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Universality is a fundamental concept in modern physics. For the q-state Potts model, the critical exponents are merely determined by the order-parameter symmetry S_{q}, spatial dimensionality and interaction range, independent of microscopic details. In a simplest and mean-field treatment, i.e., the Potts model on complete graph (CG), the phase transition is further established to be of percolation universality for the range of 0
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http://dx.doi.org/10.1103/PhysRevE.111.054134 DOI Listing Publication Analysis
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Phys Rev E
May 2025
University of Science and Technology of China, Department of Modern Physics,, Hefei, Anhui 230026, China.
Universality is a fundamental concept in modern physics. For the q-state Potts model, the critical exponents are merely determined by the order-parameter symmetry S_{q}, spatial dimensionality and interaction range, independent of microscopic details. In a simplest and mean-field treatment, i.
View Article and Find Full Text PDFSci Rep
March 2024
Quantum Universe Center, Korea Institute for Advanced Study, Seoul, 02455, South Korea.
This study investigates the suitability of the annealed approximation in high-dimensional systems characterized by dense networks with quenched link disorder, employing models of coupled oscillators. We demonstrate that dynamic equations governing dense-network systems converge to those of the complete-graph version in the thermodynamic limit, where link disorder fluctuations vanish entirely. Consequently, the annealed-network systems, where fluctuations are attenuated, also exhibit the same dynamic behavior in the thermodynamic limit.
View Article and Find Full Text PDFPhys Biol
August 2021
Department of Physics, Princeton University, Princeton, New Jersey 08544, United States of America.
Sci Rep
January 2021
Center for Simulational Physics, University of Georgia, Athens, GA 30602 USA.
There is a tremendous interest in developing practical applications for noisy intermediate-scale quantum processors without the overhead required by full error correction. Near-term quantum information processing is especially challenging within the standard gate model, as algorithms quickly lose fidelity as the problem size and circuit depth grow. This has lead to a number of non-gate-model approaches such as analog quantum simulation and quantum annealing.
View Article and Find Full Text PDFJ Stat Phys
August 2020
Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands.
We study the random geometry of first passage percolation on the complete graph equipped with independent and identically distributed positive edge weights. We consider the case where the lower extreme values of the edge weights are highly separated. This model exhibits strong disorder and a crossover between local and global scales.
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