Combined Influence of Off-diagonal System Tensors and Potential Valley Returning of the Optimal Path

TL;DR

This study investigates how off-diagonal system tensors and potential valley effects influence the optimal diffusion path of particles in a two-dimensional barrier, using Langevin dynamics in non-Ohmic damping environments.

Contribution

It introduces a systematic calculation of the optimal incident angle considering off-diagonal tensors and reveals the probability of path return to the potential valley.

Findings

Optimal incident angle varies with coupling strength.

Off-diagonal tensors influence the likelihood of path return.

Non-Ohmic damping affects diffusion path behavior.

Abstract

The two-dimensional barrier passage is studied in the framework of Langevin statistical reactive dynamics. The optimal incident angle for a particle diffusing in the dissipative non-orthogonal environment with various strengths of coupling between the two degrees of freedom is systematically calculated. The optimal diffusion path of the particle in a non-Ohmic damping system is revealed to have a probability to return to the potential valley under the combined influence of the off-diagonal system tensors.