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We study a non linear sigma model $O(N)\otimes O(2)/O(N-2)\otimes O(2)$ describing the phase transition of N-components helimagnets up to two loop order in $D=2+\epsilon$ dimensions. It is shown that a stable fixed point exists as soon as…

Condensed Matter · Physics 2010-03-25 P. Azaria , B. Delamotte , F. Delduc , Th. Jolicoeur

Nonequilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and Kawasaki-type spin-exchange kinetics at infinite temperature T are investigated here in one dimension from the point of view of…

Statistical Mechanics · Physics 2015-06-24 Nora Menyhard , Geza Odor

We present a systematic study of moment evolution in multidimensional stochastic difference systems, focusing on characterizing systems whose low-order moments diverge in the neighborhood of a stable fixed point. We consider systems with a…

Mathematical Physics · Physics 2009-11-10 Dennis M. Wilkinson

The universality class, even the order of the transition, of the two-dimensional Ising model depends on the range and the symmetry of the interactions (Onsager model, Baxter-Wu model, Turban model, etc.), but the critical temperature is…

Statistical Mechanics · Physics 2009-11-13 Laszlo Kornyei , Michel Pleimling , Ferenc Igloi

This paper introduces a position-space renormalization-group approach for nonequilibrium systems and applies the method to a driven stochastic one-dimensional gas with open boundaries. The dynamics are characterized by three parameters: the…

Statistical Mechanics · Physics 2009-11-07 Ivan T. Georgiev , Susan R. McKay

The Non-equilibrium Self-consistent Generalized Langevin Equation theory of irreversible relax- ation [Phys. Rev. E (2010) 82, 061503; ibid. 061504] is applied to the description of the non- equilibrium processes involved in the spinodal…

Soft Condensed Matter · Physics 2015-10-21 José Manuel Olais-Govea , Leticia López-Flores , Magdaleno Medina-Noyola

We introduce and analyse the kinetic random-field nonreciprocal Ising model, which incorporates bimodal (double-delta) diffusive disorder along with pairwise nonreciprocal interactions between two different species. Using mean-field and…

Statistical Mechanics · Physics 2026-03-09 Arjun R , A. V. Anil Kumar

We study fixed points of the easy-plane $\mathbb{CP}^{N-1}$ field theory by combining quantum Monte Carlo simulations of lattice models of easy-plane SU($N$) superfluids with field theoretic renormalization group calculations, by using…

Strongly Correlated Electrons · Physics 2017-05-10 Jonathan D'Emidio , Ribhu K. Kaul

In thermal equilibrium the dynamics of phase transitions is largely controlled by fluctuation-dissipation relations: On the one hand, friction suppresses fluctuations, while on the other hand the thermal noise is proportional to friction…

Statistical Mechanics · Physics 2024-09-17 Carl Philipp Zelle , Romain Daviet , Achim Rosch , Sebastian Diehl

We consider driven many-particle models which have a phase transition between an active and an absorbing phase. Like previously studied models, we have particle conservation, but here we introduce an additional symmetry - when two particles…

Statistical Mechanics · Physics 2017-01-18 Daniel Hexner , Dov Levine

We introduce a class of exactly solvable models which exhibit an ordering noise-induced phase transition driven by an entropic mechanism. In contrast with previous studies, order does not appear in this case as a result of an instability of…

Condensed Matter · Physics 2007-05-23 M. Ibanes , J. Garcia-Ojalvo , R. Toral , J. M. Sancho

We use scale invariant scattering theory to obtain the exact equations determining the renormalization group fixed points of the two-dimensional $CP^{N-1}$ model, for $N$ real. Also due to special degeneracies at $N=2$ and 3, the space of…

Statistical Mechanics · Physics 2022-02-15 Youness Diouane , Noel Lamsen , Gesualdo Delfino

A system of N classical particles in a 2D periodic cell interacting via long-range attractive potential is studied. For low energy density $U$ a collapsed phase is identified, while in the high energy limit the particles are homogeneously…

Statistical Mechanics · Physics 2016-08-31 Alessandro Torcini , Mickael Antoni

We present a novel approach within the functional renormalization group framework for computing critical exponents that characterize the time evolution of out-of-equilibrium many-body systems. Our approach permits access to quantities…

Statistical Mechanics · Physics 2026-01-28 Friederike Ihssen , Valerio Pagni , Jamir Marino , Sebastian Diehl , Nicolò Defenu

We investigate the dynamic phase transition in two-dimensional Ising models whose equilibrium characteristics are influenced by either anisotropic interactions or quenched defects. The presence of anisotropy reduces the dynamical critical…

Statistical Mechanics · Physics 2025-03-07 Federico Ettori , Thibaud Coupé , Timothy J. Sluckin , Ezio Puppin , Paolo Biscari

We investigate the critical endpoints of the (3+1)-dimensional $Z_2$ gauge-Higgs model at finite density together with the (2+1)-dimensional one at zero density as a benchmark using the tensor renormalization group method. We focus on the…

High Energy Physics - Lattice · Physics 2022-05-18 Shinichiro Akiyama , Yoshinobu Kuramashi

The Bell-Lavis model for liquid water is investigated through numerical simulations. The lattice-gas model on a triangular lattice presents orientational states and is known to present a highly bonded low density phase and a loosely bonded…

Statistical Mechanics · Physics 2015-05-13 Carlos E. Fiore , Marcia Szortyka , Marcia C. Barbosa , Vera B. Henriques

The non-equilibrium phase transition in driven two-dimensional Ising models with two different geometries is investigated using Monte Carlo methods as well as analytical calculations. The models show dissipation through fluctuation induced…

Statistical Mechanics · Physics 2012-05-23 Sebastian Angst , Alfred Hucht , Dietrich E. Wolf

We briefly introduce hysteresis in spatially extended systems and the dynamic phase transition observed as the frequency of the oscillating field increases beyond a critical value. Hysteresis and the decay of metastable phases are closely…

Statistical Mechanics · Physics 2007-05-23 P. A. Rikvold , G. Korniss , C. J. White , M. A. Novotny , S. W. Sides

We investigate the nonequilibrium roughening transition of a one-dimensional restricted solid-on-solid model by directly sampling the stationary probability density of a suitable order parameter as the surface adsorption rate varies. The…

Statistical Mechanics · Physics 2012-05-10 J. Ricardo G. Mendonça