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In the vicinity of the glass transition, the characteristic relaxation time (e.g., the alpha-relaxation time in dielectric spectroscopy) of a glass-former exhibits a strongly super-Arrhenius temperature dependence, as compared to the…

Disordered Systems and Neural Networks · Physics 2026-04-16 Valeriy V. Ginzburg , Oleg Gendelman , Riccardo Casalini , Alessio Zaccone

Dielectric relaxation spectroscopy (1 Hz - 20 GHz) has been performed on supercooled glass-formers from the temperature of glass transition (T_g) up to that of melting. Precise measurements particularly in the frequencies of MHz-order have…

Disordered Systems and Neural Networks · Physics 2009-11-07 Takuya Fujima , Hiroshi Frusawa , Kohzo Ito

It was shown recently that the structural alpha-relaxation time tau of supercooled o-terphenyl depends on a single control parameter Gamma, which is the product of a function of density E(ro), by the inverse temperature T -1. We extend this…

Disordered Systems and Neural Networks · Physics 2009-11-10 C. Dreyfus , A. Le Grand , J. Gapinski , W. Steffen , A. Patkowski

We present the temperature dependence of alpha-relaxation times of 13 glass formers determined from broadband dielectric spectroscopy, also including data from aging measurements. The data sets partly cover relaxation-time ranges of up to…

Soft Condensed Matter · Physics 2010-06-03 P. Lunkenheimer , S. Kastner , M. K öhler , A. Loidl

We use molecular dynamics computer simulations to study the relaxation dynamics of a viscous melt of silica. The coherent and incoherent intermediate scattering functions, F_d(q,t) and F_s(q,t), show a crossover from a nearly exponential…

Statistical Mechanics · Physics 2009-11-07 Jurgen Horbach , Walter Kob

The phenomenon of the glass transition is an unresolved problem of condensed matter physics. Its prominent feature, the super-Arrhenius temperature dependence of the transport coefficients remains a challenge to be described over the full…

Soft Condensed Matter · Physics 2015-06-04 B. Schmidtke , N. Petzold , R. Kahlau , M. Hofmann , E. A. Rossler

A recently proposed expression to describe the temperature and volume dependences of the structural (or alpha) relaxation time is discussed. This equation satisfies the scaling law for the relaxation times, tau = f(TV^g), where T is…

Soft Condensed Matter · Physics 2009-11-13 R. Casalini , C. M. Roland

Generic glass formers exhibit at least two characteristic changes in their relaxation behavior, first to an Arrhenius-type relaxation at some characteristic temperature, and then at a lower characteristic temperature to a super-Arrhenius…

Disordered Systems and Neural Networks · Physics 2012-03-08 H. George E. Hentschel , Smarajit Karmakar , Itamar Procaccia , Jacques Zylberg

The temperature dependence of the viscosity of glass is a major concern in the field of glass research. Strong deviations from the Arrhenius law make the interpretation of the activation energy difficult. In the present study, a reasonable…

Disordered Systems and Neural Networks · Physics 2022-01-05 Koun Shirai

We consider a frustrated spin model with a glassy dynamics characterized by a slow component and a fast component in the relaxation process. The slow process involves variables with critical behavior at finite temperature T_p and has a…

Disordered Systems and Neural Networks · Physics 2016-11-23 Giancarlo Franzese

We show that the density and temperature dependences of the $\alpha$-relaxation time of several glassforming polymers can be described through a single scaling variable $X=e(\rho)/T$, where $e(\rho)$ is well fitted by a power law $\rho^x$,…

Soft Condensed Matter · Physics 2009-11-10 C. Alba-Simionesco , A. Cailliaux , A. Alegria , G. Tarjus

There has been renewed interest in the frequency dependent specific heat of supercooled liquids in recent years with computer simulation studies exploring the whole frequency range of relaxation. The simulation studies can thus supplement…

Soft Condensed Matter · Physics 2009-11-10 Dwaipayan Chakrabarti , Biman Bagchi

The dynamical properties of a 2D Heisenberg model with dipolar interactions and perpendicular anisotropy are studied using Monte Carlo simulations in two different ordered regions of the equilibrium phase diagram. We find a temperature…

Materials Science · Physics 2015-03-12 Rogelio Díaz-Méndez , Roberto Mulet

We propose that the super-Arrhenius relaxation rates observed in glassy materials are determined by thermally nucleated rearrangements of increasing numbers of molecules at decreasing temperatures. In our model of this mechanism,…

Materials Science · Physics 2016-08-16 J. S. Langer , Anaël Lemaître

We propose that the salient feature to be explained about the glass transition of supercooled liquids is the temperature-controlled superArrhenius activated nature of the viscous slowing down, more strikingly seen in weakly-bonded, fragile…

Statistical Mechanics · Physics 2009-10-31 Gilles Tarjus , Daniel Kivelson , Pascal Viot

A model glass is considered with one type of fast ($\beta$-type) of processes, and one type of slow processes ($\alpha$-type). On time-scales where the fast ones are in equilibrium, the slow ones have a dynamics that resembles the one of…

Statistical Mechanics · Physics 2009-11-07 Luca Leuzzi , Theo M. Nieuwenhuizen

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

Amorphous glass-forming polymers exhibit multiple relaxation processes, including the structural {\alpha}-relaxation associated with the glass transition and faster secondary relaxations that typically follow Arrhenius behavior. Recently, a…

Soft Condensed Matter · Physics 2026-03-10 Valeriy V. Ginzburg , Oleg V. Gendelman , Simone Napolitano , Riccardo Casalini , Alessio Zaccone

The observed temperature dependence of electrical conduction in polymer electrolytes is usually fitted with two separated equations: an Arrhenius equation at low temperatures and Vogel-Tamman-Fulcher (VTF) at high temperatures. We report…

Materials Science · Physics 2007-05-23 Mikrajuddin , I. Wuled Lenggoro , Kikuo Okuyama

In this article we study a simple, purely topological, cellular model which is allowed to evolve through a Glauber-Kawasaki process. We find a non-thermodynamic transition to a glassy phase in which the energy (defined as the square of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Lexie Davison , David Sherrington
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