The diffusion behaviors of Brownian particles in a tilted periodic potential under the influence of an internal white noise and an external Ornstein-Uhlenbeck noise are investigated through numerical simulation. In contrast to the case when the bias force is smaller or absent, the diffusion coefficient exhibits a nonmonotonic dependence on the correlation time of the external noise when bias force is large. A mechanism different from locked-to-running transition theory is presented for the diffusion enhancement by a bias force in intermediate to large damping. In the underdamped regime and the absence of external noise, the diffusion coefficient is a monotonically decreasing function of low temperature rather than a nonmonotonic function when external noise is absent. The diffusive process undergoes four regimes when bias force approaches but is less than its critical value and noises intensities are small. These behaviors can be attributed to the locked-to-running transition of particles.

通过数值模拟研究了在内部白噪声和外部Ornstein-Uhlenbeck噪声影响下布朗粒子在倾斜周期电势中的扩散行为。与偏压力较小或不存在偏压力的情况相反，当偏压力较大时，扩散系数对外部噪声的相关时间表现出非单调依赖性。提出了一种与锁定到运行过渡理论不同的机制，以通过中到大阻尼中的偏压力来增强扩散。在欠阻尼状态下并且没有外部噪声时，扩散系数是低温的单调递减函数，而不是在没有外部噪声时的非单调函数。当偏压力接近但小于临界值且噪声强度较小时，扩散过程会经历四种状态。这些行为可以归因于粒子从锁定到运行的过渡。