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A simple and predictive model is put forward explaining the experimentally observed substantial shift of the glass transition temperature, Tg, of sufficiently thin polymer films. It focuses on the limit of small molecular weight, where…

Soft Condensed Matter · Physics 2009-11-07 Stephan Herminghaus , Karin Jacobs , Ralf Seemann

We introduce a new quantity to probe the glass transition. This quantity is a linear generalized compressibility which depends solely on the positions of the particles. We have performed a molecular dynamics simulation on a glass forming…

Disordered Systems and Neural Networks · Physics 2009-11-07 Herve M. Carruzzo , Clare C. Yu

Describing the dynamics and thermodynamics of amorphous materials near the glass transition is a major challenge in soft-matter physics and polymer engineering. Here, we show that the dependence of the dielectric alpha-relaxation time on…

Soft Condensed Matter · Physics 2025-04-28 Valeriy V. Ginzburg , Oleg V. Gendelman , Riccardo Casalini , Alessio Zaccone

Densified silica can be obtained by different pressure and temperature paths and for different stress conditions, hydrostatic or including shear. The density is usually the macroscopic parameter used to characterize the different compressed…

In this paper we present a new thermodynamically consistent phase transition model describing the evolution of a liquid substance, e.g., water, in a rigid container $\Omega$ when we freeze the container. Since the density $\varrho_{2}$ of…

Analysis of PDEs · Mathematics 2014-01-10 Michel Fremond , Elisabetta Rocca

The synergetic approach proposed here is based on characteristic instability of chemical bonding in the form of the bond wave considered as the spatiotemporal correlation between the elementary acts of bond exchange. In frames of the model,…

Materials Science · Physics 2024-07-02 Elena A. Chechetkina

Latest since the landmark studies of Kovacs and co-workers on the glass transition of polymers, it is clear that thermally induced volume changes are of central importance for the understanding of the nature of the glass transition. Due to…

Soft Condensed Matter · Physics 2024-03-19 Andreas Klingler , Bernd Wetzel , Jan-Kristian Krueger

Analytical relations for the glass transition temperature, $T_g$, and the crystal melting temperature, $T_m$, are developed on the basis of nonaffine lattice dynamics. The proposed relations explain: (i) the seemingly universal factor of…

Soft Condensed Matter · Physics 2025-03-18 Alessio Zaccone , Konrad Samwer

Strong changes in bulk properties, such as modulus and viscosity, are observed near the glass transition temperature, T_{g}, of amorphous materials. For more than a century, intense efforts have been made to define a microscopic origin for…

Disordered Systems and Neural Networks · Physics 2024-04-24 Joseph B. Schlenoff , Khalil Akkaoui

We explore the instabilities developed in a fluid in which viscosity depends on temperature. In particular, we consider a dependency that models a very viscous (and thus rather rigid) lithosphere over a convecting mantle. To this end, we…

Fluid Dynamics · Physics 2014-02-13 Jezabel Curbelo , Ana M. Mancho

This work aimed to mathematically model the glass transition temperature (Tg), one of the most important parameters regarding the behavior of slag, responsible for the sudden change in thermomechanical properties of non-crystalline…

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

The glass transition temperature $T_g$ and the temperature $T_{\alpha}$ corresponding to the peak in the dielectric loss due to the $\alpha$-process have been simultaneously determined as functions of film thickness $d$ through dielectric…

Soft Condensed Matter · Physics 2009-10-31 Koji Fukao , Yoshihisa Miyamoto

We simulate the compression of a two-component Lennard-Jones liquid at a variety of constant temperatures using a molecular dynamics algorithm in an isobaric-isothermal ensemble. The viscosity of the liquid increases with pressure,…

chem-ph · Physics 2009-10-22 Shelly L. Shumway , Andrew S. Clarke , Hannes Jónsson

Crystallization kinetics has features that are universal and independent of the type of crystallized system. The possibility of using scaling relations to describe the temperature dependences of the surface self-diffusion coefficient $D_s$,…

Materials Science · Physics 2020-01-07 Anatolii V. Mokshin , Bulat N. Galimzyanov , Dinar T. Yarullin

The glass transition is considered within two toys models, a mean field spin glass and a directed polymer in a correlated random potential. In the spin glass model there occurs a dynamical transition, where the system condenses in a state…

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

This paper presents results for systems formed in a solid glassy state after nanocrystallization process above the glass temperature. We analyze electric conductivity and relaxation processes after such treatment under high temperature (HT)…

The correlations of the free-energy landscape of mean-field spin glasses at different temperatures are investigated, concentrating on models with a first order freezing transition. Using a ``potential function'' we follow the metastable…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. Barrat , S. Franz , G. Parisi

The high cooling rate needed for preparing the metallic glass (MG) makes the nonequilibrium nature of glass formation more prominent and requires a better quenching technique than ever before. Here, we formulate the cooling process in an…

Materials Science · Physics 2023-09-19 Jian Guo Wang

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

We numerically study a nondisordered lattice spin system with a first order liquid-crystal transition, as a model for supercooled liquids and glasses. Below the melting temperature the system can be kept in the metastable liquid phase, and…

Statistical Mechanics · Physics 2009-11-07 Andrea Cavagna , Irene Giardina , Tomas S. Grigera