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Related papers: Note: A replica liquid theory of binary mixtures

200 papers

We compute the thermodynamic properties of the glass phase in a binary mixture of soft spheres. Our approach is a generalization to mixtures of the replica strategy, recently proposed by Mezard and Parisi, providing a first principle…

Condensed Matter · Physics 2009-10-31 Barbara Coluzzi , Marc Mezard , Giorgio Parisi , Paolo Verrocchio

Water shows intriguing thermodynamic and dynamic anomalies in the supercooled liquid state. One possible explanation of the origin of these anomalies lies in the existence of a metastable liquid-liquid phase transition (LLPT) between two…

Statistical Mechanics · Physics 2016-05-04 Rakesh S. Singh , John W. Biddle , Pablo G. Debenedetti , Mikhail A. Anisimov

The random Lorentz gas (RLG) is a minimal model of both percolation and glassiness, which leads to a paradox in the infinite-dimensional, $d\rightarrow\infty$ limit: the localization transition is then expected to be continuous for the…

Disordered Systems and Neural Networks · Physics 2021-06-18 Giulio Biroli , Patrick Charbonneau , Yi Hu , Harukuni Ikeda , Grzegorz Szamel , Francesco Zamponi

In a Comment (cond-mat/0103444) on our recent paper "Two time scales and violation of FDT in a finite dimensional model for structural glasses" [1], A. de Candia and A. Coniglio show evidence that the equilibrium overlap distribution P(q)…

Disordered Systems and Neural Networks · Physics 2009-11-07 F. Ricci-Tersenghi , G. Parisi , D. A. Stariolo , J. J. Arenzon

We establish a relation between the boundary and the topological entropies for the conformal minimal models in some of the simplest models of the unitary A-A series. We show that in these models the boundary entropy is a difference of…

High Energy Physics - Theory · Physics 2021-09-22 Hugo García-Compeán , Norma Quiroz

We explore the relationship between a machine-learned structural quantity (softness) and excess entropy in simulations of supercooled liquids. Excess entropy is known to scale well the dynamical properties of liquids, but this…

Soft Condensed Matter · Physics 2023-06-07 Ian R. Graham , Paulo E. Arratia , Robert A. Riggleman

We study the convergence to equilibrium of a class of nonlinear recombination models. In analogy with Boltzmann's H theorem from kinetic theory, and in contrast with previous analysis of these models, convergence is measured in terms of…

Probability · Mathematics 2018-04-24 Pietro Caputo , Alistair Sinclair

The theoretical description of the thermodynamics of water is challenged by the structural transition towards tetrahedral symmetry at ambient conditions. As perturbation theories typically assume a spherically symmetric reference fluid,…

Soft Condensed Matter · Physics 2017-11-15 Bennett D. Marshall

Within the mode-coupling theory (MCT) for the evolution of structural relaxation in glass-forming liquids, correlation functions and susceptibility spectra are calculated characterizing the rotational dynamics of a top-down symmetric…

Soft Condensed Matter · Physics 2015-06-24 W. Gotze , A. P. Singh , Th. Voigtmann

A thermodynamic approach to derive the liquid-glass transition line in the reduced temperature vs reduced density plane for a monatomic Lennard-Jones fluid is presented. The approach makes use of a recent reformulation of the classical…

Statistical Mechanics · Physics 2009-11-07 M. Robles , M. López de Haro

In this note we present numerical simulations of binary mixtures and we find indications for a thermodynamic transition to a glassy phase. We find that below the transition point the off equilibrium correlation functions and response…

Disordered Systems and Neural Networks · Physics 2009-10-30 Giorgio Parisi

We studied the liquid-glass transition of $SiO_2$ by means of replica theory, utilizing an effective pair potential which was proved to reproduce a few experimental features of silica. We found a finite critical temperature $T_0$, where the…

Condensed Matter · Physics 2009-11-07 B. Coluzzi , P. Verrocchio

Stochastic-Beta-Relaxation (SBR) provides a characterisation of the glass crossover in discontinuous Spin-Glasses and Supercoooled liquid. Notably it can be derived through a rigorous computation from a dynamical Landau theory. In this…

Disordered Systems and Neural Networks · Physics 2019-06-25 Tommaso Rizzo

The third law of thermodynamics dictates that the entropy of materials becomes zero as temperature ($T$) approaches zero. Contrarily, glass and other similar materials exhibit nonzero entropy at $T=0$, which contradicts the third law. For…

Statistical Mechanics · Physics 2026-02-25 Koun Shirai

Accelerating mirrors provide a simple conceptual laboratory for studying particle production and the relation between trajectory and particle, energy, and entropy fluxes. We focus on the relation between energy and entropy, studying some…

General Relativity and Quantum Cosmology · Physics 2019-01-23 Michael R. R. Good , Eric V. Linder

The paper deals with analysis of a model of a multi-component fluid admitting chemical reactions. The flow is considered in the incompressible regime. The main result shows global existence of regular solutions under assumption of suitable…

Analysis of PDEs · Mathematics 2022-04-13 Piotr B. Mucha , Tomasz Piasecki

In this work, we address the question of the impossibility of certain single-letter formulas by exploiting the semi-algebraic nature of various entropy-constrained sets. The focus lies on studying the properties of the level sets of…

Mathematical Physics · Physics 2023-09-15 Vjosa Blakaj , Chokri Manai

Boundary impurities are known to dramatically alter certain bulk properties of 1+1 dimensional strongly correlated systems. The entanglement entropy of a zero temperature Luttinger liquid bisected by a single impurity is computed using a…

Strongly Correlated Electrons · Physics 2009-11-10 Gregory Levine

The first-order general relativistic theory of a generic dissipative (heat-conducting, viscous, particle-creating) fluid is rediscussed from a unified covariant frame-independent point of view. By generalizing some previous works in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. Silva , J. A. S. Lima , M. O. Calvão

The residual multiparticle entropy (RMPE) of a fluid is defined as the difference, $\Delta s$, between the excess entropy per particle (relative to an ideal gas with the same temperature and density), $s_\text{ex}$, and the pair-correlation…

Soft Condensed Matter · Physics 2018-07-26 Andrés Santos , Franz Saija , Paolo V. Giaquinta