斜洛仑兹脉冲和指数频率功率谱
Skewed Lorentzian pulses and exponential frequency power spectra
摘要：
考虑了振幅随机分布的不相关洛伦兹脉冲叠加的频率功率谱。对于具有恒定持续时间的脉冲，存在指数频谱，其与脉冲重叠程度和脉冲幅度分布无关。此外，频谱示出是不受洛仑兹脉冲的偏斜度，甚至是随机分布的脉冲不对称性参数及其与脉冲幅度的相关性。这种随机模型提供了新的见解无处不在的指数谱流体和磁化等离子体表现出确定性的混乱，非线性平流过程导致幅度依赖陡峭的平滑脉冲。
英文摘要：
Frequency power spectra due to a super-position of uncorrelated Lorentzian pulses with a random distribution of amplitudes are considered. For pulses with constant duration, there is an exponential frequency spectrum which is independent of the degree of pulse overlap and the pulse amplitude distribution. The spectrum is furthermore shown to be unaffected by skewness of the Lorentzian pulses and even a random distribution of the pulse asymmetry parameter and its correlation with the pulse amplitude. This stochastic model provides new insight to the ubiquitous exponential spectra in fluids and magnetized plasmas exhibiting deterministic chaos, where non-linear advection processes lead to amplitude dependent steepening of smooth pulses.
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