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We consider by means of Monte Carlo simulations the relaxation in the paramagnetic phase of the anti-ferromagnetic Ising model on a triangular lattice and of a fully-frustrated Ising model on a square lattice. In contradistinction to…

统计力学 · 物理学 2012-02-10 Jean-Charles Walter , Christophe Chatelain

We study the out-of-equilibrium dynamics of the fully-frustrated XY model. At equilibrium, this model undergoes two phase transitions at two very close temperatures: a Kosterlitz-Thouless topological transition and a second-order phase…

统计力学 · 物理学 2009-10-22 Jean-Charles Walter , Christophe Chatelain

We study the spin-spin correlation function in or near the T=0 ground state of the antiferromagnetic Ising model on a triangular lattice. At zero temperature its modulation on the sublattices gives rise to two Bragg peaks in the structure…

统计力学 · 物理学 2008-02-03 Jesper Lykke Jacobsen , Hans C. Fogedby

We numerically study the dynamical properties of fully frustrated models in 2 and 3 dimensions. The results obtained support the hypothesis that the percolation transition of the Kasteleyn-Fortuin clusters corresponds to the onset of…

统计力学 · 物理学 2009-10-31 A. Fierro , G. Franzese , A. de Candia , A. Coniglio

We study the dynamical properties of the fully frustrated Ising model. Due to the absence of disorder the model, contrary to spin glass, does not exhibit any Griffiths phase, which has been associated to non-exponential relaxation dynamics.…

统计力学 · 物理学 2009-10-30 A. Fierro , A. de Candia , A. Coniglio

We study the autocorrelation function of a conserved spin system following a quench at the critical temperature. Defining the correlation length L(t)\sim t^{1/z}, we find that for times t' and t satisfying L(t') << L(t) << L(t')^\phi well…

统计力学 · 物理学 2009-11-10 Clément Sire

We study the dynamics of the critical two-dimensional fully-frustrated Ising model by means of Monte Carlo simulations. The dynamical exponent is estimated at equilibrium and is shown to be compatible with the value $z_c=2$. In a second…

统计力学 · 物理学 2008-07-12 Jean-Charles Walter , Christophe Chatelain

For the two-dimensional random field Ising model (RFIM) with bimodal (i.e., two-valued) external field, we prove exponential decay of correlations either (1) when the temperature is larger than the critical temperature of the Ising model…

概率论 · 数学 2018-09-26 Federico Camia , Jianping Jiang , Charles M. Newman

The low temperature dynamics of the two- and three-dimensional Ising spin glass model with Gaussian couplings is investigated via extensive Monte Carlo simulations. We find an algebraic decay of the remanent magnetization. For the…

凝聚态物理 · 物理学 2009-10-28 J. Kisker , L. Santen , M. Schreckenberg , H. Rieger

The fractal dimensions and the percolation exponents of the geometrical spin clusters of like sign at criticality, are obtained numerically for an Ising model with temperature-dependent annealed bond dilution, also known as the thermalized…

统计力学 · 物理学 2012-04-03 S. Davatolhagh , M. Moshfeghian , A. A. Saberi

The truncated two-point function of the nearest-neighbor ferromagnetic Ising model on $\mathbb Z^d$ ($d\ge3$) in its pure phases is proven to decays exponentially fast throughout the ordered regime ($T<T_c$). Together with known results,…

数学物理 · 物理学 2018-08-02 Michael Aizenman , Hugo Duminil-Copin

The low temperature dynamics of the three dimensional Ising spin glass in zero field with a discrete bond distribution is investigated via MC simulations. The thermoremanent magnetization is found to decay algebraically and the temperature…

高能物理 - 格点 · 物理学 2019-06-05 Heiko Rieger

The low temperature dynamics of the three dimensional Ising spin glass in zero field with a discrete bond distribution is investigated via MC simulations. The thermoremanent magnetization is found to decay algebraically and the temperature…

凝聚态物理 · 物理学 2009-10-22 Heiko Rieger

An extended ensemble Monte Carlo algorithm is proposed by introducing a violation of the detailed balance condition to the update scheme of the inverse temperature in simulated tempering. Our method, irreversible simulated tempering, is…

统计力学 · 物理学 2016-09-13 Yuji Sakai , Koji Hukushima

The critical relaxation from the low-temperature ordered state of the three-dimensional fully frustrated Ising model on a simple cubic lattice has been studied using the short time dynamics method. Particles with the periodic boundary…

统计力学 · 物理学 2016-11-10 V. A. Mutailamov , A. K. Murtazaev

Equilibrium and non-equilibrium relaxation behaviors of two-dimensional superconducting arrays are investigated via numerical simulations at low temperatures in the presence of incommensurate transverse magnetic fields, with frustration…

统计力学 · 物理学 2009-11-13 Gun Sang Jeon , Sung Jong Lee , Bongsoo Kim , M. Y. Choi

We present a detailed study of the critical properties of the 2-D XY model with maximal frustration in a square lattice. We use extensive Monte Carlo simulations to study the thermodynamics of the spin and chiral degrees of freedom,…

凝聚态物理 · 物理学 2009-10-22 G. Ramirez-Santiago , Jorge V. José

Using Monte Carlo simulations, we have studied aging phenomena in three-dimensional Gaussian Ising spin-glass model focusing on quasi-equilibrium behavior of the spin auto-correlation functions. Weak violation of the time translational…

无序系统与神经网络 · 物理学 2015-06-25 H. Takayama , H. Yoshino , T. Komori

We consider the three-dimensional randomly diluted Ising model and study the critical behavior of the static and dynamic spin-spin correlation functions (static and dynamic structure factors) at the paramagnetic-ferromagnetic transition in…

无序系统与神经网络 · 物理学 2009-11-13 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

We have studied numerically the appearance of multiscaling behavior in the three-dimensional ferromagnetic Ising site diluted model, in the form of a multifractal distribution of the decay exponents for the spatial correlation functions at…

无序系统与神经网络 · 物理学 2024-01-17 E. Marinari , V. Martin-Mayor , G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo
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