Exploring percolation phase transition in the three-dimensional Ising model with machine learning

Abstract

The percolation study offers valuable insights into the characteristics of phase transition, shedding light on the underlying mechanisms that govern the formation of global connectivity within the system. We explore the percolation phase transition in the 3D cubic Ising model by employing two machine learning techniques. Our results demonstrate the capability of machine learning methods in distinguishing different phases during the percolation transition. Through the finite-size scaling analysis on the output of the neural networks, the percolation temperature and a correlation length exponent in the geometrical percolation transition are extracted and compared to those in the thermal magnetization phase transition within the 3D Ising model. These findings provide a valuable way essential for enhancing our understanding of the property of the QCD critical point, which belongs to the same universality class as the 3D Ising model.

9 pages, 6 figures, 1 table, published version

References in corpus (45)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Machine learning and the physical sciences
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Machine learning phases of matter
• The equation of state in (2+1)-flavor QCD
• A high-bias, low-variance introduction to Machine Learning for physicists
• Critical point of QCD at finite T and μ, lattice results for physical quark masses
• Learning phase transitions by confusion
• Discovering Phase Transitions with Unsupervised Learning
• Unsupervised learning of phase transitions: from principal component analysis to variational autoencoders
• On the sign of kurtosis near the QCD critical point
• Recent advances in percolation theory and its applications
• Discovering Phases, Phase Transitions and Crossovers through Unsupervised Machine Learning: A critical examination
• Baryon-strangeness correlations: a diagnostic of strongly interacting matter
• QCD at finite chemical potential with six time slices
• Pushing the Limits of Monte Carlo Simulations for the 3d Ising Model
• Geometry of quantum phase transitions
• Constraining the QCD phase diagram by tricritical lines at imaginary chemical potential
• Critical Points in the Linear Sigma Model with Quarks
• Kernel methods for interpretable machine learning of order parameters
• Machine learning of phase transitions in the percolation and XY models
• Unveiling phase transitions with machine learning
• De-Confinement and Clustering of Color Sources in Nuclear Collisions
• Thermodynamics and Feature Extraction by Machine Learning
• Examining the crossover from hadronic to partonic phase in QCD
• Supervised and unsupervised learning of directed percolation
• De-Confinement in high multiplicity proton-proton collisions at LHC energies
• Coherent center domains in SU(3) gluodynamics and their percolation at T_c
• Thermal Behavior of Spin Clusters and Interfaces in two-dimensional Ising Model on Square Lattice
• Phase transition encoded in neural network
• Few-shot machine learning in the three-dimensional Ising model
• Three Dimensional Ising Model, Percolation Theory and Conformal Invariance
• Geometric properties of the Fortuin-Kasteleyn representation of the Ising model
• Percolation Approach to Initial Stage Effects in High Energy Collisions
• Transfer learning of phase transitions in percolation and directed percolation
• Geometric Properties of the Three-Dimensional Ising and XY Models
• Topological Theory of Phase Transitions
• Machine learning for percolation utilizing auxiliary Ising variables
• Machine Learning of Nonequilibrium Phase Transition in an Ising Model on Square Lattice
• Machine learning phase transitions of the three-dimensional Ising universality class
• Domain size heterogeneity in the Ising model: geometrical and thermal transitions
• Understanding the QCD medium by the diffusion of charm quarks using a Color String Percolation Model
• Possible new phase transition in the 3D Ising Model associated with boundary percolation
• Critical properties of various sizes of cluster in the Ising percolation transition
• Investigations into the characteristics and influences of nonequilibrium evolution