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Diffusion crossing over a barrier in a random rough metastable potential.

Meng Hu¹, Jing-Dong Bao¹

¹Department of Physics, Beijing Normal University, Beijing 100875, People's Republic of China.

Physical Review. E

|July 18, 2018

Summary

This summary is machine-generated.

Spatial disorder in metastable potentials obstructs particle escape, decreasing escape rates with increased roughness. However, random potentials near saddle points can enhance escape rates, revealing complex dynamics in noisy systems.

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Area of Science:

Statistical mechanics
Nonlinear dynamics
Condensed matter physics

Background:

Metastable potentials are crucial in various physical phenomena.
Understanding particle escape dynamics is key to predicting system behavior.
Spatial disorder significantly impacts system stability and dynamics.

Purpose of the Study:

To investigate the escape dynamics of a particle in a disordered metastable potential.
To analyze the effect of spatial disorder and correlated potentials on escape rates.
To explore the interference mechanism of multi-passing particles at the saddle point.

Main Methods:

Detailed study of escape dynamics using white noise-driven particle.
Double-averaging approach over test particles and statistical ensembles.
Analysis of steady escape rate dependence on potential parameters and roughness intensity.

Main Results:

Spatial disorder (roughness) decreases the steady escape rate as roughness intensity increases.
Adding random correlated potentials near saddle points enhances escape rates.
Observed phenomena are analogous to surmounting a fluctuating sharp barrier.

Conclusions:

Particle escape dynamics are significantly influenced by spatial disorder in metastable potentials.
Roughness acts as an obstruction, hindering particle escape.
Correlated potentials near saddle points can facilitate escape, highlighting a complex interplay of factors.