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We study the equilibrium and dynamic phase transition properties of two-dimensional Ising model on a decorated triangular lattice under the influence of a time-dependent magnetic field composed of a periodic square wave part plus a time…

Statistical Mechanics · Physics 2023-07-25 Yusuf Yüksel

Non-reciprocal interactions are a generic feature of non-equilibrium systems. We define a non-reciprocal generalization of the kinetic Ising model in one spatial dimension. We solve the model exactly using two different approaches for…

Statistical Mechanics · Physics 2025-04-02 Gabriel Artur Weiderpass , Mayur Sharma , Savdeep Sethi

We study circle maps with a flat interval where the critical exponents at the two boundary points of the flat spot might be different. The space of such systems is partitioned in two connected parts whose common boundary only depends on the…

Dynamical Systems · Mathematics 2019-07-26 Liviana Palmisano , Bertuel Tangue

We find novel phase transitions and critical phenomena that occur only outside the linear-response regime of current-driven nonequilibrium states. We consider the strongly-interacting (3+1)-dimensional N=4 large-Nc SU(Nc) supersymmetric…

High Energy Physics - Theory · Physics 2015-06-04 Shin Nakamura

The Glauber model on a one-dimensional lattice with boundaries (for the ferromagnetic- and anti-ferromagnetic case) is considered. The large-time behaviour of the one-point function is studied. It is shown that, for any positive…

Statistical Mechanics · Physics 2009-11-07 Mohammad Khorrami , Amir Aghamohammadi

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

In this paper we develop a detailed analysis of critical prewetting in the context of the two-dimensional Ising model. Namely, we consider a two-dimensional nearest-neighbor Ising model in a $2N\times N$ rectangular box with a boundary…

Probability · Mathematics 2022-10-04 Dmitry Ioffe , Sébastien Ott , Senya Shlosman , Yvan Velenik

We review recent advances in understanding the universal scaling properties of non-equilibrium phase transitions in non-ergodic disordered systems. We discuss dynamical critical points (also known as eigenstate phase transitions) between…

Disordered Systems and Neural Networks · Physics 2017-04-28 S. A. Parameswaran , Andrew C. Potter , Romain Vasseur

The early-time critical dynamics of continuous, Ising-like phase transitions is studied numerically for two-dimensional lattices of coupled chaotic maps. Emphasis is laid on obtaining accurate estimates of the dynamic critical exponents…

adap-org · Physics 2009-10-30 Philippe Marcq , Hugues Chate

Dynamical phase transitions (DPTs) characterize critical changes in system behavior occurring at finite times, providing a lens to study nonequilibrium phenomena beyond conventional equilibrium physics. While extensively studied in quantum…

Physics and Society · Physics 2024-12-10 Jiazhen Liu , Nathaniel M. Aden , Debasish Sarker , Chaoming Song

The standard phase-ordering process is obtained by quenching a system, like the Ising model, to below the critical point. This is usually done with periodic boundary conditions to insure ergodicity breaking in the low temperature phase.…

Statistical Mechanics · Physics 2020-07-29 Annalisa Fierro , Antonio Coniglio , Marco Zannetti

We demonstrate that absorbing phase transitions in one dimension may be induced by the dynamics of a single site. As an example we consider a one-dimensional model of diffusing particles, where a single site at the boundary evolves…

Statistical Mechanics · Physics 2008-04-23 A. C. Barato , H. Hinrichsen

We use a non-equilibrium simulation method to study the spin glass transition in three-dimensional Ising spin glasses. The transition point is repeatedly approached at finite velocity $v$ (temperature change versus time) in Monte Carlo…

Disordered Systems and Neural Networks · Physics 2015-08-26 C. -W. Liu , A. Polkovnikov , A. W. Sandvik , A. P. Young

We study nonequilibrium dynamical models with two absorbing states: interacting monomer-dimer models, probabilistic cellular automata models, nonequilibrium kinetic Ising models. These models exhibit a continuous phase transition from an…

Statistical Mechanics · Physics 2009-10-30 WonMuk Hwang , Sungchul Kwon , Heungwon Park , Hyunggyu Park

Recent advances in conformal field theory and critical phenomena have focused on the characterization of boundary or defects in a conformally invariant system. In this Letter we study the critical behavior of the three-dimensional Ising…

Statistical Mechanics · Physics 2025-09-10 Dorian Przetakiewicz , Stefan Wessel , Francesco Parisen Toldin

We describe a financial market model which shows a non-equilibrium phase transition. Near the transition punctuated equilibrium behaviour is seen, with avalanches occuring on all scales. This scaling is described by an exponent very near 1.…

adap-org · Physics 2015-06-24 A. Ponzi , Y. Aizawa

We study the effect of the voltage bias on the ferromagnetic phase transition in a one-dimensional itinerant electron system. The applied voltage drives the system into a nonequilibrium steady state with a non-zero electric current. The…

Strongly Correlated Electrons · Physics 2009-11-11 D. E. Feldman

At a critical point of a second order phase transition the intrinsic energy surface is flat and there is no stable minimum value of the deformation. However, for a finite system, we show that there is an effective deformation which can…

Nuclear Theory · Physics 2009-11-10 A. Leviatan , J. N. Ginocchio

Using Monte Carlo simulations we study the two-dimensional Ising model on triangular, square, and hexagonal lattices with various topologies. We focus on the behavior of the magnetic susceptibility and of the specific heat near the critical…

Statistical Mechanics · Physics 2023-08-09 Oleg A. Vasilyev , Anna Maciolek , S. Dietrich

We study the relaxation of the bi-dimensional kinetically constrained spiral model. We show that due to the reversibility of the dynamic rules any unblocked state fully decorrelates in finite times irrespectively of the system being in the…

Statistical Mechanics · Physics 2009-09-28 Federico Corberi , Leticia F. Cugliandolo
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