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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

In this work, we present a new model for the interpretation of the local dynamic behavior and the mechanical reinforcement mechanism in polymer nanocomposites. The temperature dependence of the dynamics in the glassy region is described by…

Soft Condensed Matter · Physics 2019-05-16 Georgios Kritikos , Kostas Karatasos

Temperature-dependent transport data, including diffusion coefficients and ionic conductivities, are routinely analysed by fitting empirical models such as the Arrhenius equation. These fitted models yield parameters such as the activation…

Materials Science · Physics 2026-05-25 Andrew R. McCluskey , Samuel W. Coles , Benjamin J. Morgan

The Arrhenius crossover temperature, $T_{A}$, corresponds to a thermodynamic state wherein the atomistic dynamics of a liquid becomes heterogeneous and cooperative; and the activation barrier of diffusion dynamics becomes…

Materials Science · Physics 2023-01-31 Bulat N. Galimzyanov , Maria A. Doronina , Anatolii V. Mokshin

While anomalous diffusion coefficients with non-Arrhenius like temperature dependence are observed in a number of metals, a conclusive comprehensive framework of explanation has not been brought forward to date. Here, we use…

Materials Science · Physics 2022-07-19 Yaxian Wang , Zhangqi Chen , Wolfgang Windl , Ji-Cheng Zhao

Unlike crystalline solids or ideal gases, transport properties remain difficult to describe from a microscopic point of view in liquids, whose dynamics result from complex energetic and entropic contributions at the atomic scale. Two…

Soft Condensed Matter · Physics 2022-08-16 Farid Rizk , Simon Gelin , Anne-Laure Biance , Laurent Joly

The Cahn-Hilliard equation is a fundamental model that describes phase separation processes of binary mixtures. In this paper we focus on the dynamics of these binary media, when the underlying temperature is not constant. The aim of this…

Analysis of PDEs · Mathematics 2022-10-03 Francesco De Anna , Chun Liu , Anja Schlömerkemper , Jan-Eric Sulzbach

The self-diffusion process in a dense liquid is influenced by collective particle movements. Extensive molecular dynamics simulations for liquid aluminium and rubidium evidence a crossover in the diffusion coefficient at about $1.4$ times…

Disordered Systems and Neural Networks · Physics 2024-12-03 Franz Demmel , Noel Jakse

A reliable model of viscosity in liquids using a dual liquid model framework is developed. The analytical expression arrived at exhibits the correct T-dependence Arrhenius-like. It is compared with the values of viscosity for water with…

Mesoscale and Nanoscale Physics · Physics 2024-12-04 Fabio Peluso

Ionic conductivity in solid electrolytes is commonly expected to exhibit Arrhenius dependence on temperature, determined by a well-defined activation energy. Consequently, a standard approach involves calculating this energy using…

Mesoscale and Nanoscale Physics · Physics 2024-04-11 Keian Noori , Ben A. Olsen , Aleksandr Rodin

We have developed a thorough and accurate method of determining anharmonic free energies, the temperature dependent effective potential technique (TDEP). It is based on \emph{ab initio} molecular dynamics followed by a mapping onto a model…

Statistical Mechanics · Physics 2013-10-14 Olle Hellman , Peter Steneteg , Igor A. Abrikosov , Sergei I. Simak

Experimental data on the viscosity and self-diffusion coefficient of two metallic compounds in their fluid phases, i.e. potassium and thallium, are modeled using the translational elastic mode theory which has been successfully applied to…

Statistical Mechanics · Physics 2022-01-21 F. Aitken , F. Volino

The characterization of the formation mechanisms of amorphous solids is a large avenue for research, since understanding its non-Arrhenius behavior is challenging to overcome. In this context, we present one path toward modeling the…

Applicability of three popular functions (Vogel-Fulcher-Tammann, double activation law and frustration-limited domains model) for the description of the temperature dependence of alpha-relaxation time tau_alpha is considered for three…

Materials Science · Physics 2011-04-15 V. A. Popova , N. V. Surovtsev

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

Liquids realize a highly complex state of matter in which strong competing kinetic and interaction effects come to life. As such, liquids are more challenging to understand than either gases or solids generally. In weakly interacting gases,…

Soft Condensed Matter · Physics 2022-06-29 Jing Xue , Flavio S. Nogueira , K. F. Kelton , Zohar Nussinov

In this paper a generalization of the Cahn-Hilliard theory of binary liquids is presented for multi-component incompressible liquid mixtures. First, a thermodynamically consistent convection-diffusion type dynamics is derived on the basis…

Materials Science · Physics 2016-02-03 Gyula I. Toth , Mojdeh Zarifi , Bjorn Kvamme

We formulate a predictive theory at the level of forces of activated relaxation in hard sphere fluids and thermal liquids that covers in a unified manner the apparent Arrhenius, crossover and deeply supercooled regimes. The alpha relaxation…

Soft Condensed Matter · Physics 2013-10-23 Stephen Mirigian , Kenneth S. Schweizer

It is common practice to discuss the temperature effect on molecular dynamics of glass formers above the melting temperature in terms of the Arrhenius law. Using dielectric spectroscopy measurements of dc-conductivity and structural…

Materials Science · Physics 2018-04-26 Erik Thoms , Andrzej Grzybowski , Sebastian Pawlus , Marian Paluch

Accurate prediction of electron transport coefficients is crucial for understanding warm dense matter. Utilizing the density functional theory (DFT) with the Kubo-Greenwood formula is widely used to evaluate the electrical and thermal…

Materials Science · Physics 2024-02-27 Qianrui Liu , Mohan Chen
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