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Related papers: The Spherical p+s Spin Glass At Zero Temperature

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We analyze the statics for pure $p$-spin spherical spin glass models with $p\geq3$, at low enough temperature. With $F_{N,\beta}$ denoting the free energy, we compute the second order (logarithmic) term of $NF_{N,\beta}$ and prove that, for…

Probability · Mathematics 2017-10-11 Eliran Subag

Spintronics on flat surfaces has been studied over the years, and the scenario is relatively well-known; however, there is a lack of information when we consider non-flat surfaces. In this paper, we are concerned about the spin dynamics of…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 A. R. Moura

Using Monte Carlo simulations we study cooling-rate effects in a three-dimensional Ising model with four-spin interaction. During coarsening, this model develops growing energy barriers which at low temperature lead to very slow dynamics.…

Statistical Mechanics · Physics 2009-10-31 A. Lipowski , D. Johnston

We study zero-temperature, stochastic Ising models sigma(t) on a d-dimensional cubic lattice with (disordered) nearest-neighbor couplings independently chosen from a distribution mu on R and an initial spin configuration chosen uniformly at…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Gandolfi , C. M. Newman , D. L. Stein

In this paper a spin-1 spin-glass model under the presence of a uniform crystal field is investigated. It is shown that the model presents both continuous and first-order phase transition separated by a tricritical point. The phase diagram…

Disordered Systems and Neural Networks · Physics 2015-05-19 F. A. da Costa

A possible phase in short-range spin glasses exhibiting infinitely many equilibrium states is proposed and characterized in real space. Experimental signatures in equilibrating systems measured with scanning probes are discussed. Some…

Disordered Systems and Neural Networks · Physics 2007-05-23 Olivia L. White , Daniel S. Fisher

We study the low temperature dynamics of a two dimensional short-range spin system with uniform ferromagnetic interactions, which displays glassiness at low temperatures despite the absence of disorder or frustration. The model has a dual…

Disordered Systems and Neural Networks · Physics 2009-10-31 Juan P. Garrahan , M. E. J. Newman

We introduce a new approach to studying spherical spin glass dynamics based on differential inequalities for one-time observables. Using this approach, we obtain an approximate phase diagram for the evolution of the energy $H$ and its…

Probability · Mathematics 2023-06-23 Gerard Ben Arous , Reza Gheissari , Aukosh Jagannath

This paper studies spin glass to paramagnetic transition in the Spherical Sherrington-Kirkpatrick model with ferromagnetic Curie-Weiss interaction with coupling constant $J$ and inverse temperature $\beta$. The disorder of the system is…

Probability · Mathematics 2024-08-26 Iain M. Johnstone , Yegor Klochkov , Alexei Onatski , Damian Pavlyshyn

It is believed that the $\pm J$ Ising spin-glass does not order at finite temperatures in dimension $d=2$. However, using a graphical representation and a contour argument, we prove rigorously the existence of a finite-temperature phase…

Disordered Systems and Neural Networks · Physics 2022-09-21 Yan Ru Pei , Massimiliano Di Ventra

We probe the energy landscape of the 3D Edwards-Anderson spin glass in a magnetic field to test for a spin glass ordering. We find that the spin glass susceptibility is anomalously large on the lattice sizes we can reach. Our data suggest…

Disordered Systems and Neural Networks · Physics 2009-11-07 F. Krzakala , J. Houdayer , E. Marinari , O. C. Martin , G. Parisi

We report some results on the quenched disordered Spherical multi-$p$-Spin Model in presence of ferromagnetic couplings. In particular, we present the phase diagrams of some representative cases that schematically describe, in the…

Disordered Systems and Neural Networks · Physics 2013-03-19 Andrea Crisanti , Luca Leuzzi

We study the zero-temperature stochastic Ising model on some connected planar quasi-transitive graphs, which are invariant under rotation and translation. The initial spin configuration is distributed according to a Bernoulli product…

Probability · Mathematics 2023-10-23 Emilio De Santis , Leonardo Lelli

Experiments on the time dependence of the response function of a Ag(11 at%Mn) spin glass at a temperature below the zero field spin glass temperature are used to explore the non-equilibrium nature of the spin glass phase. It is found that…

Disordered Systems and Neural Networks · Physics 2009-10-31 K. Jonason , P. Nordblad

The four-dimensional +-J random-bond Ising model is studied using ground-state calculations. System sizes up to N=6^4 spins are considered. Here it is found that the ferromagnetic-spin glass transition occurs at a critical concentration…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alexander K. Hartmann

The replica method has been used to calculate the interface free energy associated with the change from periodic to anti-periodic boundary conditions in finite-dimensional p-spin glass models in the phase which at mean-field level has…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. A. Moore

Randomness and frustration are considered to be the key ingredients for the existence of spin glass (SG) phase. In a canonical system, these ingredients are realized by the random mixture of ferromagnetic (FM) and antiferromagnetic (AF)…

Disordered Systems and Neural Networks · Physics 2015-10-13 Tasrief Surungan , Freddy P. Zen , Anthony G. Williams

In this paper we prove that the support of a random measure on the unit ball of a separable Hilbert space that satisfies the Ghirlanda-Guerra identities must be ultrametric with probability one. This implies the Parisi ultrametricity…

Probability · Mathematics 2015-03-03 Dmitry Panchenko

The random-bond XY spin glass with ferromagnetic next-nearest-neighbour interactions is studied on a square lattice by Monte Carlo simulations. We find strong evidence for a finite-temperature spin glass transition at $T_c\approx 1.1$. We…

Disordered Systems and Neural Networks · Physics 2009-09-25 S. Jain , K. J. Hammarling

We consider the dynamics of a disordered p-spin model with p=2, analyzing the dynamics within Ruelle's thermodynamic formalism, We use an indicator of the dynamical activity to construct the relevant dynamical Gibbs ensemble. We prove that…

Disordered Systems and Neural Networks · Physics 2013-05-29 Kristina Van Duijvendijk , Robert L. Jack , Frédéric Van Wijland
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