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Different effects of external force fields on aging Lévy walk.
1College of Sciences, Nanjing Agricultural University, Nanjing 210095, People's Republic of China.
Chaos (Woodbury, N.Y.)
|February 1, 2023
Summary
A constant force field enhances aging Lévy walk diffusion, unlike a periodic force. This study explores how external forces impact aging phenomena in physical systems.
Area of Science:
- Physics
- Statistical Mechanics
- Complex Systems
Background:
- Aging phenomena are prevalent in various physical systems.
- Statistical quantities in aging anomalous diffusion depend on aging time (ta).
Purpose of the Study:
- To investigate the effect of external force fields on aging Lévy walks.
- To compare the influence of constant and time-dependent periodic forces.
Main Methods:
- Utilizing the Langevin picture of Lévy walks.
- Applying the generalized Green-Kubo formula.
- Analyzing ensemble- and time-averaged mean-squared displacements in weak (ta≪t) and strong (ta≫t) aging regimes.
Main Results:
- A constant force field is identified as crucial for inducing and enhancing aging phenomena in Lévy walks.
- Time-dependent periodic forces do not exhibit the same enhancing effect on aging Lévy walks.
- Theoretical analyses and numerical simulations confirm these distinct effects.
Conclusions:
- External force fields significantly modulate aging Lévy walk dynamics.
- Constant forces promote diffusion, while periodic forces do not, highlighting the importance of force characteristics.
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