Emergence of scale invariance in the dynamics of an ellipsoidal particle on a granular magnetic bath

G. Torres-Vargas, C. Tapia-Ignacio, F. Donado, R. Fossion and J.A. Santiago

Physica A: Statistical Mechanics and its Applications, 2021, vol. 572, issue C

Abstract: Recently, scale invariance in the position time series of particles constituting a non-vibrating magnetic granular system was determined, employing Fourier analysis (FA) and detrended fluctuation analysis (DFA). Such system consists of steel balls confined inside a circular wall that surrounds a glass plate, where kinetic energy is provided to the particles by means of the application of an external vertical time-dependent magnetic field. Now, in the present contribution, the magnetic particles are considered as an agitated granular bath where a single non-magnetic ellipsoidal particle lies. In this work, we carry out experiments considering two different sizes of the ellipsoidal particle, and, in addition to the oscillating magnetic field, we also consider a constant magnetic field. In this new scenario, we found that the Fourier power spectra of the time series of the ellipsoidal particle positions in x-direction, and the angular time series constructed from rotational movements, follow a power law, P(f)∝1∕fβ with β≈2, indicating Brownian-type motion. Additionally, we observed that this scale invariance property is not true for the position time series of the particles in the granular bath. These results are confirmed by applying DFA. In this way, by employing time series analysis techniques, a characterization of the emergence of Brownian paths in this model of active matter is achieved.

Keywords: Active matter; Long-range correlations; Brownian motion; Magnetic particles; Ellipsoidal particles (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437121001758
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:572:y:2021:i:c:s0378437121001758

DOI: 10.1016/j.physa.2021.125903

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().