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In this work we calculate the dynamical fluctuations at O(1/N) in the low temperature phase of the $p=2$ spherical spin glass model. We study the large-times asymptotic regimes and we find, in a short time-differences regime, a fluctuation…

凝聚态物理 · 物理学 2009-10-30 Matteo Campellone , Giorgio Parisi , Paola Ranieri

Ground states of the three dimensional Edwards-Anderson spin glass are computed in the presence of an external magnetic field. Our algorithm is sufficiently powerful for us to treat systems with up to 600 spins. We perform a statistical…

无序系统与神经网络 · 物理学 2009-10-31 J. Houdayer , O. C. Martin

The dynamical magnetic properties of an Ising spin glass Fe$_{0.55}$Mn$_{0.45}$TiO$_3$ are studied under various magnetic fields. Having determined the temperature and static field dependent relaxation time $\tau(T;H)$ from ac magnetization…

无序系统与神经网络 · 物理学 2009-11-10 P. E. Jönsson , H. Takayama , H. Aruga Katori , A. Ito

The weak ergodicity breaking hypothesis postulates that out-of-equilibrium glassy systems lose memory of their initial state despite being unable to reach an equilibrium stationary state. It is a milestone of glass physics, and has provided…

无序系统与神经网络 · 物理学 2023-09-20 Giampaolo Folena , Francesco Zamponi

The richness of the mean-field solution of simple glasses leaves many of its features challenging to interpret. A minimal model that illuminates glass physics the same way the random energy model clarifies spin glass behavior would…

无序系统与神经网络 · 物理学 2025-03-14 Gilles Bonnet , Patrick Charbonneau , Giampaolo Folena

Typical features of glass phenomenology such as the Vogel-Fulcher law, the Kauzmann paradox and the Adam-Gibbs relationship are shown to follow from the recently discovered mapping of glasses to Ising spin glasses in a magnetic field. There…

无序系统与神经网络 · 物理学 2009-11-11 M. Tarzia , M. A. Moore

The correlations of the free-energy landscape of mean-field spin glasses at different temperatures are investigated, concentrating on models with a first order freezing transition. Using a ``potential function'' we follow the metastable…

无序系统与神经网络 · 物理学 2009-10-30 A. Barrat , S. Franz , G. Parisi

The dynamics of a spin in the presence of a deterministic and a fluctuating magnetic field is solved for analytically to obtain the averaged value of the spin as a function of time for various kinds of fluctuations (noise). Specifically,…

介观与纳米尺度物理 · 物理学 2014-03-21 Piotr Szańkowski , M. Trippenbach , Y. B. Band

Using classical description of spin degrees of freedom, we extend recent formulation of the perfect-fluid hydrodynamics for spin-polarized fluids to the case including dissipation. Our work is based on the analysis of classical kinetic…

I briefly review a recent series of papers putting forward a coarse-grained theoretical approach to the physics of supercooled liquids approaching their glass transition. After a suitable coarse-graining, the dynamics of the liquid is…

统计力学 · 物理学 2009-11-10 Ludovic Berthier

A new approach is proposed which encompasses the dynamical mean field theory (DMFT) for strongly correlated electron systems and the self-consistent renormalization (SCR) theory of spin fluctuations. The latter is incorporated into DMFT as…

强关联电子 · 物理学 2009-10-31 Tetsuro Saso

Deviations from spin-glass linear response in a single crystal Cu:Mn 1.5 at % are studied for a wide range of changes in magnetic field, $\Delta H$. Three quantities, the difference $TRM-(MFC-ZFC)$, the effective waiting time,…

无序系统与神经网络 · 物理学 2007-05-23 V. S. Zotev , R. Orbach

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

The formulation of the mean-field, infinite-dimensional solution of hard sphere glasses is a significant milestone for theoretical physics. How relevant this description might be for understanding low-dimensional glass-forming liquids,…

统计力学 · 物理学 2022-05-03 Patrick Charbonneau , Yi Hu , Joyjit Kundu , Peter K. Morse

Relationships are obtained expressing the breaking of spin-reversal symmetry by an external magnetic field in Gibbsian canonical equilibrium states of spin systems under specific assumptions. These relationships include an exact fluctuation…

统计力学 · 物理学 2015-06-05 Pierre Gaspard

We study numerically the out of equilibrium dynamics of the hypercubic cell spin glass in high dimensionalities. We obtain evidence of aging effects qualitatively similar both to experiments and to simulations of low dimensional models.…

凝聚态物理 · 物理学 2009-10-22 L. F. Cugliandolo , J. Kurchan , F. Ritort

The low temperature phase of discontinuous mean-field spin glasses is characterized by the appearance of an exponential number of metastable states. Which ones among these states dominate the out-of-equilibrium dynamics of these systems? In…

无序系统与神经网络 · 物理学 2009-11-10 Andrea Montanari , Federico Ricci-Tersenghi

We present a new method to solve the dynamics of disordered spin systems on finite time-scales. It involves a closed driven diffusion equation for the joint spin-field distribution, with time-dependent coefficients described by a dynamical…

凝聚态物理 · 物理学 2009-10-28 A. C. C. Coolen , S. N. Laughton , D. Sherrington

Most of the analytical studies on spin glasses are performed by using mean-field theory and renormalization group analysis. Analytical studies on finite-dimensional spin glasses are very challenging. In this short note, a possible exten-…

无序系统与神经网络 · 物理学 2018-01-17 Masayuki Ohzeki , Yuta Kudo , Kazuyuki Tanaka

The applications of nonequilbrium relations such as the Jarzynski equality and the fluctuation theorem to spin glasses are considered. The spin glass is a basic platform where we consider an application of an approximate solver of…

无序系统与神经网络 · 物理学 2015-05-18 Masayuki Ohzeki , Hidetoshi Nishimori