Novel Power Law of Turbulent Spectrum

Nonuniversal power-law spectra in turbulent systems.

Turbulence is generally associated with universal power-law spectra in scale ranges without significant drive or damping. Although many examples of turbulent systems do not exhibit such an inertial range, power-law spectra may still be observed. As a simple model for such situations, a modified version of the Kuramoto-Sivashinsky equation is studied. By means of semianalytical and numerical stu...

Velocity Fields with Power-Law Spectra for Modeling Turbulent Flows

We consider a generalization of homogeneous and isotropic Çinlar velocity fields to capture power-law spectra. The random velocity field is non-Gaussian with a representation motivated by Lagrangian and Eulerian observations. A wide range of turbulent flows can be generated by varying the stochastic parameters of the model. The velocity field being a functional version of Poisson shot-noise is ...

Decomposition of Heart Rate Variability Spectrum into a Power-Law Function and a Residual Spectrum

The power spectral density (PSD) of heart rate variability (HRV) contains a power-law relationship that can be obtained by plotting the logarithm of PSD against the logarithm of frequency. The PSD of HRV can be decomposed mathematically into a power-law function and a residual HRV (rHRV) spectrum. Almost all rHRV measures are significantly smaller than their corresponding HRV measures except th...

Title Power-law behavior in the power spectrum induced by Brownian motion of a domain wall

Power-law behavior in the power spectrum induced by Brownian motion of a domain wall.

We show that Brownian motion of a one-dimensional domain wall in a large but finite system yields a omega(-3/2) power spectrum. This is successfully applied to the totally asymmetric simple exclusion process with open boundaries. An excellent agreement between our theory and numerical results is obtained in a frequency range where the domain wall motion dominates and the discreteness of the sys...