English
Related papers

Related papers: Exploring percolation phase transition in the thre…

200 papers

We study the phase transition of the three-dimensional complex |psi|^4 theory by considering the geometrically defined vortex-loop network as well as the magnetic properties of the system in the vicinity of the critical point. Using…

High Energy Physics - Lattice · Physics 2016-09-01 Elmar Bittner , Axel Krinner , Wolfhard Janke

In discussing the phase transition of the three-dimensional complex |psi|^4 theory, we study the geometrically defined vortex-loop network as well as the magnetic properties of the system in the vicinity of the critical point. Using…

Superconductivity · Physics 2009-11-11 Elmar Bittner , Axel Krinner , Wolfhard Janke

Despite the fact that a complete theoretical description of critical phenomena in connection with phase transitions has been well-established through the renormalization group theory, the microscopic nature of the phase transitions remains…

Statistical Mechanics · Physics 2025-11-07 Yun-Tong Yang , Fu-Zhou Chen , Hong-Gang Luo

We study the early time dynamics of the 2d ferromagnetic Ising model instantaneously quenched from the disordered to the ordered, low temperature, phase. We evolve the system with kinetic Monte Carlo rules that do not conserve the order…

Statistical Mechanics · Physics 2018-02-07 Thibault Blanchard , Leticia F. Cugliandolo , Marco Picco , Alessandro Tartaglia

Conditional probability distributions describe the effect of learning an initially unknown classical state through Bayesian inference. Here we demonstrate the existence of a \textit{learning transition}, having signatures in the long…

Statistical Mechanics · Physics 2026-05-13 Malte Pütz , Samuel J. Garratt , Hidetoshi Nishimori , Simon Trebst , Guo-Yi Zhu

We discuss an aspect of neural networks for the purpose of phase transition detection. To this end, we first train the neural network by feeding Ising/Potts configurations with labels of temperature so that it can predict the temperature of…

Disordered Systems and Neural Networks · Physics 2019-08-23 Kouji Kashiwa , Yuta Kikuchi , Akio Tomiya

Discrete quantum trajectories of systems under random unitary gates and projective measurements have been shown to feature transitions in the entanglement scaling that are not encoded in the density matrix. In this paper, we study the…

Disordered Systems and Neural Networks · Physics 2020-09-24 Nicolai Lang , Hans Peter Büchler

Classifying phase transitions is a fundamental and complex challenge in condensed matter physics. This work proposes a framework for identifying quantum phase transitions by combining classical shadows with unsupervised machine learning. We…

We investigate the performance of neural networks in identifying critical behaviour in the 2D Ising model with next-to-nearest neighbour interactions. We train DNN and CNN based classifiers on the Ising model configurations with nearest…

Percolation is the simplest fundamental model in statistical mechanics that exhibits phase transitions signaled by the emergence of a giant connected component. Despite its very simple rules, percolation theory has successfully been applied…

Statistical Mechanics · Physics 2015-06-09 Abbas Ali Saberi

The one-dimensional kinetic contact process with parallel update is introduced and studied by the mean-field approximation and Monte Carlo (MC) simulations. Contrary to a more conventional scenario with single active phase for 1d models…

Statistical Mechanics · Physics 2015-03-17 P. N. Timonin , G. Y. Chitov

In this Letter, we present a new strategy for applying the learning machine to study phase transitions. We train the learning machine with samples only obtained at a non-critical parameter point, aiming to establish intrinsic correlations…

Statistical Mechanics · Physics 2019-01-04 Rongxing Xu , Weicheng Fu , Hong Zhao

It has been suggested in the literature that it may be possible to locate the QCD critical end point using the Taylor series of thermodynamic variables about the $\mu=0$ axis. Since the phase transition at the critical end point is believed…

High Energy Physics - Lattice · Physics 2011-07-05 Mark Abraao York , Guy D. Moore

The phase transition present in the linear-chain and square-lattice cases of the transverse Ising model is examined. The extended coupled cluster method (ECCM) can describe both sides of the phase transition with a unified approach. The…

Condensed Matter · Physics 2009-10-31 J. Rosenfeld , N. E. Ligterink

We investigate the influence of sub-Ohmic dissipation on randomly diluted quantum Ising and rotor models. The dissipation causes the quantum dynamics of sufficiently large percolation clusters to freeze completely. As a result, the…

Strongly Correlated Electrons · Physics 2012-08-23 Manal Al-Ali , José A. Hoyos , Thomas Vojta

We apply a set of machine-learning (ML) techniques for the global exploration of the phase diagrams of two frustrated 2D Ising models with competing interactions. Based on raw Monte Carlo spin configurations generated for random system…

Statistical Mechanics · Physics 2021-12-03 Danilo Rodrigues de Assis Elias , Enzo Granato , Maurice de Koning

Recent advances in machine learning have become increasingly popular in the applications of phase transitions and critical phenomena. By machine learning approaches, we try to identify the physical characteristics in the two-dimensional…

Disordered Systems and Neural Networks · Physics 2021-01-25 Shu Cheng , Fei He , Huai Zhang , Ka-Di Zhu , Yaolin Shi

The de-confinement phase transition in SU(2) Yang-Mills theory is revisited in the vortex picture. Defining the world sheets of the confining vortices by maximal center projection, the percolation properties of the vortex lines in the…

High Energy Physics - Lattice · Physics 2009-11-10 Kurt Langfeld

Using previous results from boundary conformal field theory and integrability, a phase diagram is derived for the 2 dimensional Ising model at its bulk tri-critical point as a function of boundary magnetic field and boundary spin-coupling…

Statistical Mechanics · Physics 2008-11-26 Ian Affleck

Machine learning has been successfully used to study phase transitions. One of the most popular approaches to identifying critical points from data without prior knowledge of the underlying phases is the learning-by-confusion scheme. As…

Machine Learning · Computer Science 2023-11-16 Julian Arnold , Frank Schäfer , Niels Lörch