Synchronization of coupled oscillators on a d-dimensional lattice with the power-law coupling G(r) = g0/rα and randomly distributed intrinsic frequency is analyzed. A systematic perturbation theory is developed to calculate the order parameter profile and correlation functions in powers of ϵ = α/d-1. For α ≤ d, the system exhibits a sharp synchronization transition as described by the conventional mean-field theory. For α > d, the transition is smeared by the quenched disorder, and the macroscopic order parameter ψ decays slowly with g0 as |ψ| ∝ g(0)(2).
Download full-text PDF |
Source |
---|---|
http://dx.doi.org/10.1103/PhysRevLett.106.064101 | DOI Listing |
Sci Rep
January 2025
Department of Cardiovascular Medicine, Jiangsu Provincial People's Hospital Group Taihu Sanatorium of Jiangsu Province, Wuxi, 214086, China.
Novel anthropometric indices are more closely related to metabolic abnormalities than traditional anthropometric indices. Fewer studies have been conducted based on the relationship between novel anthropometric indicators and hyperuricemia. This study was to analyze the serum uric acid (SUA) levels of adults and the relationship between hyperuricemia and these new indicators in Su-Wuxi-Chang area of China, in order to provide a theoretical basis for the management of SUA levels in patients with hyperuricemia.
View Article and Find Full Text PDFBMC Sports Sci Med Rehabil
January 2025
Division of Cardiology, Department of Internal Medicine, Chang Gung Memorial Hospital-Linkou, Chang Gung University College of Medicine, Taoyuan, 33302, Taiwan.
Background: Both the basal metabolic rate (BMR) and excess postexercise oxygen consumption (EPOC) can be influenced by physical training and are associated with body composition and aerobic capacity. Although a correlation between the two is expected, this relationship has not been explored. Our hypothesis is that a higher BMR is correlated with lower EPOC.
View Article and Find Full Text PDFEnviron Sci Pollut Res Int
January 2025
Department of Environmental Management, College of Agricultural and Environmental Sciences, Makerere University, P.O. Box 7062, Kampala, Uganda.
Aquaculture generates substantial amount of residual feeds and faecal matter that accumulate in the culture environment and pollute effluent-receiving water, diminishing its ecological functioning. To devise means of treating nutrient-rich aquaculture wastewater, the efficiency of integrated papyrus-bivalve mesocosms in removing nutrients was evaluated. The mesocosms were fed on water (6600 L) from one brood-stock pond and allowed to settle for 2 weeks.
View Article and Find Full Text PDFSci Rep
January 2025
Department of Pharmaceutical Chemistry, College of Pharmacy, King Saud University, P.O. Box 2457, 11451, Riyadh, Saudi Arabia.
This study focuses on the use of machine learning (ML) models to predict the biodistribution of nanoparticles in various organs, using a dataset derived from research on nanoparticle behavior for cancer treatment. The dataset includes both categorical and numerical variables related to nanoparticle properties, with a focus on their distribution across organs such as the tumor, heart, liver, spleen, lung, and kidney tissues. In order to address the complex and non-linear nature of the data, three machine learning models were utilized: Bayesian Ridge Regression (BRR), Kernel Ridge Regression (KRR), and K-Nearest Neighbors (KNN).
View Article and Find Full Text PDFInj Prev
January 2025
School of Transportation and Logistics Engineering, Wuhan University of Technology, Wuhan, Hubei, China.
Introduction: Previous research usually focused on high-frequency crash clusters (surrounded by high-frequency crashes), which overlooked outlier locations where high-frequency crashes were surrounded by low-frequency crashes. Neglecting spatiotemporal outliers might overlook critical factors for safety improvements.
Methods: Using pedestrian-vehicle crash data in North Carolina from 2007 to 2019, this study proposes an enhanced spatiotemporal analysis framework (combined with Approximate Nearest Neighbour and the Global Moran I index) to distinguish spatiotemporal crash outliers from aggregated/dispersed patterns.
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!