Application of Fourier analysis to an ellipsoidal particle on a granular magnetic bath

• Published in: Physica A Vol. 630; p. 129258
• Main Authors: Fossion, R., Donado, F., Jaguey-Hernández, Y., Tapia-Ignacio, C.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.11.2023
• Subjects: Ellipsoidal particle; Fourier analysis; Granular bath; Scale invariance; Scale invariance; Fourier analysis; Ellipsoidal particle; Granular bath
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/j.physa.2023.129258

We employ a time-series approach to examine the motion of an ellipsoidal particle resting on an agitated granular bath composed of small magnetic spheres. We characterize the dynamics of the ellipsoidal particle by measuring the autocorrelations present in the time series of position x and angle θ using Fourier spectral analysis. We consider two different sizes of the ellipsoidal particle and different values of the constant magnetic field for the thermal bath. In all cases, power spectra follow a power law, P(f)∝1/fβ with β≈2, indicating scale invariance and Brownian-like motion for the corresponding time series. However, without a constant magnetic field, the scale invariance property is valid only for high values of the oscillating magnetic field. The present system constitutes an experimental model to generate correlated random walks. •The motion of an ellipsoidal particle lying on an agitated granular bath.•The ellipsoidal particle was studied by using a time series approach.•The Fourier power spectra reveal scale invariance.