Using Monte Carlo computer simulations, we investigate the kinetics of phase separation in the two-dimensional conserved Ising model with power-law decaying long-range interactions, the prototypical model for many long-range interacting systems. A long-standing analytical prediction for the characteristic length is shown to be applicable. In the simulation, we relied on our novel algorithm which provides a massive speedup for long-range interacting systems.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevLett.129.240601 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Inferring structure of cortical neuronal networks from activity data: A statistical physics approach.
PNAS Nexus
January 2025
Department of Mathematics, Aston University, Birmingham B4 7ET, United Kingdom.
Understanding the relation between cortical neuronal network structure and neuronal activity is a fundamental unresolved question in neuroscience, with implications to our understanding of the mechanism by which neuronal networks evolve over time, spontaneously or under stimulation. It requires a method for inferring the structure and composition of a network from neuronal activities. Tracking the evolution of networks and their changing functionality will provide invaluable insight into the occurrence of plasticity and the underlying learning process.
View Article and Find Full Text PDFEffects of Temperature and Random Forces in Phase Transformation of Multi-Stable Systems.
Entropy (Basel)
December 2024
Department of Civil, Environmental, Land, Building Engineering and Chemistry (DICATECh), Polytechnic University of Bari, Via Orabona 4, 70125 Bari, Italy.
Multi-stable behavior at the microscopic length-scale is fundamental for phase transformation phenomena observed in many materials. These phenomena can be driven not only by external mechanical forces but are also crucially influenced by disorder and thermal fluctuations. Disorder, arising from structural defects or fluctuations in external stimuli, disrupts the homogeneity of the material and can significantly alter the system's response, often leading to the suppression of cooperativity in the phase transition.
View Article and Find Full Text PDFPerturbational Decomposition Analysis for Quantum Ising Model with Weak Transverse Fields.
Entropy (Basel)
December 2024
Institute of Quantum Precision Measurement, State Key Laboratory of Radio Frequency Heterogeneous Integration, Shenzhen University, Shenzhen 518060, China.
This work presents a perturbational decomposition method for simulating quantum evolution under the one-dimensional Ising model with both longitudinal and transverse fields. By treating the transverse field terms as perturbations in the expansion, our approach is particularly effective in systems with moderate longitudinal fields and weak to moderate transverse fields relative to the coupling strength. Through systematic numerical exploration, we characterize parameter regimes and evolution time windows where the decomposition achieves measurable improvements over conventional Trotter decomposition methods.
View Article and Find Full Text PDFQuantum Computing in Community Detection for Anti-Fraud Applications.
Entropy (Basel)
November 2024
Beijing QBoson Quantum Technology Co., Ltd., Beijing 100015, China.
Fraud detection within transaction data is crucial for maintaining financial security, especially in the era of big data. This paper introduces a novel fraud detection method that utilizes quantum computing to implement community detection in transaction networks. We model transaction data as an undirected graph, where nodes represent accounts and edges indicate transactions between them.
View Article and Find Full Text PDFNoninvertible Symmetry-Resolved Affleck-Ludwig-Cardy Formula and Entanglement Entropy from the Boundary Tube Algebra.
Phys Rev Lett
December 2024
C. N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, New York 11794, USA.
Article Synopsis
- We refine the Affleck-Ludwig-Cardy formula for 1+1D conformal field theories, focusing on how high energy states relate to noninvertible global symmetries.
- We calculate the main contributions to the entanglement entropy for a system with noninvertible symmetries, specifically looking at a single interval.
- Using the critical double Ising model, we demonstrate that the ground state entanglement Hamiltonian exhibits a specific Hopf algebra symmetry when the system's boundary conditions reflect certain symmetries, and we provide the resulting symmetry-resolved entanglement entropies.
Want AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!