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We study the dynamical response of a two-dimensional Ising model subject to a square-wave oscillating external field. In contrast to earlier studies, the system evolves under a so-called soft Glauber dynamic [P.A. Rikvold and M. Kolesik, J.…

Statistical Mechanics · Physics 2008-11-14 Gloria M. Buendia , Per Arne Rikvold

The phase transitions that occur in an infinite-range-interaction Ising ferromagnet in the presence of a double-Gaussian random magnetic field are analyzed. Such random fields are defined as a superposition of two Gaussian distributions,…

Disordered Systems and Neural Networks · Physics 2009-11-13 N. Crokidakis , F. D. Nobre

We propose two different macroscopic dynamics to describe the decay of metastable phases in many-particle systems with local interactions. These dynamics depend on the macroscopic order parameter $m$ through the restricted free energy…

Condensed Matter · Physics 2016-08-31 J. Lee , M. A. Novotny , P. A. Rikvold

We have performed multicanonical simulations to study the critical behavior of the two-dimensional Ising model with dipole interactions. This study concerns the thermodynamic phase transitions in the range of the interaction \delta where…

Statistical Mechanics · Physics 2012-07-18 Jacyana S. M. Fonseca , Leandro G. Rizzi , Nelson A. Alves

There are some particular one-dimensional models, such as the Ising-Heisenberg spin models with a variety of chain structures, which exhibit unexpected behaviors quite similar to the first and second order phase transition, which could be…

Statistical Mechanics · Physics 2017-12-06 S. M. de Souza , Onofre Rojas

We show that the dynamics of kinetically constrained models of glass formers takes place at a first-order coexistence line between active and inactive dynamical phases. We prove this by computing the large-deviation functions of suitable…

Statistical Mechanics · Physics 2009-11-13 J. P. Garrahan , R. L. Jack , V. Lecomte , E. Pitard , K. van Duijvendijk , F. van Wijland

The metal--insulator phase transition is considered on the basis of Ginzburg-Landau type equations with two different order parameters. An inclusion of magnetic field in this picture is an important step for understanding of behavior of the…

Strongly Correlated Electrons · Physics 2016-07-21 Leonid Dubovskii

We show that tailoring the dissipative environment allows to change the features of continuous quantum phase transitions and, even, induce first order transitions in ferromagnetic spin chains. In particular, using a numerically exact…

Quantum Physics · Physics 2023-03-29 C. A. Perroni , A. De Candia , V. Cataudella , R. Fazio , G. De Filippis

We study, using Monte Carlo dynamics, the time ($t$) dependent average magnetization per spin $m(t)$ behavior of 2-D kinetic Ising model under a binary ($\pm h_0$) stochastic field $h(t)$. The time dependence of the stochastic field is such…

Statistical Mechanics · Physics 2013-12-02 Asim Ghosh , Bikas K. Chakrabarti

Fourth-order cumulants of physical quantities have been used to characterize the nature of a phase transition. In this paper we report some Monte Carlo simulations to illustrate the behavior of fourth-order cumulants of magnetization and…

Statistical Mechanics · Physics 2015-06-25 Shan-Ho Tsai , Silvio R. A. Salinas

We theoretically study the dynamics of a transverse-field Ising chain with power-law decaying interactions characterized by an exponent $\alpha$, which can be experimentally realized in ion traps. We focus on two classes of emergent…

Quantum Gases · Physics 2018-04-04 Bojan Zunkovic , Markus Heyl , Michael Knap , Alessandro Silva

We consider a system of $N$ non-crossing Brownian particles in one dimension. We find the exact rate function that describes the long-time large deviation statistics of their occupation fraction in a finite interval in space. Remarkably, we…

Statistical Mechanics · Physics 2023-06-28 Soheli Mukherjee , Naftali R. Smith

The statement that any phase transition is related to the appearance or disappearance of long-range spatial correlations precludes a finite transition temperature in one-dimensional (1D) systems. In this paper we demonstrate that the 1D…

Statistical Mechanics · Physics 2020-06-02 L. S. Ferreira , L. N. Jorge , Cláudio J. DaSilva , Minos A. Neto , A. A. Caparica

Active work measures how far the local self-forcing of active particles translates into real motion. Using Population Monte Carlo methods, we investigate large deviations in the active work for repulsive active Brownian disks. Minimizing…

Statistical Mechanics · Physics 2019-02-12 Takahiro Nemoto , Étienne Fodor , Michael E. Cates , Robert L. Jack , Julien Tailleur

The one-dimensional Ising model in an external magnetic field with uniform long-range interactions and random short-range interactions satisfying bimodal annealed distributions is studied. This generalizes the random model discussed by…

Statistical Mechanics · Physics 2009-10-31 A. P. Vieira , L. L. Goncalves

The nonequilibrium dynamic phase transition, in the two dimensional site diluted kinetic Ising model in presence of an oscillating magnetic field, has been studied by Monte Carlo simulation. The projections of dynamical phase surface are…

Statistical Mechanics · Physics 2013-01-15 Muktish Acharyya

In this paper we study activity fluctuations in an asymmetric death-branching process in one-dimension. The model, which is a variant of the asymmetric Glauber model, has already been studied in [12]. It is known that in the low-activity…

Statistical Mechanics · Physics 2019-06-21 Pegah Torkaman , Farhad H. Jafarpour

In this paper we consider an approach, which allows researching a processes of order-disorder transition in various systems (with any distribution of the exchange integrals signs) in the frame of Ising model. A new order parameters, which…

Statistical Mechanics · Physics 2012-05-18 P. D. Andriushchenko , K. V. Nefedev

We present a numerical and theoretical study that supports and explains recent experimental results on anomalous magnetization fluctuations of a uniaxial ferromagnetic film in its low-temperature phase, which is forced by an oscillating…

Materials Science · Physics 2017-10-18 Gloria M. Buendia , Per Arne Rikvold

We revisit the one-dimensional ferromagnetic Ising spin-chain with a finite number of spins and periodic boundaries and derive analytically and verify numerically its various stationary and dynamical properties at different temperatures. In…

Statistical Mechanics · Physics 2025-04-24 Varazdat Stepanyan , Andreas F. Tzortzakakis , David Petrosyan , Armen E. Allahverdyan
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