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Within the framework of the random distribution assumption of cyclic bonds, the preceding theory of gelation is extended to mixing systems with various functionalities. To examine the validity of the assumption, the theory is applied to…

Soft Condensed Matter · Physics 2007-05-23 Kazumi Suematsu

The concept of "fragility", which was introduced to characterize the degree of super-Arrhenius temperature dependence of the relaxation time and transport coefficients, has since been taken as a key quantity that seems to correlate with…

Statistical Mechanics · Physics 2014-01-14 Gilles Tarjus , Christiane Alba-Simionesco

Two phenomenological approaches are currently used in the study of the vitreous state. One is based on the concept of fictive temperature introduced by Tool [Jour. Research Nat. Bur. Standards 34, 199 (1945)] and recently revisited by…

Soft Condensed Matter · Physics 2008-08-20 Jean-Luc Garden , Jacques Richard , Hervé Guillou

Membrane based nanocalorimeters have been developed for ac calorimetry experiments. It has allowed highly sensitive measurements of heat capacity from solid state physics to complex systems like polymers and proteins. In this article we…

The study of the properties of glass-forming liquids is difficult for many reasons. Analytic solutions of mean field models are usually available only for systems embedded in a space with an unphysically high number of spatial dimensions;…

Disordered Systems and Neural Networks · Physics 2015-02-26 Manuel Sebastian Mariani , Giorgio Parisi , Corrado Rainone

This paper will argue for continued effort in developing imaging calorimeters for future colliders and/or upgrades to existing detectors. Imaging calorimeters offer a plethora of advantages beyond their application in conjunction with…

Instrumentation and Detectors · Physics 2013-08-28 Burak Bilki , Jose Repond , Lei Xia

We use the general statement of the second law applied to an isolated system, the glass in an extremely large medium, to prove that the entropy of the glass must decrease with time during its relaxation towards the supercooled liquid state.…

Disordered Systems and Neural Networks · Physics 2009-09-04 P. D. Gujrati

In recent papers, we have argued that kinetically constrained coarse grained models can be applied to understand dynamic properties of glass forming materials, and we have used this approach in various applications that appear to validate…

Statistical Mechanics · Physics 2009-11-11 David Chandler , Juan P. Garrahan

Glass-to-glass and liquid-to-liquid phase transitions were observed many years ago in bulk and confined water with or without applied pressure. It is shown that they result from the competition of two-liquid phases separated by an enthalpy…

Disordered Systems and Neural Networks · Physics 2017-03-21 Robert F Tournier

We present mode-coupling equations for the description of the slow dynamics observed in supercooled molecular liquids close to the glass transition. The mode-coupling theory (MCT) originally formulated to study the slow relaxation in simple…

Soft Condensed Matter · Physics 2009-10-31 L. Fabbian , A. Latz , R. Schilling , F. Sciortino , P. Tartaglia , C. Theis

This paper summarizes the properties of strongly correlating liquids, i.e., liquids with strong correlations between virial and potential energy equilibrium fluctuations at constant volume. We proceed to focus on the experimental…

Soft Condensed Matter · Physics 2015-03-14 Ulf R. Pedersen , Nicoletta Gnan , Nicholas P. Bailey , Thomas B. Schröder , Jeppe C. Dyre

The liquidus temperature is an important parameter in understanding the crystalline behavior of materials and in the operation of blast furnaces. Its modeling can be carried out by linear and nonlinear methods through data, considering the…

Materials Science · Physics 2023-07-24 Patrick dos Anjos , Lucas A. Quaresma , Marcelo L. P. Machado

Precision physics at future colliders requires highly granular calorimeters to support the Particle Flow Approach for event reconstruction. This article presents a review of about 10 - 15 years of R\&D, mainly conducted within the CALICE…

Instrumentation and Detectors · Physics 2016-04-20 Felix Sefkow , Andy White , Kiyotomo Kawagoe , Roman Pöschl , José Repond

We present three different neural network algorithms to calculate thermodynamic properties as well as dynamic correlation functions at finite temperatures for quantum lattice models. The first method is based on purification, which allows…

Statistical Mechanics · Physics 2024-04-16 D. Wagner , A. Klümper , J. Sirker

Supercooled liquids display fascinating properties upon cooling such as the emergence of dynamic length scales. Different models strongly vary with respect to the choice of the elementary subsystems (CRR) as well as their mutual coupling.…

Disordered Systems and Neural Networks · Physics 2015-05-18 C. Rehwald , O. Rubner , A. Heuer

A simple framework is presented for unified applications in various fields of colloidal research, with minimal additional concepts & definitions. Several case studies concerning glass transition & crystallization are provided under the…

Soft Condensed Matter · Physics 2026-04-21 Junfeng Zhou , Geliang Zhu , Lei Xu

We develop a thermodynamic theory for machine learning (ML) systems. Similar to physical thermodynamic systems which are characterized by energy and entropy, ML systems possess these characteristics as well. This comparison inspire us to…

Machine Learning · Computer Science 2024-04-23 Dong Zhang

In this paper, we discuss theoretically the behavior of the four point nonlinear susceptibility and its associated correlation length for supercooled liquids close to the Mode Coupling instability temperature $T_c$. We work in the…

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

The structure of polar liquids and electrolytic solutions, such as water and aqueous electrolytes, at interfaces underlies numerous phenomena in physics, chemistry, biology, and engineering. In this work, we develop a continuum theory that…

Soft Condensed Matter · Physics 2022-07-13 J. Pedro de Souza , Alexei A. Kornyshev , Martin Z. Bazant

Despite the critical importance of the elastic properties of modern materials, there is not a singular model that can predict the modulus to an accuracy needed for industrial glass design. To address this problem, we propose an approach to…

Materials Science · Physics 2019-02-15 Collin J. Wilkinson , Qiuju Zheng , Liping Huang , John. C. Mauro