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The d-dimensional n-spin facilitated kinetic Ising model is studied analytically starting from usual master equations and their transformation into a Fock-space representation. The evolution of relevant operators is rewritten in terms of a…

统计力学 · 物理学 2009-10-31 Mario Einax , Michael Schulz

Transfer-matrix methods are used to study the probability distributions of spin-spin correlation functions $G$ in the two-dimensional random-field Ising model, on long strips of width $L = 3 - 15$ sites, for binary field distributions at…

统计力学 · 物理学 2009-10-31 S. L. A. de Queiroz , R. B. Stinchcombe

We combine a slave-spin approach with a mean-field theory to develop an approximate theoretical scheme to study the density, spin, and, pairing correlation functions of fermionic polar molecules. We model the polar molecules subjected to a…

量子气体 · 物理学 2020-11-13 Theja N. De Silva

We present a large deviations theory of the spin-spin correlation functions in the Random Field Ising Model on the Bethe lattice, both at finite and zero temperature. Rare events of atypically correlated variables are particularly important…

无序系统与神经网络 · 物理学 2014-07-02 Flaviano Morone , Giorgio Parisi , Federico Ricci-Tersenghi

The frequency-dependent scaling of the dispersive and dissipative parts of the alternating susceptibility is studied for spin glasses at criticality. An extension of the usual $\omega t$-scaling is proposed. Simulational data from the…

统计力学 · 物理学 2007-05-23 Malte Henkel , Michel Pleimling

A kinetic one-dimensional Ising model on a ring evolves according to a generalization of Glauber rates, such that spins at even (odd) lattice sites experience a temperature $T_{e}$ ($T_{o}$). Detailed balance is violated so that the spin…

统计力学 · 物理学 2009-11-07 B. Schmittmann , F. Schmueser

Spin glass dynamics is a strong function of spatial dimensionality $D$. The lower critical dimension is close to 2.5, so that, in two dimensions, the condensation temperature $T_\text{g}=0$, and only fluctuations are present at finite…

无序系统与神经网络 · 物理学 2026-04-20 Hongze Li , Raymond L. Orbach , Gregory G. Kenning

In the present paper we analyze the critical properties of a quantum spherical spin glass model with short range, random interactions. Since the model allows for rigorous detailed calculations, we can show how the effective partition…

无序系统与神经网络 · 物理学 2008-06-10 Pedro Castro Menezes , Alba Theumann

We consider quantum rotors or Ising spins in a transverse field on a $d$-dimensional lattice, with random, frustrating, short-range, exchange interactions. The quantum dynamics are associated with a finite moment of inertia for the rotors,…

凝聚态物理 · 物理学 2009-10-22 N. Read , S. Sachdev , J. Ye

Using exact diagonalization, Monte-Carlo, and mean-field techniques, characteristic temperature scales for ferromagnetic order are discussed for the Ising and the classical anisotropic Heisenberg model on finite lattices in one and two…

介观与纳米尺度物理 · 物理学 2011-04-12 E. Y. Vedmedenko , N. Mikuszeit , T. Stapelfeldt , R. Wieser , M. Potthoff , A. Lichtenstein , R. Wiesendanger

We investigate the dissipative loss in the $\pm J$ Ising spin glass in three dimensions through the scaling of the hysteresis area, for a maximum magnetic field that is equal to the saturation field. We perform a systematic analysis for the…

无序系统与神经网络 · 物理学 2016-08-14 Ozan S. Sarıyer , Alkan Kabakcioglu , A. Nihat Berker

Using Monte Carlo simulations (MCS) and the Migdal-Kadanoff approximation (MKA), Marinari et al. study in their comment on our paper the link overlap between two replicas of a three-dimensional Ising spin glass in the presence of a coupling…

无序系统与神经网络 · 物理学 2009-10-31 H. Bokil , A. J. Bray , B. Drossel , M. A. Moore

We perform large scale simulations of the frustrated Ising lattice gas, a three-dimensional lattice model of a structural glass, using the parallel tempering technique. We evaluate the spin and density overlap distributions, and the…

统计力学 · 物理学 2009-11-07 A. de Candia , A. Coniglio

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

We study the dynamics of a spin facilitated Ising model with long range kinetic constraints. To formulate those restrictions within an analytical approach we introduce the size of a kinetic active environment of a given spin. Based on a…

统计力学 · 物理学 2009-11-10 Beatrix M. Schulz , Steffen Trimper , Michael Schulz

We study spin glasses with Kac type interaction potential for small but finite inverse interaction range $\gamma$. Using the theoretical setup of coupled replicas, through the replica method we argue that the probability of overlap profiles…

无序系统与神经网络 · 物理学 2009-11-10 Silvio Franz , Fabio Lucio Toninelli

Understanding the low-temperature pure state structure of spin glasses remains an open problem in the field of statistical mechanics of disordered systems. Here we study Monte Carlo dynamics, performing simulations of the growth of…

统计力学 · 物理学 2021-09-15 S. Jensen , N. Read , A. P. Young

We compute and analyze couples of ground states of 3D spin glass systems with the same quenched noise but periodic and anti-periodic boundary conditions for different lattice sizes. We discuss the possible different behaviors of the system,…

无序系统与神经网络 · 物理学 2009-10-31 Enzo Marinari , Giorgio Parisi

The thermodynamics of the infinite-range Ising spin glass with p-spin interactions in the presence of an external magnetic field h is investigated analytically using the replica method. We give emphasis to the analysis of the transition…

统计力学 · 物理学 2009-10-31 Viviane M de Oliveira , J F Fontanari

We present the results of extensive Monte Carlo simulations of Ising models with algebraically decaying ferromagnetic interactions in the regime where classical critical behavior is expected for these systems. We corroborate the values for…

统计力学 · 物理学 2009-10-30 Erik Luijten , Henk W. J. Blöte