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The closed analytical expression for the electron density of states function in a rectangular lattice is derived in an elementary way in terms of complete elliptic integrals of the first kind. The lattice can be treated as a deformed square…

Strongly Correlated Electrons · Physics 2008-04-30 Ryszard Piasecki

We summarize current developments in the investigation of glassy matter using nonlinear dielectric spectroscopy. This work also provides a brief introduction into the phenomenology of the linear dielectric response of glass-forming…

Disordered Systems and Neural Networks · Physics 2017-08-30 P. Lunkenheimer , M. Michl , Th. Bauer , A. Loidl

The onset of structural arrest and glass formation in a concentrated suspension of silica nanoparticles in a water-lutidine binary mixture near its consolute point is studied by exploiting the near-critical fluid degrees of freedom to…

Soft Condensed Matter · Physics 2009-11-13 Xinhui Lu , S. G. J. Mochrie , S. Narayanan , A. R. Sandy , M. Sprung

Unlike crystals, glasses age or devitrify over time, reflecting their non-equilibrium nature. This lack of stability is a serious issue in many industrial applications. Here, we show by numerical simulations that the devitrification of…

Soft Condensed Matter · Physics 2021-11-25 Taiki Yanagishima , John Russo , Roel P A Dullens , Hajime Tanaka

In this work we provide a thorough examination of the nonlinear dielectric properties of a succinonitrile-glutaronitrile mixture, representing one of the rare example of a plastic crystal with fragile glassy dynamics. The detected…

Disordered Systems and Neural Networks · Physics 2016-03-24 M. Michl , Th. Bauer , P. Lunkenheimer , A. Loidl

Recent literature indicates that attractive interactions between particles of a dense liquid play a secondary role in determining its bulk mechanical properties. Here we show that, in contrast with their apparent unimportance to the bulk…

Soft Condensed Matter · Physics 2021-02-11 Karina González-López , Mahajan Shivam , Yuanjian Zheng , Massimo Pica Ciamarra , Edan Lerner

Pressure is the mechanical force per unit area that a confined system exerts on its container. In thermal equilibrium, it depends only on bulk properties (density, temperature, etc.) through an equation of state. Here we show that in a wide…

Statistical Mechanics · Physics 2015-12-17 A. P. Solon , Y. Fily , A. Baskaran , M. E. Cates , Y. Kafri , M. Kardar , J. Tailleur

We study the dynamics of a one-dimensional fluid of orientable hard rectangles with a non-coarse-grained microscopic mechanism of facilitation. The length occupied by a rectangle depends on its orientation, which is coupled to an external…

Disordered Systems and Neural Networks · Physics 2011-12-09 Jeferson J. Arenzon , Deepak Dhar , Ronald Dickman

The dielectric properties of molecules or nanostructures are usually modified in a complex manner, when assembled into a condensed phase. We propose a first-principles method to compute polarizabilities of sub-entities of solids and…

Chemical Physics · Physics 2018-09-10 Ding Pan , Marco Govoni , Giulia Galli

Complex permittivity studies on glassy poly(vinyl alcohol)/poly(vinyl pyrrolidone) (1/1) at proper pressure-temperature condition, provide the activation volume and energy values for both dc conductivity and \b{eta}-relaxation. The…

Materials Science · Physics 2018-11-01 Eirini Kolonelou , Anthony N. Papathanassiou , Elias Sakellis

With gradual temperature increase in premelting regions of solid phase of methanol and high pressure phase of ethanol, and using novel procedure of separation of electrode polarization effects, we are able to register the contribution of…

Materials Science · Physics 2022-05-11 M. V. Kondrin , A. A. Pronin , Y. B. Lebed , V. V. Brazhkin

An analysis of the glass transition of four materials with similar chemical structures is performed: PET, PEN and two PET/PEN blends (90/10 and 70/30 w/w). During the melt processing of the blends transesterification reactions yield block…

Materials Science · Physics 2015-06-05 J. Sellares , J. A. Diego , J. C. Canadas , M. Mudarra , J. Belana , P. Colomer , F. Roman , Y. Calventus

The non-exponential character of the structural relaxation is considered one of the hallmarks of the glassy dynamics and in this context, the singular shape observed by dielectric techniques has attracted the attention of the community for…

Soft Condensed Matter · Physics 2023-05-17 Silvia Arrese-Igor , Angel Alegria , Juan Colmenero

In previous work the parameter of glassiness was introduced to distinguish between a liquid and a glass, using a formal analogy with the quantum Bose system. The glassiness is defined in such a way that it is unity in a frozen system and…

Statistical Mechanics · Physics 2009-11-13 Ziv Rader , Moshe Schwartz

We present a study of the relaxation dynamics of the photoexcited conductivity of the impurity states in the low-density electronic glass, phosphorous-doped silicon Si:P. Using optical pump-terahertz probe spectroscopy we find strongly…

Disordered Systems and Neural Networks · Physics 2010-09-16 V. K. Thorsmølle , N. P. Armitage

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

Negative activation volumes for dielectric relaxation are rarely reported in solid state physics and are limited to atomic scale processes. Broadband Dielectric Spectroscopy on heterogeneous systems, such as polycrystalline calcite and…

Geophysics · Physics 2025-05-23 Anthony N. Papathanassiou

Thermodynamic multi-component solution solidification approach to liquid-to-glass transition is proposed and actual mechanisms underlying vitrification, other than viscous slowdown, are identified. Due to polydisperse aggregation in liquid…

Materials Science · Physics 2022-09-14 Vladimir Belostotsky

For most silicates, controlling the crystallization - through the nucleation, growth, and stabilization of distinct crystalline phase - is critical to achieving the desired physical properties in the final glass-ceramic product. In this…

We conduct a numerical study of the dynamic behavior of a dense hard sphere fluid by deriving and integrating a set of Langevin equations. The statics of the system is described by a free energy functional of the Ramakrishnan-Yussouff form.…

Condensed Matter · Physics 2009-10-22 Lisa M. Lust , Oriol T. Valls , Chandan Dasgupta