity processes in an external force field.

Xudong Wang1, Yao Chen2

  • 1School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing 210094, People's Republic of China.

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Summary
This summary is machine-generated.

This study explores how external forces impact random diffusivity in biological systems. Findings reveal crucial differences between models based on fluctuation-dissipation theorem validity, highlighting its importance.

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Area of Science:

  • Physics
  • Biophysics
  • Statistical Mechanics

Background:

  • Brownian yet non-Gaussian processes are observed in biological systems.
  • Theories often utilize random diffusivity models.

Purpose of the Study:

  • To investigate the effect of external forces on two distinct random diffusivity models.
  • To analyze the role of the fluctuation-dissipation theorem in these systems.

Main Methods:

  • Derivation of Fokker-Planck equations for arbitrary external forces.
  • Analysis of observables like Einstein relation, moments, and kurtosis.
  • Theoretical analysis and numerical simulations of particle displacement probability density functions.

Main Results:

  • Significant differences observed between the two random diffusivity models.
  • Demonstrated impact of external forces on system dynamics.
  • Validation of theoretical predictions through numerical simulations.

Conclusions:

  • The fluctuation-dissipation theorem plays a critical role in random diffusivity systems.
  • Distinguishing between models based on fluctuation-dissipation theorem validity is essential.
  • External forces significantly influence non-Gaussian processes in biological contexts.