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I describe a class of spin models with short--range plaquette interactions whose static equilibrium properties are trivial but which display glassy dynamics at low temperatures. These models have a dual description in terms of free defects…

Statistical Mechanics · Physics 2009-11-07 Juan P. Garrahan

The potential energy landscape (PEL) formalism is a statistical mechanical approach to describe supercooled liquids and glasses. Here we use the PEL formalism to study the pressure-induced transformations between low-density amorphous ice…

Statistical Mechanics · Physics 2019-07-24 Philip H. Handle , Francesco Sciortino , Nicolas Giovambattista

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

An analysis of diffusion in a supercooled liquid based solely in the density of diffusive directions and the value of energy barriers shows how the potential energy landscape (PEL) approach is capable of explaining the $\alpha$ and $\beta$…

Statistical Mechanics · Physics 2015-06-25 Manuel I. Marques , H. Eugene Stanley

We discuss the microscopic mechanisms by which low-temperature amorphous states, such as ultrastable glasses, transform into equilibrium fluids, after a sudden temperature increase. Experiments suggest that this process is similar to the…

Statistical Mechanics · Physics 2016-07-05 Robert L. Jack , Ludovic Berthier

The frequency-dependent dielectric constant, shear and adiabatic bulk moduli, longitudinal thermal expansion coefficient, and longitudinal specific heat have been measured for two van der Waals glass-forming liquids,…

Soft Condensed Matter · Physics 2012-02-28 Bo Jakobsen , Tina Hecksher , Kristine Niss , Tage Christensen , Niels Boye Olsen , Jeppe C. Dyre

We propose a dynamic structure of coupled dynamic molecular strings for supercooled small polar molecule liquids and accordingly we obtain the Hamiltonian of the rotational degrees of freedom of the system. From the Hamiltonian, the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Y. N. Huang , C. J. Wang , E. Riande

Bell inequalities or Bell-like experiments are supposed to test hidden variable theories based on three intuitive assumptions: determinism, locality and measurement independence. If one of the assumptions of Bell inequality is properly…

Quantum Physics · Physics 2018-04-19 R. Rossi , Leonardo A. M. Souza

We study the equilibrium and near-equilibrium properties of a holographic five-dimensional model consisting of Einstein gravity coupled to a scalar field with a non-trivial potential. The dual four-dimensional gauge theory is not conformal…

We use computer simulation to investigate the topology of the potential energy $V(\{{\bf R}\})$ and to search for doublewell potential's (DWP) in a model glass . By a sequence of Newtonian and dissipative dynamics we find different minima…

Disordered Systems and Neural Networks · Physics 2007-05-23 F. Demichelis , G. Viliani , G. Ruocco

We have performed a detailed dielectric investigation of the relaxational dynamics of glass-forming benzophenone. Our measurements cover a broad frequency range of 0.1 Hz to 120 GHz and temperatures from far below the glass temperature well…

Disordered Systems and Neural Networks · Physics 2008-04-15 P. Lunkenheimer , L. C. Pardo , M. Köhler , A. Loidl

The research is important for a molecular theory of liquid and has a wide interest as an example solving the problem when dynamic parameters of systems can be indirectly connected with their equilibrium properties. In frameworks of the…

Statistical Mechanics · Physics 2007-05-23 Andrei N. Yakunin

A classical model of fluid dynamics is considered which describes the shape evolution of a viscous liquid droplet on a homogeneous substrate. All equilibria are characterized and their stability is analyzed by a geometric reduction…

Analysis of PDEs · Mathematics 2018-08-14 Patrick Guidotti

Understanding relaxation of supercooled fluids is a major challenge and confining such systems can lead to bewildering behaviour. Here we exploit an optically confined colloidal model system in which we use reduced pressure as a control…

Soft Condensed Matter · Physics 2020-11-10 Ian Williams , Erdal C. Oğuz , Paul Bartlettl , Hartmut Löwen , C. Patrick Royall

Atomistic deformation simulations in the nominally elastic regime are performed for a model binary glass with strain rates as low as $10^{4}$/sec (corresponding to 0.01 shear strain per 1$\mu$sec). A robust elasticity is revealed that…

Soft Condensed Matter · Physics 2020-11-21 P. M. Derlet , R. Maass

By extending the concept of diffusion to the potential energy landscapes (PELs), we introduce the mean-squared energy difference (MSED) as a novel quantity to investigate the intrinsic properties of glass. MSED can provide a clear…

Disordered Systems and Neural Networks · Physics 2025-04-11 Dianmo Zhang , Deyan Sun , Xingao Gong

Upon cooling, glass-forming liquids experience a two-step relaxation associated to the cage rattling and the escape from the cage, and the following decoupling between the \b{eta}- and the {\alpha}-relaxations. The found decoupling…

Disordered Systems and Neural Networks · Physics 2017-06-07 P. Luo , P. Wen , H. Y. Bai , B. Ruta , W. H. Wang

By systematically investigating the relaxation behavior of a model metallic glass based on the extensive molecular dynamics (MD) simulations combined with the dynamic mechanical spectroscopy method, a pronounced ultra-low temperature peak…

Materials Science · Physics 2020-02-25 B. Wang , L. J. Wang , B. S. Shang , X. Q. Gao , Y. Yang , H. Y. Bai , M. X. Pan , W. H. Wang , P. F. Guan

We attempt to give a bird's eye view of the physical mechanisms leading to anomalous relaxation, and the relation of this phenomenon with anomalous diffusion and transport. Whereas in some cases these two notions are indeed deeply related,…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jean-Philippe Bouchaud

Supercooled liquid state is a particularly interesting state in that it exhibits several unusual physical properties. To illustrate, the liquid displays a single peak relaxation frequency at high temperatures, which splits into $\alpha$…

Soft Condensed Matter · Physics 2024-12-17 Wenlong Jiang