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We study the glassy transition for simple liquids in the hypernetted chain (HNC) approximation by means of an effective potential recently introduced. Integrating the HNC equations for hard spheres, we find a transition scenario analogous…

Statistical Mechanics · Physics 2009-10-30 Miguel Cardenas , Silvio Franz , Giorgio Parisi

We develop a full microscopic replica field theory of the dynamical transition in glasses. By studying the soft modes that appear at the dynamical temperature we obtain an effective theory for the critical fluctuations. This analysis leads…

Disordered Systems and Neural Networks · Physics 2013-05-24 Silvio Franz , Hugo Jacquin , Giorgio Parisi , Pierfrancesco Urbani , Francesco Zamponi

We introduce a quasi-equilibrium formalism in the theory of liquids in order to obtain a set of coarse grained long time dynamical equations for the two point density correlation functions. Our scheme allows to use typical approximations…

Statistical Mechanics · Physics 2015-09-25 Silvio Franz , Giorgio Parisi , Pierfrancesco Urbani

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…

Condensed Matter · Physics 2009-10-28 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

Extending mode-coupling theory, we elaborate a microscopic theory for the glass transition of liquids confined between two parallel flat hard walls. The theory contains the standard MCT equations in bulk and in two dimensions as limiting…

Soft Condensed Matter · Physics 2010-09-15 Simon Lang , Vitalie Botan , Martin Oettel , David Hajnal , Thomas Franosch , Rolf Schilling

In this paper, we consider the Gibbs measure associated to a logarithmically correlated random potential (including two dimensional free fields) at low temperature. We prove that the energy landscape freezes and enters in the so-called…

Probability · Mathematics 2013-10-22 Thomas Madaule , Rémi Rhodes , Vincent Vargas

A key challenge for soft materials design and coarse-graining simulations is determining interaction potentials between components that give rise to desired condensed-phase structures. In theory, the Ornstein-Zernike equation provides an…

Soft Condensed Matter · Physics 2021-02-22 Rhys E. A. Goodall , Alpha A. Lee

We use computer simulations to investigate the static properties of a simple glass-forming fluid in which the positions of a finite fraction of the particles has been frozen in. By probing the equilibrium distribution of the overlap between…

Disordered Systems and Neural Networks · Physics 2015-06-12 Walter Kob , Ludovic Berthier

Framing the glass formation within standard statistical mechanics is an outstanding problem of condensed matter theory. To provide new insight, we investigate the structural properties of the Lennard-Jones fluid in the very-low temperature…

Statistical Mechanics · Physics 2026-02-02 Bomont Jean-Marc , Bretonnet Jean-Louis , Costa Dino , Pastore Giorgio

A theoretical description for the radial density profile of a finite number of identical charged particles confined in a harmonic trap is developed for application over a wide range of Coulomb coupling (or, equivalently, temperatures) and…

Statistical Mechanics · Physics 2015-05-14 J. Wrighton , J. W. Dufty , H. Kählert , M. Bonitz

We consider the phase diagram of a classical fluid in the presence of a random pinning potential of arbitrary strength. Introducing replicas for averaging over the quenched disorder, we use the hypernetted chain approximation to calculate…

Condensed Matter · Physics 2009-10-31 Fabrice Thalmann , Chandan Dasgupta , Denis Feinberg

A generalization of the semiclassical approximation is suggested allowing for an essential extension of its region of applicability. In particular, it becomes possible to describe Bose-Einstein condensation of a trapped gas in…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov

The analytical model of a glass-forming system is formulated within the formalism analogous to gauge theory constructions in quantum field theory. This work explores the scope of the proposed approach and investigates the equilibrium…

Statistical Mechanics · Physics 2025-07-15 Son L. D. , Vasin M. G

We show that a fluid under strong spatially periodic confinement displays a glass transition within mode-coupling theory (MCT) at a much lower density than the corresponding bulk system. We use fluctuating hydrodynamics, with confinement…

Soft Condensed Matter · Physics 2013-03-14 Saroj Kumar Nandi , Sarika Maitra Bhattacharyya , Sriram Ramaswamy

As a guideline for experimental tests of the ideal glass transition (Random Pinning Glass Transition, RPGT) that shall be induced in a system by randomly pinning particles, we performed first-principle computations within the Hypernetted…

Disordered Systems and Neural Networks · Physics 2017-03-07 Chiara Cammarota , Beatriz Seoane

The theory of glassy fluctuations can be formulated in terms of disordered effective potentials. While the properties of the average potentials are well understood, the study of the fluctuations has been so far quite limited. Close to the…

Disordered Systems and Neural Networks · Physics 2020-06-17 Silvio Franz , Jacopo Rocchi

We use theory and simulations to investigate the existence of amorphous glassy states in ultrasoft colloids. We combine the hyper-netted chain approximation with mode-coupling theory to study the dynamic phase diagram of soft repulsive…

Soft Condensed Matter · Physics 2010-12-16 Ludovic Berthier , Angel J. Moreno , Grzegorz Szamel

We introduce an approach to derive an effective scalar field theory for the glass transition; the fluctuating field is the overlap between equilibrium configurations. We apply it to the case of constrained liquids for which the introduction…

Disordered Systems and Neural Networks · Physics 2014-05-07 Giulio Biroli , Chiara Cammarota , Gilles Tarjus , Marco Tarzia

The complex behavior of confined fluids arising due to a competition between layering and local packing can be disentangled by considering quasi-confined liquids, where periodic boundary conditions along the confining direction restore…

Soft Condensed Matter · Physics 2020-09-03 Lukas Schrack , Charlotte F. Petersen , Gerhard Jung , Michele Caraglio , Thomas Franosch
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