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This article uses particle size distribution to examine the fractal dimension and power draw of grinding. The tailings from dry magnetic separators, which are fed into the regrinding mill of the Gol Gohar iron ore mine, were used as the sample under study. The size of the balls, the filling particles, and the fractional ball filling have been studied as input variables, with the response variables being the fractal dimension and power draw. The results demonstrate that increasing energy usage does not increase the fractal dimension. Conversely, a direct relationship was shown between the fractal dimension and the quantity of fine particles. The self-similarity principle of fractal geometry can be used to predict the repeated process that results in variations in power draw over time. This might be the start of numerous studies that foresee the rising power draw peaks and reduce their duration by adjusting the effective parameters.
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http://dx.doi.org/10.1038/s41598-025-98950-9 | DOI Listing |
ACS Omega
September 2025
Department of Chemistry, American University of Beirut, P.O. Box 11-0236, Riad El-Solh, 1107 2020 Beirut, Lebanon.
Fractal growth in reaction-diffusion frameworks (RDF) offers a powerful paradigm for understanding self-assembly in chemical and materials systems. However, its connection to diffusion-limited aggregation (DLA) remains underexplored. Here, we present the first quantitative demonstration of RDF-driven fractal crystallization of benzoic acid (BA), revealing a direct correlation among fractal dimension, diffusion rate, and gel-matrix chemistry.
View Article and Find Full Text PDFSoft Matter
September 2025
Nestlé Product Technology Centre, York, YO31 8FY, UK.
Particles with some degree of hydrophilicity are known to aggregate when directly dispersed in non-aqueous media. Proteins are generally insoluble in oil and have complex surface properties, but they may form networks in oil like more simple colloidal particles, depending on particle size and surface hydrophilicity. Here, the particle size of pea protein isolate (PPI) particles in oil was reduced to submicron sizes by stirred media milling.
View Article and Find Full Text PDFJ Cancer Res Ther
September 2025
Department of Interventional Ultrasound, The Senior Department of Oncology, The Fifth Medical Center of PLA General Hospital, Beijing 100039, China.
Background: Noninvasive and functional tumor vascular system imaging at the microscopic scale is greatly significant. Using animal models, we investigated the feasibility of using superresolution ultrasound (SR-US) imaging to visualize and quantify the microvessels during tumor growth.
Methods: This study established nine rabbit VX2 tumor models.
Front Neurosci
August 2025
School of Mathematics and Statistics Science, Ludong University, Yantai, China.
Epilepsy is a neurological disorder affecting ~50 million patients worldwide (30% refractory cases) with complex dynamical behavior governed by nonlinear differential equations. Seizures severely impact patients' quality of life and may lead to serious complications. As a primary diagnostic tool, electroencephalography (EEG) captures brain dynamics through non-stationary time series with measurable chaotic and fractal properties.
View Article and Find Full Text PDFJ Phys Condens Matter
September 2025
Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barrackpore Trunk Road, Kolkata-700108, Kolkata, Kolkata, West Bengal, 700108, INDIA.
Quasiperiodic systems are known to exhibit localization transitions in low dimensions, wherein all electronic states become localized beyond a critical disorder strength. Interestingly, recent studies have uncovered a reentrant localization (RL) phenomenon: upon further increasing the quasiperiodic modulation strength beyond the localization threshold, a subset of previously localized states can become delocalized again within a specific parameter window. While RL transitions have been primarily explored in systems with simple periodic modulations, such as dimerized or long-range hopping integrals, the impact of more intricate or correlated hopping structures on RL behavior remains largely elusive.
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