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We present the results of Monte Carlo simulations of two different 10-state Potts glasses with random nearest neighbor interactions on a simple cubic lattice. In the first model the interactions come from a \pm J distribution and in the…

Statistical Mechanics · Physics 2009-11-07 Claudio Brangian , Walter Kob , Kurt Binder

We propose damage spreading (DS) as a tool to investigate the topological features related to the ruggedness of the free energy landscape. We argue that DS measures the positiveness of the largest Lyapunov exponent associated to the basins…

Disordered Systems and Neural Networks · Physics 2009-10-31 Felix Ritort

We consider the 2-spin spherical Sherrington--Kirkpatrick model without external magnetic field where the interactions between the spins are given as random variables with heavy-tailed distribution. We show that the free energy exhibits a…

Probability · Mathematics 2024-11-01 Taegyun Kim , Ji Oon Lee

The East model has a dynamical phase transition between an active (fluid) and inactive (glass) state. We show that this phase transition generalizes to "softened" systems where constraint violations are allowed with small but finite…

Statistical Mechanics · Physics 2015-06-11 Yael S. Elmatad , Robert L. Jack

Marginal stability is the notion that stability is achieved, but only barely so. This property constrains the ensemble of configurations explored at low temperature in a variety of systems, including spin, electron and structural glasses. A…

Statistical Mechanics · Physics 2016-04-12 Le Yan , Marco Baity-Jesi , M. Mueller , Matthieu Wyart

Glass-forming systems, which are characterized by a highly disordered energy landscape, have been studied in physics by a simulation-based state space aggregation. The purpose of this article is to develop a path-independent approach within…

Probability · Mathematics 2012-11-29 Gerold Alsmeyer , Andrea Winkler

We investigate the 3-dimensional Edwards-Anderson spin glass model at low temperature on simple cubic lattices of sizes up to L=12. Our findings show a strong continuity among T>0 physical features and those found previously at T=0, leading…

Disordered Systems and Neural Networks · Physics 2009-11-07 E. Marinari , O. C. Martin , F. Zuliani

In this study we try to answer the qustion : What happens when explicit constraints are introduced such that the low energy, long wavelength modes of a system are unavailable ? This question has assumed some importance in recent years due…

Soft Condensed Matter · Physics 2009-11-11 Abhishek Chaudhuri

We study the L\'evy spin glass model, a fully connected model on $N$ vertices with heavy-tailed interactions governed by a power law distribution of order $0<\alpha<2.$ Our investigation is divided into three cases $0<\alpha<1$, $\alpha=1$,…

Probability · Mathematics 2024-08-28 Wei-Kuo Chen , Heejune Kim , Arnab Sen

We compare dynamical heterogeneities in equilibrated supercooled liquids and in the nonequilibrium glassy state within the framework of the random first order transition theory. Fluctuating mobility generation and transport in the glass are…

Statistical Mechanics · Physics 2014-01-21 Apiwat Wisitsorasak , Peter G. Wolynes

We prove the existence of correlations between the equilibrium states at different temperatures of the multi-$p$-spin spherical spin-glass models with continuous replica symmetry breaking: there is no chaos in temperature in these models.…

Disordered Systems and Neural Networks · Physics 2012-10-31 Tommaso Rizzo

We show the existence of intermittent dynamics in one of the simplest model of a glassy system: the two-state model, which has been used to explain the origin of the violation of the fluctuation-dissipation theorem. The dynamics is analyzed…

Statistical Mechanics · Physics 2009-11-10 M. Naspreda , D. Reguera , A. Perez-Madrid , J. M. Rubi

Binary mixtures of large and small particles with disparate size ratio exhibit a rich phenomenology at their glass transition points. In order to gain insights on such systems, we introduce and study a two-component version of the $p$-spin…

Disordered Systems and Neural Networks · Physics 2016-08-03 Harukuni Ikeda , Atsushi Ikeda

We study energy landscape and dynamics of the three-dimensional Heisenberg Spin Glass model in the paramagnetic phase, i.e. for temperature $T$ larger than the critical temperature $T_\mathrm{c}$. The landscape is non-trivially related to…

Disordered Systems and Neural Networks · Physics 2019-09-24 Marco Baity-Jesi , Victor Martin-Mayor

Recent work suggests that Heisenberg spin glasses may belong to the same universality class than structural glasses. Indeed, finding a lattice equivalent for supercooled liquids would probably allow easier numerical and analytical studies,…

Disordered Systems and Neural Networks · Physics 2015-03-31 Marco Baity-Jesi

We present a statistical method for complex energy landscape exploration which provides information on the metastable states--or valleys--actually explored by an unperturbed aging process following a quench. Energy fluctuations of record…

Statistical Mechanics · Physics 2009-11-10 Jesper Dall , Paolo Sibani

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 argue that the lower bound to the barrier energy to flip an up/down spin domain embedded in a down/up spin environment for Ising spin glass is independent of the size of the system. The argument shows the existence of at least one…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Bhattacharyay

We analyse the critical region of finite-($d$)-dimensional Ising spin glass, in particular the limit of $d$ closely above the lower critical dimension $d_\ell$. At criticality the thermally active degrees of freedom are surfaces (of width…

Condensed Matter · Physics 2009-10-28 M. J. Thill , H. J. Hilhorst

In a Comment (cond-mat/0103444) on our recent paper "Two time scales and violation of FDT in a finite dimensional model for structural glasses" [1], A. de Candia and A. Coniglio show evidence that the equilibrium overlap distribution P(q)…

Disordered Systems and Neural Networks · Physics 2009-11-07 F. Ricci-Tersenghi , G. Parisi , D. A. Stariolo , J. J. Arenzon
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