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Related papers: Ordering temperatures of Ising Spin Glasses

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On the basis of microscopic statistical mechanics of simple liquids the orientational interaction between clusters consisting of a particle and its nearest neighbors is estimated. It is shown that there are ranges of density and temperature…

Disordered Systems and Neural Networks · Physics 2009-11-10 N. M. Chtchelkatchev , V. N. Ryzhov , T. I. Schelkacheva , E. E. Tareyeva

In this work, we show that, due to the alternating orientation of the spins in the ground state of the artificial square spin ice, the influence of a set of spins at a certain distance of a reference spin decreases faster than the expected…

Statistical Mechanics · Physics 2023-08-31 C. W. Morais , D. N. de Freitas , A. L. Mota , E. C. Bastone

We numerically study the non-equilibrium dynamics of the three dimensional Heisenberg Edwards-Anderson spin glass following a sudden quench to its low temperature phase. The subsequent aging behavior of the system is analyzed in detail, and…

Disordered Systems and Neural Networks · Physics 2009-11-10 L. Berthier , A. P. Young

Ising spin glasses with bimodal and Gaussian near-neighbor interaction distributions are studied through numerical simulations. The non-self-averaging (normalized inter-sample variance) parameter $U_{22}(T,L)$ for the spin glass…

Disordered Systems and Neural Networks · Physics 2016-01-20 P. H. Lundow , I. A. Campbell

In addition to the standard scaling rules relating critical exponents at second order transitions, hyperscaling rules involve the dimension of the model. It is well known that in canonical Ising models hyperscaling rules are modified above…

Disordered Systems and Neural Networks · Physics 2019-10-10 P. H. Lundow , I. A. Campbell

Ordering of the Heisenberg spin glass in four dimensions (4D) with the nearest-neighbor Gaussian coupling is investigated by equilibrium Monte Carlo simulations, with particular attention to its spin and chiral orderings. It is found that…

Disordered Systems and Neural Networks · Physics 2015-08-18 Hikaru Kawamura , Shinichirou Nishikawa

The slow non-equilibrium dynamics of the Edwards-Anderson spin glass model on a hierarchical lattice is studied by means of a coarse-grained description based on renormalization concepts. We evaluate the isothermal aging properties and show…

Disordered Systems and Neural Networks · Physics 2009-11-10 Falk Scheffler , Hajime Yoshino , Philipp Maass

We study the thermodynamics of discrete breathers by transforming a lattice of weakly coupled nonlinear oscillators into an effective Ising pseudospin model. We introduce a replica ensemble and investigate the effective system…

Statistical Mechanics · Physics 2007-05-23 M. Eleftheriou , G. P. Tsironis

Thermodynamic properties of a spin ice model on a Kagom\'e lattice are obtained from dynamic simulations and compared with properties in square lattice spin ice. The model assumes three-component Heisenberg-like dipoles of an array of…

Strongly Correlated Electrons · Physics 2015-06-22 G. M. Wysin , A. R. Pereira , W. A. Moura-Melo , C. I. L. de Araujo

We address the problem of chaotic temperature dependence in disordered glassy systems at equilibrium by following states of a random-energy random-entropy model in temperature; of particular interest are the crossings of the free-energies…

Disordered Systems and Neural Networks · Physics 2015-06-24 F. Krzakala , O. C. Martin

We considered the Ising 1D chain in an external magnetic field taking into account the nearest and next-nearest neighbor interactions. By the method of Kramers--Wannier transfer-matrix, the rigorous analytical expression for…

Statistical Mechanics · Physics 2022-06-22 A. V. Zarubin , F. A. Kassan-Ogly , A. I. Proshkin

We study long-range correlation functions of the rectangular Ising lattice with cyclic boundary conditions. Specifically, we consider the situation in which two spins are on the same column, and at least one spin is on or near free…

Statistical Mechanics · Physics 2009-11-10 Shu-Chiuan Chang , Masuo Suzuki

Ionic liquids form intricate microstructures, both in the bulk and near charged surfaces. In this Letter, we show that, given the ionic positions from molecular simulations, the ionic charges minimize a "spin-glass" Hamiltonian for…

Chemical Physics · Physics 2019-05-29 Amir Levy , Michael McEldrew , Martin Z. Bazant

Spin-glass and chiral-glass orderings in three-dimensional Heisenberg spin glasses are studied both by equilibrium and off-equilibrium Monte Carlo simulations. Fully isotropic model is found to exhibit a finite-temperature chiral-glass…

Disordered Systems and Neural Networks · Physics 2009-10-31 H. Kawamura , K. Hukushima

The problem of the orientational ordering transition for lattice-gas models of liquid crystals is discussed in the low-dimensional case $d=1,2$. For isotropic short-range interactions, orientational long-range order at finite temperature is…

Condensed Matter · Physics 2009-10-22 N. Angelescu , S. Romano , V. A. Zagrebnov

We generate equilibrium configurations for the three and four dimensional Ising spin glass with Gaussian distributed couplings at temperatures well below the transition temperature T_c. These states are analyzed by a recently proposed…

Disordered Systems and Neural Networks · Physics 2009-11-07 Eytan Domany , Guy Hed , Matteo Palassini , A. P. Young

Spin relaxation close to the glass temperature of CuMn and AuFe spin glasses is shown, by neutron spin echo, to follow a generalised exponential function which explicitly introduces hierarchically constrained dynamics and macroscopic…

Disordered Systems and Neural Networks · Physics 2009-02-25 R M Pickup , R Cywinski , C Pappas , B Farago , P Fouquet

We analyze changes in the thermodynamic properties of a spin system when it passes from the classical two-dimensional Ising model to the spin glass model, where spin-spin interactions are random in their values and signs. Formally, the…

Disordered Systems and Neural Networks · Physics 2020-02-06 Boris Kryzhanovsky , Magomed Malsagov , Iakov Karandashev

As spin glass materials have extremely slow dynamics, devious numerical methods are needed to study low-temperature states. A simple and fast optimization version of the classical Kasteleyn treatment of the Ising model is described and…

Disordered Systems and Neural Networks · Physics 2008-02-28 Creighton K. Thomas , A. Alan Middleton

We study equilibration and ordering in the classical dipolar kagome Ising antiferromagnet, which we show behaves as a disorder-free fragile spin glass. By identifying an appropriate order parameter, we demonstrate a transition to the…

Strongly Correlated Electrons · Physics 2019-04-05 James Hamp , Roderich Moessner , Claudio Castelnovo