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Related papers: The Thermodynamic Glass Transition in Finite Dimen…

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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…

Disordered Systems and Neural Networks · Physics 2009-10-31 Giorgio Parisi

In these lectures I will review the approach to glasses based on the replica formalism. Many of the physical ideas are very similar to those of older approaches. The replica approach has the advantage of describing in an unified setting…

Soft Condensed Matter · Physics 2007-05-23 Giorgio Parisi

As in the preceding paper we aim at identifying the effective theory that describes the fluctuations of the local overlap with an equilibrium reference configuration close to a putative thermodynamic glass transition. We focus here on the…

Statistical Mechanics · Physics 2018-11-21 G. Biroli , C. Cammarota , G. Tarjus , M. Tarzia

The p-spin spin-glass model has been studied extensively at mean-field level because of the insights which it provides into the mode-coupling approach to structural glasses and the nature of the glass transition. We demonstrate explicitly…

Disordered Systems and Neural Networks · Physics 2009-11-07 M. A. Moore , Barbara Drossel

While in the fully-connected limit the solution of the spin-glass model is known, with the existence of a complex transition on a critical line in the temperature-external field phase diagram, in finite dimensions we don't know if a…

Disordered Systems and Neural Networks · Physics 2023-02-13 Maria Chiara Angelini

We review some recent results on finite dimensional spin glasses by studying recent numerical simulations and their relationship with experiments. In particular we will show results obtained at zero and non zero temperature, focusing in the…

Condensed Matter · Physics 2009-09-29 J. J. Ruiz-Lorenzo

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…

Statistical Mechanics · Physics 2009-11-10 Ludovic Berthier

The two-dimensional XY gauge glass, which describes disordered superconducting grains in strong magnetic fields, is investigated, with regard to the possibility of a glass transition. We compute the glass susceptibility and the correlation…

Condensed Matter · Physics 2009-10-31 M. Y. Choi , Sung Yong Park

We review the approach to glasses based on the replica formalism. The replica approach presented here is a first principle's approach which aims at deriving the main glass properties from the microscopic Hamiltonian. In contrast to the old…

Disordered Systems and Neural Networks · Physics 2009-10-16 Marc Mezard , Giorgio Parisi

A quasi 2-dimensional recursive lattice formed by planar elements have been designed to investigate the surface thermodynamics of Ising spin glass system with the aim to study the metastability of supercooled liquids and the ideal glass…

Statistical Mechanics · Physics 2015-02-24 Ran Huang , Purushottam D. Gujrati

Spin glasses are a longstanding model for the sluggish dynamics that appears at the glass transition. However, spin glasses differ from structural glasses for a crucial feature: they enjoy a time reversal symmetry. This symmetry can be…

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…

Disordered Systems and Neural Networks · Physics 2020-06-24 J. J. Ruiz-Lorenzo

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

We analyze the properties of the energy landscape of {\it finite-size} fully connected p-spin-like models whose high temperature phase is described, in the thermodynamic limit, by the schematic Mode Coupling Theory of super-cooled liquids.…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Crisanti , F. Ritort

The effective potential formalism is applied to glass forming liquids, choosing a coupling potential such that the "order parameter", conjugated to the coupling strength, is the mean square displacement of the particles from their position…

Disordered Systems and Neural Networks · Physics 2007-05-23 Antonio de Candia

The aim of this paper is to discuss some basic notions regarding generic glass forming systems composed of particles interacting via soft potentials. Excluding explicitly hard-core interaction we discuss the so called `glass transition' in…

Disordered Systems and Neural Networks · Physics 2009-11-13 Jean-Pierre Eckmann , Itamar Procaccia

The idea that a thermodynamic glass transition of some sort underlies the observed glass formation has been highly debated since Kauzmann first stressed the hypothetical entropy crisis that could take place if one were able to equilibrate…

Disordered Systems and Neural Networks · Physics 2022-09-23 Chiara Cammarota , Misaki Ozawa , Gilles Tarjus

Numerical simulations on Ising Spin Glasses show that spin glass transitions do not obey the usual universality rules which hold at canonical second order transitions. On the other hand the dynamics at the approach to the transition appear…

Disordered Systems and Neural Networks · Physics 2015-06-25 L. W. Bernardi , N. Lemke , P. O. Mari , I. A. Campbell , A. Alegria , J. Colmenero

For the dynamical glassy transition in the $p$-spin mean field spin glass model a thermodynamic description is given. The often considered marginal states are not the relevant ones for this purpose. This leads to consider a cooling…

Disordered Systems and Neural Networks · Physics 2009-10-30 Th. M. Nieuwenhuizen

We construct a mean field theory for the lattice model of a structural glass and solve it using the replica method and one step replica symmetry breaking ansatz; this theory becomes exact in the limit of infinite dimensions. Analyzing…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. V. Lopatin , L. B. Ioffe
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