本文研究OU色噪声驱动粒子在棘轮势中的定向输运问题。首先对布朗动力学做了 详细介绍。然后，研究了在非对称周期势中添加恒定外力的粒子运动，计算讨论了噪声 强度和关联时间及恒定外力对输运的影响。最后，研究了摇摆棘轮系统中的定向输运问 题。

布朗粒子定向输运的显著物理量是定态几率流。本文采用Monte Carlo数值模拟方 法，详细讨论了噪声和驱动力各参数对上述物理量的影响。部分研究结果如下：

首先，系统只有OU色噪声驱动，粒子也会产生定向运动。噪声强度和关联时间的增 加一开始有助于几率流的增加，但当参数到达极值后，几率流逐渐减小。

然后，几率流基本上与恒定外力呈线性关系，外力越大，几率流越大。

最后，系统添加周期驱动力。粒子产生定向运动，几率流随时间振荡减弱，趋于定 值。驱动力振幅越大，几率流越大。周期力振幅与几率流并不呈现线性关系。驱动力频 率越高，几率流越小。随着频率增加，几率流趋于不变。

In this paper, we study the Directed Transport in a ratchet model subjected to Ornstein–Uhlenbeck Noise.Firstly,we give the details of Brownian dynamics.Secondly,the influnce of OU noisy intensity D, noisy correlation time τc and constant external force F0 to the transport of particals in the case of asymmetrical periodic potential are studied.Finally,we study the transport of a rock ratchet system which is subjected to OU colored noise.

The remarkable characteristic coeffcient of the transport process is probability current K.The paper which is numerical calculated by the Monte Carlo method details the physical quantity influenced by the noisy intensity, noisy correlation time,driven amplitude ,driven frequency.we have gotten some important conclusions：

Firstly,OU colored noise is the reason of directed transport.K is not a monotonic function of D which will initially increase and afterwards decrease with the incresing D as well as τc.

Secondly,The probability current increases linearly while the constant force increases.

Thirdly,the system is subjected to periodic force. The particle occurs directed transport.The probability current is oscillating decreasing which will reach a certain value.The probability current increases nolinearly while the driven amplitude increases.The probability current decreases while the driven frequency increase which will reach a certain value.