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Related papers: Glasses and replicas

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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

In this talk I will review some of the recent applications of the replica theory to glasses. I will firstly describe the basic assumptions and I will show that they can be considered as a precise reformulations of old ideas. The relation of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Giorgio Parisi

In these notes we introduce briefly the fundamentals of the replica method in the context of liquid theory and the structural glass problem. In particular, we explain and show its usefulness as a computation framework in the context of the…

Soft Condensed Matter · Physics 2015-04-14 Corrado Rainone

Here we review the approach to glassy systems based on the replica method and we introduce the main ingredients of replica symmetry breaking. We explain why the replica method has been successful in spin glass and why it should be…

Disordered Systems and Neural Networks · Physics 2008-02-03 Giorgio Parisi

In this talk we review our theoretical understanding of spin glasses paying a particular attention to the basic physical ideas. We introduce the replica method and we describe its probabilistic consequences (we stress the recently…

Disordered Systems and Neural Networks · Physics 2007-05-23 Giorgio Parisi

In these two lectures I review our theoretical understanding of spin glasses paying a particular attention to the basic physical ideas. We introduce the replica method and we describe its probabilistic consequences (we stress the recently…

Disordered Systems and Neural Networks · Physics 2007-05-23 Giorgio Parisi

The critical behaviour of the dynamical transition of glassy system is controlled by a Replica Symmetric action with n=1 replicas. The most divergent diagrams in the loop expansion correspond at all orders to the solutions of a stochastic…

Statistical Mechanics · Physics 2011-05-27 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

In this talk I will review the approach to spin glasses based on the spontaneously broken replica symmetry. I will concentrate my attention mostly on more general ideas, skipping technical details and stressing the characteristic…

Condensed Matter · Physics 2007-05-23 Giorgio Parisi Dipartimento di fisica Roma

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 study some properties that are shared by many glassy systems. I will shown how some of these properties can be understood in the framework of the mean field approach based on the replica method and I will discuss…

Disordered Systems and Neural Networks · Physics 2016-08-31 Giorgio Parisi

In this thesis, we review and examine the replica method from several viewpoints. The replica method is a mathematical technique to calculate general moments of stochastic variables. This method provides a systematic way to evaluate…

Statistical Mechanics · Physics 2015-08-24 Tomoyuki Obuchi

In this paper we review the predictions of the replica approach on the probability distribution of the overlaps among replicas and on the sample to sample fluctuations of this probability. We stress the role of replica equivalence in…

Disordered Systems and Neural Networks · Physics 2007-05-23 Giorgio Parisi

In this note I present a simplified version of the recent computation (Mezard and Parisi 1998, 1999) of the properties of glasses in the low temperature phase in the framework of the replica theory, using an extension of the tools used in…

Soft Condensed Matter · Physics 2017-02-08 Giorgio Parisi

In this article we review results of computer simulation of glasses carried out using first principles approaches, notably density functional theory. We start with a brief introduction to this method and compare the pros and cons of this…

Disordered Systems and Neural Networks · Physics 2016-04-28 Walter Kob , Simona Ispas

This paper gives an introduction and brief overview of some of our recent work on the equilibrium thermodynamics of glasses. We have focused onto first principle computations in simple fragile glasses, starting from the two body interatomic…

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

We discuss the slow relaxation phenomenon in glassy systems by means of replicas by constructing a static field theory approach to the problem. At the mean field level we study how criticality in the four point correlation functions arises…

Statistical Mechanics · Physics 2013-02-28 Silvio Franz , Hugo Jacquin , Giorgio Parisi , Pierfrancesco Urbani , Francesco Zamponi

We present an approach to approximating static properties of glasses without experimental inputs rooted in the first-principles random structure sampling. In our approach, the glassy system is represented by a collection (composite) of…

Materials Science · Physics 2025-10-02 Laszlo Wolf , Andrew Novick , Vladan Stevanović

Using an effective potential method, a replica formulism is set up for describing supercooled liquids near their glass transition. The resulting potential is equivalent to that for an Ising spin glass in a magnetic field. Results taken from…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. A. Moore , J. Yeo

Glass-forming liquids have been extensively studied in recent decades, but there is still no theory that fully describes these systems, and the diversity of treatments is in itself a barrier to understanding. Here we introduce a new simple…

Disordered Systems and Neural Networks · Physics 2011-03-28 Davide Cellai , Andrzej Z. Fima , Aonghus Lawlor , Kenneth A. Dawson

Glasses are solid materials whose constituent atoms are arranged in a disordered manner. The transition from a liquid to a glass remains one of the most poorly understood phenomena in condensed matter physics, and still no fully microscopic…

Statistical Mechanics · Physics 2015-11-12 Liesbeth M. C. Janssen , David R. Reichman
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