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We study the scaling behaviour of the pseudo-critical couplings for the chiral phase transition in two-flavour QCD. We show that all existing results from lattice simulations on lattices with temporal extent $N_\tau = 4$, 6 and 8 can be…

High Energy Physics - Lattice · Physics 2009-10-22 Frithjof Karsch

Phase transitions occupy a central role in physics, due both to their experimental ubiquity and their fundamental conceptual importance. The explanation of universality at phase transitions was the great success of the theory formulated by…

Statistical Mechanics · Physics 2009-11-11 Fabien Alet , Gregoire Misguich , Vincent Pasquier , Roderich Moessner , Jesper Lykke Jacobsen

Two dimensional systems with U(1) symmetry exhibit a peculiar phase, i.e., the Berezinskii-Kosterlitz-Thouless (BKT) phase. In particular situations, the BKT phase exists as an intermediate temperature phase. There have been scenarios for…

Statistical Mechanics · Physics 2015-11-10 Masamichi Nishino , Seiji Miyashita

We report on large-scale Wang-Landau Monte Carlo simulations of the critical behavior of two spin models in two- (2d) and three-dimensions (3d), namely the 2d random-bond Ising model and the pure 3d Blume-Capel model at zero crystal-field…

Statistical Mechanics · Physics 2020-12-07 N. G. Fytas , P. E. Theodorakis

The universal theory of order parameter fluctuations (delta scaling laws) is applied to a wide range of intermediate energy heavy-ion collision data obtained with INDRA. This systematic study confirms that the observed fragment production…

Nuclear Experiment · Physics 2019-08-15 J. D. Frankland , R. Bougault , A. Chbihi , S. Hudan , A. Mignon

The universal form for the average scattering intensity from systems undergoing order-disorder transitions is found by numerical integration of the Langevin dynamics. The result is nearly identical for simulations involving two different…

Statistical Mechanics · Physics 2009-10-31 Gregory Brown , Per Arne Rikvold , Martin Grant

We numerically study the metastable states of the 2d Potts model. Both of equilibrium and relaxation properties are investigated focusing on the finite size effect. The former is investigated by finding the free energy extremal point by the…

Statistical Mechanics · Physics 2011-03-09 Tomoaki Nogawa , Nobuyasu Ito , Hiroshi Watanabe

We apply a recently advocated simulation scheme that employs a local order-parameter pinning field to study quantum critical phenomena in the two-dimensional square-lattice bilayer quantum Heisenberg model. Using a world-line quantum Monte…

Statistical Mechanics · Physics 2017-01-12 Francesco Parisen Toldin , Fakher F. Assaad , Stefan Wessel

Since the landmark work of Lee and Yang, locating the zeros of the partition function in the complex magnetic-field plane has become a powerful method for studying phase transitions. Fisher later extended this approach to complex…

Statistical Mechanics · Physics 2025-10-21 Leïla Moueddene , Nikolaos G Fytas , Bertrand Berche

This is a brief survey of recent experimental studies on out-of-equilibrium scaling laws, focusing on two prominent situations where non-trivial universality classes have been identified theoretically: absorbing-state phase transitions and…

Statistical Mechanics · Physics 2014-01-27 Kazumasa A. Takeuchi

We study the universal critical behaviour near weakly first-order phase transitions for a three-dimensional model of two coupled scalar fields -- the cubic anisotropy model. Renormalization-group techniques are employed within the formalism…

High Energy Physics - Theory · Physics 2009-10-30 N. Tetradis

We have studied the critical properties of the three-dimensional random anisotropy Heisenberg model by means of numerical simulations using the Parallel Tempering method. We have simulated the model with two different disorder…

Disordered Systems and Neural Networks · Physics 2022-10-12 J. J. Ruiz-Lorenzo , M. Dudka , Yu. Holovatch

We study a continuous quasi-two-dimensional order-disorder phase transition that occurs in a simple model of a material that is inhomogeneously strained due to the presence of dislocation lines. Performing Monte Carlo simulations of…

Statistical Mechanics · Physics 2010-09-15 Charo I. Del Genio , Kevin E. Bassler

We study the finite temperature crossovers in the vicinity of a zero temperature quantum phase transition. The universal crossover functions are observables of a continuum quantum field theory. Particular attention is focussed on the high…

Condensed Matter · Physics 2008-02-03 Subir Sachdev

We study a model of two-dimensional interacting monomers which has two symmetric absorbing states and exhibits two kinds of phase transition; one is an order-disorder transition and the other is an absorbing phase transition. Our focus is…

Statistical Mechanics · Physics 2012-05-01 Su-Chan Park

We study the critical dynamics of a scalar field theory with $Z_2$ symmetry in the dynamic universality class of Model A in two and three spatial dimensions with classical-statistical lattice simulations. In particular, we measure the…

High Energy Physics - Phenomenology · Physics 2024-11-18 Leon J. Sieke , Mattis Harhoff , Sören Schlichting , Lorenz von Smekal

Symmetry-breaking quantum phase transitions lead to the production of topological defects or domain walls in a wide range of physical systems. In second-order transitions, these exhibit universal scaling laws described by the Kibble-Zurek…

Quantum Gases · Physics 2025-04-15 Matthew T. Wheeler , Hayder Salman , Magnus O. Borgh

We compare the position of an ordering transition in a metal to that in a superconductor. For the spin density wave (SDW) transition, we find that the quantum critical point shifts by order |Delta|, where Delta is pairing amplitude, so that…

Superconductivity · Physics 2010-09-22 Eun Gook Moon , Subir Sachdev

The equilibrium ensemble approach to disordered systems is used to investigate the critical behaviour of the two dimensional Ising model in presence of quenched random site dilution. The numerical transfer matrix technique in semi- infinite…

Statistical Mechanics · Physics 2009-10-31 Giorgio Mazzeo , Reimer Kuehn

We study the transverse-field Ising model on a square lattice with bond- and site-dilution at zero temperature by stochastic series expansion quantum Monte Carlo simulations. Tuning the transverse field $h$ and the dilution $p$, the quantum…

Strongly Correlated Electrons · Physics 2025-05-13 C. Krämer , M. Hörmann , K. P. Schmidt