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The general Ericksen-Leslie system for the flow of nematic liquid crystals is reconsidered in the non-isothermal case aiming for thermodynamically consistent models. The non-isothermal model is then investigated analytically. A fairly…

Analysis of PDEs · Mathematics 2015-04-07 Matthias Hieber , Jan Pruess

A theory for the non-local stress in liquids captures the crossover from viscous to elastic correlations upon supercooling. It explains the emergence of long-ranged stress fields in glass which originate from the coupling of shear stress to…

Soft Condensed Matter · Physics 2022-05-03 Annette Zippelius , Matthias Fuchs

Phase transformations such as freezing typically start with heterogeneous nucleation. Heterogeneous nucleation near a wetting transition, of a crystalline phase is studied. The wetting transition occurs at or near a vapour-liquid transition…

Statistical Mechanics · Physics 2009-11-07 Richard P. Sear

Recent advances in experimental and computational techniques have allowed for an accurate description of the adsorption of ionic liquids on metallic electrodes. It is now well established that they adopt a multi-layered structure, and that…

Materials Science · Physics 2016-03-15 Benjamin Rotenberg , Mathieu Salanne

We argue that there is a new liquid phase in the two-dimensional electron system in Si MOSFETs at low enough electron densities. The recently observed metal-insulator transition results as a crossover from the percolation transition of the…

Strongly Correlated Electrons · Physics 2009-10-30 Song He , X. C. Xie

We connect the configurational entropy of a liquid to the geometrical properties of its local energy landscape, using a high-temperature expansion. It is proposed that correlations between local structures arises from their overlap and,…

Soft Condensed Matter · Physics 2016-08-24 Pierre Ronceray , Peter Harrowell

Liquid-liquid phase transition of hydrogen is at the center of hydrogen phase diagram as a promising route towards emergent properties such as the Wigner-Huntington metallization, superconductivity, and superfluidity. Here we report a study…

Materials Science · Physics 2022-06-27 Jianqing Guo , Bingqing Cheng , Limei Xu , Enge Wang , Ji Chen

The most puzzling aspect of the glass transition observed in laboratory is an apparent decoupling of dynamics from structure. In this paper we recount the implication of various theories of glass transition for the static correlation length…

Disordered Systems and Neural Networks · Physics 2017-02-08 S. Davatolhagh

We discuss some generic features of the dynamics of glass-forming liquids close to the glass transition singularity of the idealized mode-coupling theory (MCT). The analysis is based on a recent model by one of the authors for the…

Statistical Mechanics · Physics 2015-10-07 Tommaso Rizzo , Thomas Voigtmann

When a liquid freezes, a change in the local atomic structure marks the transition to the crystal. When a liquid is cooled to form a glass, however, no noticeable structural change marks the glass transition. Indeed, characteristic features…

Soft Condensed Matter · Physics 2015-11-24 Samuel S. Schoenholz , Ekin D. Cubuk , Daniel M. Sussman , Efthimios Kaxiras , Andrea J Liu

Despite the fundamental importance of solid--solid transitions for metallurgy, ceramics, earth science, reconfigurable materials, and colloidal matter, the details of how materials transform between two solid structures are poorly…

Soft Condensed Matter · Physics 2017-09-08 Chrisy Xiyu Du , Greg van Anders , Richmond S. Newman , Sharon C. Glotzer

The distinctive characteristics of water, evident in its thermodynamic anomalies, have implications across disciplines from biology to geophysics. Considered a valid hypothesis to rationalize its unique properties, a liquid-liquid phase…

Soft Condensed Matter · Physics 2025-12-08 Maria Grazia Izzo , John Russo , Giorgio Pastore

A unified treatment of structural relaxation in a deeply supercooled glassy liquid is developed which extends the existing mode coupling theory (MCT) by incorporating the effects of activated events by using the concepts from the random…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sarika Maitra Bhattacharyya , Biman Bagchi , Peter G. Wolynes

We divide glass and viscous liquid sciences into two major research areas, the first dealing with how to avoid crystals and so access the viscous liquid state, and the second dealing with how liquids behave when no crystals form. We review…

Disordered Systems and Neural Networks · Physics 2009-11-13 C. Austen Angell

The mean-square displacement (MSD) was measured by neutron scattering at various temperatures and pressures for a number of molecular glass-forming liquids. The MSD is invariant along the glass-transition line at the pressure studied, thus…

Soft Condensed Matter · Physics 2012-03-27 K. Niss , C. Dalle-Ferrier , B. Frick , D. Russo , J. Dyre , C. Alba-Simionesco

Supercooled liquids exhibit spatial heterogeneity in the dynamics of their fluctuating atomic arrangements. The length and time scales of the heterogeneous dynamics are central to the glass transition and influence nucleation and growth of…

Materials Science · Physics 2018-05-09 Pei Zhang , Jason J. Maldonis , Ze Liu , Jan Schroers , Paul M. Voyles

We find that both continuous and discontinuous hexatic-liquid transitions can happen in the melting of two-dimensional solids of soft-core disks. For three typical model systems, Hertzian, harmonic, and Gaussian-core models, we observe the…

Soft Condensed Matter · Physics 2016-08-19 Mengjie Zu , Jun Liu , Hua Tong , Ning Xu

The interrelation of dynamic processes active on separated time-scales in glasses and viscous liquids is investigated using a model displaying two time-scale bifurcations both between fast and secondary relaxation and between secondary and…

Disordered Systems and Neural Networks · Physics 2015-03-19 Andrea Crisanti , Luca Leuzzi , Matteo Paoluzzi

Within the mode-coupling theory for ideal glass-transitions, the mean-squared displacement and the correlation function for density fluctuations are evaluated for a colloidal liquid of particles interacting with a square-well potential for…

Soft Condensed Matter · Physics 2007-05-23 M. Sperl

Randomly disordered (polydomain) liquid crystalline elastomers align under stress. We study the dynamics of stress relaxation before, during and after the Polydomain-Monodomain transition. The results for different materials show the…

Soft Condensed Matter · Physics 2016-08-31 S. M. Clarke , E. M. Terentjev