Paraphrase the following text using more academic and scientific language Use a neutral tone and avoid repetitions of words and phrases：Momentum diffusion curves with different colored noises The aver

The present study examines the momentum diffusion curves under varying colored noise conditions. The different colored noise signals are characterized by a zero mean and 1.0 variance. The Levy parameter $\alpha$ is manipulated to obtain two distinct values, namely 0.5 and 2.0. The momentum diffusion curve under noise-free conditions is represented by the black line, while the solid colored lines depict the curves under colored noise conditions.