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We directly detect the ergodicity breaking in a lattice glass model by a numerical simulation. The obtained results nicely agree with those by the cavity method that the model on a regular random graph exhibits a dynamical transition with…

Disordered Systems and Neural Networks · Physics 2014-01-21 Munetaka Sasaki , Koji Hukushima

Below the onset temperature $T_\text{o}$, the equilibrium relaxation time of most glass-forming liquids exhibits glassy dynamics characterized by super-Arrhenius temperature dependence. In this supercooled regime, the relaxation dynamics…

Statistical Mechanics · Physics 2023-05-03 Dimitrios Fraggedakis , Muhammad R. Hasyim , Kranthi K. Mandadapu

This study introduces a modeling approach aimed at elucidating the pivotal role of symmetry in phase transitions, focusing specifically on the isotropic-nematic (I-N) transition characteristic of liquid crystal systems. By leveraging…

Soft Condensed Matter · Physics 2025-01-22 Szymon Starzonek , Aleš Iglič , Aleksandra Drozd-Rzoska , Sylwester J. Rzoska

A lattice model of spinless interacting electrons is used to formulate the Landau theory of the Fermi liquid to electron glass quantum phase transition. We demonstrate that the presence of additional random site energies does not affect the…

Strongly Correlated Electrons · Physics 2009-11-07 Denis Dalidovich , V. Dobrosavljevic

An open question is whether the liquid and glassy phases of water are thermodynamically distinct or continuous. Here we address this question using molecular dynamics simulations in comparison with neutron scattering experiments to study…

Condensed Matter · Physics 2007-05-23 Francis W. Starr , Marie-Claire Bellissent-Funel , H. Eugene Stanley

The ac nonlinear dielectric response $\chi_3(\omega,T)$ of glycerol was measured close to its glass transition temperature $T_g$ to investigate the prediction that supercooled liquids respond in an increasingly non-linear way as the…

Soft Condensed Matter · Physics 2015-05-18 C. Crauste-Thibierge , C. Brun , F. Ladieu , D. L'Hote , G. Biroli , J-P. Bouchaud

The dynamics of the random-phase sine-Gordon model, which describes 2D vortex-glass arrays and crystalline surfaces on disordered substrates, is investigated using the self-consistent Hartree approximation. The fluctuation-dissipation…

Condensed Matter · Physics 2009-10-22 D. Cule , Y. Shapir

Characterizing the local structural evolution is an essential step in understanding the nature of glass transition. In this work, we probe the evolution of Voronoi cell geometry in simple glass models, and find that the individual particle…

Soft Condensed Matter · Physics 2023-05-09 Huijun Zhang , Feng Liu , Yilong Han

We present an extensive study of vortex dynamics in a high-quality single crystal of HgBa$_2$CuO$_{4+\delta}$ (Hg1201), a highly anisotropic superconductor that is a model system for studying the effects of anisotropy. From magnetization…

Superconductivity · Physics 2020-06-25 Serena Eley , Roland Willa , Mun K. Chan , Eric D. Bauer , Leonardo Civale

We study the temperature dependence of the conductivity of the 2D electronic solid. In realistic samples, a domain structure forms in the solid and each domain randomly orients in the absence of the in-plane field. At higher temperature,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Shi-Jie Yang , Yue Yu

Prompted by results that showed that a simple protein model, the frustrated G\=o model, appears to exhibit a transition reminiscent of the protein dynamical transition, we examine the validity of this model to describe the low-temperature…

Statistical Mechanics · Physics 2014-01-24 Johannes-Geert Hagmann , Naoko Nakagawa , Michel Peyrard

In this paper, we discuss theoretically the behavior of the four point nonlinear susceptibility and its associated correlation length for supercooled liquids close to the Mode Coupling instability temperature $T_c$. We work in the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Silvio Franz , Giorgio Parisi

Simple statistical agglomeration models can provide a universal link between the local structure and the glass transition temperature in network glasses. We first stress the physical features of the models and the hypothesis made, and then…

Materials Science · Physics 2009-10-31 Matthieu Micoulaut

We show numeric evidence that, at low enough temperatures, the potential energy density of a glass-forming liquid fluctuates over length scales much larger than the interaction range. We focus on the behavior of translationally invariant…

Soft Condensed Matter · Physics 2009-04-21 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio

By confining water in nano-pores of silica glass, we can bypass the crystallization and study the pressure effect on the dynamical behavior in deeply supercooled state using neutron scattering. We observe a clear evidence of a cusp-like…

Soft Condensed Matter · Physics 2009-11-11 Li Liu , Sow-Hsin Chen , Antonio Faraone , Chun-Wan Yen , Chung-Yuan Mou

Melt supercooling leads to glass formation. Liquid-to-liquid phase transitions are observed depending on thermal paths. Viscosity, density and surface tension thermal dependences measured at heating and subsequent cooling show hysteresis…

Materials Science · Physics 2016-12-21 Robert F. Tournier

Glass-to-glass and liquid-to-liquid phase transitions are observed in bulk and confined water, with or without applied pressure. They result from the competition of two liquid phases separated by an enthalpy difference depending on…

Disordered Systems and Neural Networks · Physics 2017-11-21 Robert F. Tournier

When the center of fluctuations, i.e., the nonequilibrium eigenphase, undergoes transformation, there emerge critical parameters that demonstrate insensitivity to fluctuation perturbations and even independence from the molecular physical…

Statistical Mechanics · Physics 2025-03-11 Yikun Ren , Feixiang Xu , Ming Lin

The properties of amorphous solid water at and near the calorimetric glass transition temperature, $T_{g}$, of 136 K have been debated for years. One hypothesis is that water turns into a "true" liquid at $T_{g}$ (i.e., it becomes ergodic)…

Soft Condensed Matter · Physics 2025-03-03 Greg A. Kimmel , Megan K. Dunlap , Kirill Gurdumov , R. Scott Smith , Loni Kringle , Bruce D. Kay

We investigate numerically the low temperature equilibration of glassy systems via non-local Monte Carlo methods. We re-examine several systems that have been studied previously and investigate new systems in order to test the performance…

Soft Condensed Matter · Physics 2007-05-23 Yisroel Brumer , David R. Reichman