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We study a three-dimensional plaquette spin model whose low temperature dynamics is glassy, due to localised defects and effective kinetic constraints. While the thermodynamics of this system is smooth at all temperatures, we show that…

统计力学 · 物理学 2016-02-10 Robert L. Jack , Juan P. Garrahan

Spin glasses are the paradigm of complex systems. These materials present really slow dynamics. However, the nature of the spin glass phase in finite dimensional systems is still controversial. Different theories describing the low…

无序系统与神经网络 · 物理学 2020-06-24 J. J. Ruiz-Lorenzo

In this talk, after a short phenomenological introduction on glasses, I will describe some recent progresses that have been done in glasses using the replica method in the definition and in the evaluation of the configurational entropy (or…

无序系统与神经网络 · 物理学 2009-10-31 Giorgio Parisi

We study the force-induced unfolding of random disordered RNA or single-stranded DNA polymers. The system undergoes a second order phase transition from a collapsed globular phase at low forces to an extensive necklace phase with a…

软凝聚态物质 · 物理学 2009-11-07 M. Mueller , F. Krzakala , M. Mezard

Evidence of an emergent pseudo-localized phase characterizing the low-temperature replica symmetry breaking phase of the complex disordered models for glassy light is provided in the mode-locked random laser model. A pseudo-localized phase…

无序系统与神经网络 · 物理学 2024-09-19 Jacopo Niedda , Luca Leuzzi , Giacomo Gradenigo

The low-temperature phase of discontinuous mean-field spin glasses is generally described by a one-step replica symmetry breaking (1RSB) Ansatz. The Gardner transition, i.e. a very-low-temperature phase transition to a full replica symmetry…

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

We show that in mean-field spin glasses, a discontinuous breaking of replica symmetry at the critical inverse temperature $\beta_c$ implies the existence of an intermediate shattered phase. This confirms a prediction from physics regarding…

概率论 · 数学 2025-06-04 Antonio Auffinger , Ahmed El Alaoui , Mark Sellke

The dynamics of strongly disordered systems becomes extremely slow or glassy at low temperatures, which results in a characteristic aging scenario. This means that the outcome of measurements strongly depends on the history of the system…

凝聚态物理 · 物理学 2015-06-25 Heiko Rieger

We devise a field theoretical formalism for a microscopic theory of nucleation processes and phase coexistence in finite dimensional glassy systems. We study disordered $p$-spin models with large but finite range of interaction. We work in…

统计力学 · 物理学 2009-11-10 Silvio Franz

This Ph.D. thesis is divided in two parts. The first one concerns the equilibrium properties of glassy systems. Some aspects of the phenomenology of glasses and of theories attempting to describe them are reviewed in chapter 1. A study of…

无序系统与神经网络 · 物理学 2007-05-23 F. Zamponi

We report numerical results for the phase diagram in the density-disorder plane of a hard sphere system in the presence of quenched, random, pinning disorder. Local minima of a discretized version of the Ramakrishnan-Yussouff free energy…

无序系统与神经网络 · 物理学 2009-10-31 Chandan Dasgupta , Oriol T. Valls

The high temperature phase of the three dimensional random field Ising model is studied using replica symmetry breaking framework. It is found that, above the ferromagnetic transition temperature T_f, there appears a glassy phase at…

凝聚态物理 · 物理学 2009-10-22 M. Mezard , R. Monasson

We study the localization in the one-dimensional trap model in terms of statistical mechanics of trajectories. By numerically investigating overlap between trajectories of two particles on a common disordered potential, we find that there…

统计力学 · 物理学 2017-03-14 Masahiko Ueda , Shin-ichi Sasa

Spin-glass theory is one of the leading paradigms of complex physics and describes condensed matter, neural networks and biological systems, ultracold atoms, random photonics, and many other research fields. According to this theory,…

无序系统与神经网络 · 物理学 2017-08-23 N. Ghofraniha , I. Viola , F. Di Maria , G. Barbarella , G. Gigli , L. Leuzzi , C. Conti

In this letter we study a lattice gas system that undergoes a glassy transition. When we approach the glass transition we find both a divergence of a point to set correlation length and the vanishing of the thermodynamic potential. These…

软凝聚态物质 · 物理学 2009-11-13 Giorgio Parisi

We discuss the behavior of a crystalline surface with a disordered substrate. We focus on the possible existence of a {\em super-rough} glassy phase, with height-height correlation functions which vary as the square logarithm of the…

凝聚态物理 · 物理学 2009-10-28 Enzo Marinari , Remi Monasson , Juan J. Ruiz-Lorenzo

We propose a method to study quantitatively the glass transition in a system of interacting particles. In spite of the absence of any quenched disorder, we introduce a replicated version of the hypernetted chain equations. The solution of…

凝聚态物理 · 物理学 2009-10-28 Marc Mezard , Giorgio Parisi

In this contribution we discuss the role which incoherent boundary conditions can play in the study of phase transitions. This is a question of particular relevance for the analysis of disordered systems, and in particular of spin glasses.…

数学物理 · 物理学 2016-08-16 Aernout C. D. van Enter , Karel Netočný , Hendrikjan G. Schaap

This paper is divided into two parts. The first part concerns several standard scenarios for how short-range spin glasses might behave at low temperature. Earlier theorems of the authors are reviewed, and some new results presented,…

无序系统与神经网络 · 物理学 2007-05-23 C. M. Newman , D. L. Stein

In a recent letter Marinari et al [Phys. Rev. Lett. 81, 1698 (1998)] introduced a new method to study spin glass transitions and argued that by probing replica symmetry (RS) as opposed to time reversal symmetry (TRS), their method…

无序系统与神经网络 · 物理学 2009-10-31 Hemant Bokil , A. J. Bray , Barbara Drossel , M. A. Moore