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We obtain evidence that the dynamics of glassy systems below the glass transition is characterized by self-organized criticality. Using molecular dynamics simulations of a model glass-former we identify clusters of cooperatively jumping…

Disordered Systems and Neural Networks · Physics 2015-06-25 Katharina Vollmayr-Lee , Elizabeth A. Baker

The dependence of the transition temperature $T_g$ in terms of the concentration of magnetic impurities $c$ in spin glasses is explained on the basis of a screened RKKY interaction. The two observed power laws, $T_g ~ c$ at low $c$ and $T_g…

Disordered Systems and Neural Networks · Physics 2009-11-10 R. Serral Gracia , Th. M. Nieuwenhuizen , I. V. Lerner

Idealized glass transitions are discussed within a novel mode-coupling theory (TMCT) proposed by Tokuyama(Physica A 395,31(2014)). This is done in order to identify common grounds with and differences to the conventional mode-coupling…

Statistical Mechanics · Physics 2015-04-23 Wolfgang Götze , Rolf Schilling

We consider the effects of quantum fluctuations in mean-field quantum spin-glass models with pairwise interactions. We examine the nature of the quantum glass transition at zero temperature in a transverse field. In models (such as the…

Condensed Matter · Physics 2009-10-28 Felix Ritort

Time and history dependent magnetization has been observed in a wide variety of materials, which are collectively termed as the glassy magnetic systems. However, such systems showing similar non-equilibrium magnetic response can be…

Strongly Correlated Electrons · Physics 2020-12-30 Sudip Pal , Kranti Kumar , A. Banerjee , S. B. Roy , A. K. Nigam

In this article we describe the crystallization conjecture. It states that, in appropriate physical conditions, interacting particles always place themselves into periodic configurations, breaking thereby the natural translation-invariance…

Statistical Mechanics · Physics 2015-10-06 Xavier Blanc , Mathieu Lewin

The thermodynamic $H-T$ phase diagram of Bi$_2$Sr$_2$CaCu$_2$O$_8$ was mapped by measuring local \emph{equilibrium} magnetization $M(H,T)$ in presence of vortex `shaking'. Two equally sharp first-order magnetization steps are revealed in a…

Superconductivity · Physics 2007-05-23 H. Beidenkopf , N. Avraham , Y. Myasoedov , H. Shtrikman , E. Zeldov , B. Rosenstein , E. H. Brandt , T. Tamegai

We discuss the microscopic mechanisms by which low-temperature amorphous states, such as ultrastable glasses, transform into equilibrium fluids, after a sudden temperature increase. Experiments suggest that this process is similar to the…

Statistical Mechanics · Physics 2016-07-05 Robert L. Jack , Ludovic Berthier

Understanding structural glasses using the Random First Order Transition theory requires a description in both real space and in time, taking into account sample history. A variety of nonlinear objects enter this description, in field…

Disordered Systems and Neural Networks · Physics 2022-06-02 Peter G. Wolynes

We propose a novel computational strategy to study the glass transition of molecular fluids. Our approach combines the construction of simple yet realistic models with the development of Monte Carlo algorithms to accelerate equilibration…

Statistical Mechanics · Physics 2026-03-31 Romain Simon , Jean-Louis Barrat , Ludovic Berthier

A particle in a random potential with logarithmic correlations in dimensions $d=1,2$ is shown to undergo a dynamical transition at $T_{dyn}>0$. In $d=1$ exact results demonstrate that $T_{dyn}=T_c$, the static glass transition temperature,…

Condensed Matter · Physics 2009-10-31 Horacio Castillo , Pierre Le Doussal

The understanding of thermodynamic glass transition has been hindered by the lack of proper models beyond mean-field theories. Here, we propose a three-dimensional lattice glass model on a simple cubic lattice that exhibits the typical…

Statistical Mechanics · Physics 2020-08-07 Yoshihiko Nishikawa , Koji Hukushima

By using real space renormalisation group (RG) methods we show that spin-glasses in a field display a new kind of transition in high dimensions. The corresponding critical properties and the spin-glass phase are governed by two…

Disordered Systems and Neural Networks · Physics 2015-07-17 Maria Chiara Angelini , Giulio Biroli

A review is given on some recent developments in the theory of the Ising model in a random field. This model is a good representation of a large number of impure materials. After a short repetition of earlier arguments, which prove the…

Statistical Mechanics · Physics 2008-02-03 T. Nattermann

Many properties of solids such as the glass state are commonly treated as nonequilibrium phenomena, which involve many conceptual difficulties. However, few studies have addressed the problem of understanding equilibrium itself. Equilibrium…

Statistical Mechanics · Physics 2022-01-05 Koun Shirai

We study the chemical freeze-out dynamics of strange particles ($K,\, \Lambda,\, \Sigma$) from a homogeneous and isotropically expanding hadronic system of $\pi, K, \rho, N, \Lambda$ and $\Sigma$ with zero net baryon density. We use the…

Nuclear Theory · Physics 2021-09-01 Sushant K. Singh , Purabi Ghosh , Jajati K. Nayak

A dimer mean-field model for the Ising spin-glass is presented. Despite its simplicity it captures some of the essential features of the spin-glass physics. The distribution of the single-spin magnetization is determined from a…

Disordered Systems and Neural Networks · Physics 2009-12-16 Yonatan Dubi , Massimiliano Di Ventra

A random walk is performed over a disordered media composed of $N$ sites random and uniformly distributed inside a $d$-dimensional hypercube. The walker cannot remain in the same site and hops to one of its $n$ neighboring sites with a…

Disordered Systems and Neural Networks · Physics 2010-07-20 Sebastian Risau-Gusman , Alexandre S. Martinez , Osame Kinouchi

The quantum critical behavior of the Ising glass in a magnetic field is investigated. We focus on the spin glass to paramagnet transition of the transverse degrees of freedom in the presence of finite longitudinal field. We use two…

Strongly Correlated Electrons · Physics 2009-11-10 L. Arrachea , D. Dalidovich , V. Dobrosavljević , M. J. Rozenberg

We provide here a brief perspective on the glass transition field. It is an assessment, written from the point of view of theory, of where the field is and where it seems to be heading. We first give an overview of the main phenomenological…

Statistical Mechanics · Physics 2015-06-15 Giulio Biroli , Juan P. Garrahan