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Universality has been a key concept for the classification of equilibrium critical phenomena, allowing associations among different physical processes and models. When dealing with non-equilibrium problems, however, the distinction in…

Statistical Mechanics · Physics 2014-06-13 Sofia Biagi , Chaouqi Misbah , Paolo Politi

We analyze a controversial question about the universality class of the three-dimensional Ising model with long-range-correlated disorder. Whereas both analytical and numerical studies performed so far support an extended Harris criterion…

Disordered Systems and Neural Networks · Physics 2009-11-11 D. Ivaneyko , B. Berche , Yu. Holovatch , J. Ilnytskyi

We present a detailed study of the finite momentum dynamics of the $O(4)$ critical point of QCD, which lies in the dynamic universality class of Model G. The critical scaling of the model is analyzed in multiple dynamical channels. For…

High Energy Physics - Lattice · Physics 2023-07-18 Adrien Florio , Eduardo Grossi , Derek Teaney

We consider the hyperuniform model of d-dimensional integer lattice perturbed by independent random variables and we investigate the large scale asymptotic fluctuations of smoothed versions of the usual counting statistics, specifically of…

Probability · Mathematics 2025-03-05 Gabriel Mastrilli

Simulation data are analyzed for four 3D spin-$1/2$ Ising models: on the FCC lattice, the BCC lattice, the SC lattice and the Diamond lattice. The observables studied are the susceptibility, the reduced second moment correlation length, and…

Statistical Mechanics · Physics 2019-10-10 P. H. Lundow , I. A. Campbell

The critical dynamics of Model H with a conserved order parameter coupled to a transverse momentum density which describes the gas-liquid or binary-fluid transitions is investigated within the functional renormalization group approach…

High Energy Physics - Phenomenology · Physics 2024-10-08 Yong-rui Chen , Yang-yang Tan , Wei-jie Fu

We consider two-dimensional Ising models with randomly distributed ferromagnetic bonds and study the local critical behavior at defect lines by extensive Monte Carlo simulations. Both for ladder and chain type defects, non-universal…

Statistical Mechanics · Physics 2007-05-23 Ferenc Szalma , Ferenc Igloi

We study the off-equilibrium critical dynamics of the three dimensional diluted Ising model. We compute the dynamical critical exponent $z$ and we show that it is independent of the dilution only when we take into account the…

Disordered Systems and Neural Networks · Physics 2009-10-31 G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo

Universality is a well-established central concept of equilibrium physics. However, in systems far away from equilibrium a deeper understanding of its underlying principles is still lacking. Up to now, a few classes have been identified.…

Statistical Mechanics · Physics 2015-10-19 Vladislav Popkov , Andreas Schadschneider , Johannes Schmidt , Gunter M. Schütz

We consider space-time correlations in driven diffusive systems which undergo a fluctuation into a regime with an atypically large current or dynamical activity. For a single conserved mass we show that the spatio-temporal density…

Statistical Mechanics · Physics 2017-01-25 D. Karevski , G. M. Schütz

Diffusion-limited erosion is a distinct universality class of fluctuating interfaces. Although its dynamical exponent $z=1$, none of the known variants of conformal invariance can act as its dynamical symmetry. In $d=1$ spatial dimensions,…

Statistical Mechanics · Physics 2017-01-06 Malte Henkel

In this work we generalize the etching model (Mello et al 2001 Phys. Rev. E 63 041113) to d + 1 dimensions. The dynamic exponents of this model are compatible with those of the Kardar-Parisi-Zhang universality class. We investigate the…

Statistical Mechanics · Physics 2017-07-19 Evandro A Rodrigues , Bernardo A Mello , Fernando A Oliveira

We study the connection between the exponent of the order parameter of the Mott insulator-to-superfluid transition occurring in the two-dimensional Bose-Hubbard model, and the divergence exponents of its one- and two-particle correlation…

Statistical Mechanics · Physics 2018-03-14 Sören Sanders , Martin Holthaus

We investigate the dynamic critical exponent of the two-dimensional Ising model defined on a curved surface with constant negative curvature. By using the short-time relaxation method, we find a quantitative alteration of the dynamic…

Statistical Mechanics · Physics 2009-11-11 Hiroyuki Shima , Yasunori Sakaniwa

We present a finite temperature Monte Carlo study of the XY-model in the vortex representation, and study its dynamical critical behavior in two limits. The first neglects magnetic field fluctuations, corresponding to the absence of…

Superconductivity · Physics 2016-08-31 Jack Lidmar , Mats Wallin , Carsten Wengel , S. M. Girvin , A. P. Young

We show that spatial resolved dissipation can act on $d$-dimensional spin systems in the Ising universality class by qualitatively modifying the nature of their critical points. We consider power-law decaying spin losses with a Lindbladian…

Statistical Mechanics · Physics 2022-08-17 Jamir Marino

The two-dimensional $J$-$J^\prime$ dimerized quantum Heisenberg model is studied on the square lattice by means of (stochastic series expansion) quantum Monte Carlo simulations as a function of the coupling ratio \hbox{$\alpha=J^\prime/J$}.…

Statistical Mechanics · Physics 2008-09-22 Sandro Wenzel , Leszek Bogacz , Wolfhard Janke

We study the critical dynamics of the three-dimensional Heisenberg model with random cubic anisotropy in the out-of-equilibrium and equilibrium regimes. Analytical approaches based on field theory predict that the universality class of this…

Disordered Systems and Neural Networks · Physics 2025-08-04 A. Astillero , J. J. Ruiz-Lorenzo

Universal critical properties can manifest themselves not only in spatial but also in temporal directions. It has been found that critical point with emergent symmetry exhibits intriguing spatial critical properties characterized by two…

Statistical Mechanics · Physics 2025-02-10 Yu-Rong Shu , Ting Liao , Shuai Yin

A critical point of second order, belonging to the universality class of the 3d Ising model, has recently been advocated as a strong candidate for the critical behaviour (at high temperatures) of QCD with non-zero quark masses. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. G. Antoniou , Y. F. Contoyiannis , F. K. Diakonos