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In this paper we investigate the universality and scaling properties of the well-known quantities in classical statistical mechanics near the quantum phase transition point. We show that transverse susceptibility and derivatives of…

Strongly Correlated Electrons · Physics 2015-03-17 R. Jafari

We demonstrate, by means of a convolutional neural network, that the features learned in the two-dimensional Ising model are sufficiently universal to predict the structure of symmetry-breaking phase transitions in considered systems…

Statistical Mechanics · Physics 2020-11-25 Dimitrios Bachtis , Gert Aarts , Biagio Lucini

We use an optimised hopping parameter expansion for the free energy (linear delta expansion) to study the phase transitions at finite temperature and finite charge density in a global U(1) scalar Higgs sector on the lattice at large lattice…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. S. Evans , H. F. Jones , D. Winder

Different choices exist for the renormalisation group resummation in the determination of $\alpha_s$ from hadronic $\tau$ decays: namely fixed-order (FOPT) and contour-improved perturbation theory (CIPT). The two approaches lead to…

High Energy Physics - Phenomenology · Physics 2015-05-13 Matthias Jamin

The critical behavior of three-state statistical models invariant under the full symmetry group $S_3$ and its dependence on space dimension have been a matter of interest and debate. In particular, the phase transition of the 3-state Potts…

Statistical Mechanics · Physics 2025-01-22 Jose Gaite

A first order phase transition usually proceeds by nucleating bubbles of the new phase which then rapidly expand. In confining gauge theories with a gravity dual, the deconfined phase is often described by a black hole. If one starts in…

High Energy Physics - Theory · Physics 2010-10-27 Gary T. Horowitz , Matthew M. Roberts

Some time ago, Svetitsky and Yaffe have argued that -- if the deconfinement phase transition of a (d+1)-dimensional Yang-Mills theory with gauge group G is second order -- it should be in the universality class of a d-dimensional spin model…

High Energy Physics - Lattice · Physics 2009-11-10 K. Holland , M. Pepe , U. -J. Wiese

Numerically efficient transfer matrix technique for studying statistics of coherent adsorbates on small nanotubes has been developed. In the framework of a realistic microscopic model fitted to the data of ab initio calculations taken from…

Mesoscale and Nanoscale Physics · Physics 2010-10-05 V. I. Tokar , H. Dreyssé

We study the full distribution of $A=\int_{0}^{T}x^{n}\left(t\right)dt$, $n=1,2,\dots$, where $x\left(t\right)$ is an Ornstein-Uhlenbeck process. We find that for $n>2$ the long-time ($T \to \infty$) scaling form of the distribution is of…

Statistical Mechanics · Physics 2022-01-21 Naftali R. Smith

In statistical physics, one of the standard methods to study second order phase transitions is the renormalization group that usually leads to an expansion around the corresponding fully connected solution. Unfortunately, often in…

Statistical Mechanics · Physics 2024-12-02 Maria Chiara Angelini , Saverio Palazzi , Giorgio Parisi , Tommaso Rizzo

Grokking -- the delayed onset of generalization after early memorization -- is often described with phase-transition language, but that claim has lacked falsifiable finite-size inputs. Here we supply those inputs by treating the group order…

Machine Learning · Computer Science 2026-03-27 Yuda Bi , Chenyu Zhang , Qiheng Wang , Vince D Calhoun

The finite-size scaling algorithm based on bulk and surface renormalization of de Oliveira (1992) is tested on q-state Potts models in dimensions D = 2 and 3. Our Monte Carlo data clearly distinguish between first- and second-order phase…

Condensed Matter · Physics 2016-08-31 P. M. C. de Oliveira , S. M. Moss de Oliveira , C. E. Cordeiro , D. Stauffer

We study the time evolution of a conformal field theory deformed by a relevant operator under a smooth but fast quantum quench which brings it to the conformal point. We argue that when the quench time scale $\delta t$ is small compared to…

High Energy Physics - Theory · Physics 2017-10-05 Sumit R. Das , Damian A. Galante , Robert C. Myers

The phase boundaries for corner wetting (filling) in square and diagonal lattice Ising models are exactly determined and show a universal shift relative to wetting near the bulk criticality. More generally, scaling theory predicts that the…

Statistical Mechanics · Physics 2009-11-07 A. O. Parry , A. J. Wood , E. Carlon , A. Drzewiński

Hysteresis is studied in a disordered Ising model in which diffusion of antiferromagnetic bonds is allowed in addition to spin flips. Saturation behavior changes to a figure-eight loop when diffusion is introduced. The upper and lower…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. Capeta , D. K. Sunko

A microscopic calculation of ground state entanglement for the XY and Heisenberg models shows the emergence of universal scaling behavior at quantum phase transitions. Entanglement is thus controlled by conformal symmetry. Away from the…

Quantum Physics · Physics 2007-05-23 J. I. Latorre , E. Rico , G. Vidal

We establish the functional Renormalization Group as an exploratory tool to investigate a possible phase transition between a pre-geometric discrete phase and a geometric continuum phase in quantum gravity. In this paper, based on the…

General Relativity and Quantum Cosmology · Physics 2014-12-03 Astrid Eichhorn , Tim Koslowski

Using the renormalization group approach, we consider the $O(N)\otimes O(M)$ model in four and more dimensions. We find that independently on $N$ and $M$, for $N\geq M\geq 2$, a transition can be of both the first and second order. In…

Strongly Correlated Electrons · Physics 2021-05-04 A. O. Sorokin

We introduce a prototype model for globally-coupled oscillators in which each element is given an oscillation frequency and a preferential oscillation direction (polarization), both randomly distributed. We found two collective transitions:…

Optics · Physics 2009-11-10 Alessandro Scire , Pere Colet , Maxi San Miguel

We study nonequilibrium phase transitions of reaction-diffusion systems defined on randomly diluted lattices, focusing on the transition across the lattice percolation threshold. To develop a theory for this transition, we combine classical…

Statistical Mechanics · Physics 2009-04-27 Man Young Lee , Thomas Vojta
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