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We present a mesoscopic lattice model for non-ideal fluid flows with directional interactions, mimicking the effects of hydrogen-bonds in water. The model supports a rich and complex structural dynamics of the orientational order parameter,…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Irene Mazzitelli , Maddalena Venturoli , Simone Melchionna , Sauro Succi

We show how dynamical heterogeneities in glass forming systems emerge as a consequence of the existence of dynamical constraints, and we offer an interpretation of the glass transition as an entropy crisis in trajectory space (space-time)…

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

This paper shows nonlinear stability of homogeneous states in second-order hyperbolic systems of partial differential equations that model the dynamics of dissipative relativistic fluids, by checking a dissipativity criterion formulated…

Analysis of PDEs · Mathematics 2025-04-25 Heinrich Freistuhler , Matthias Sroczinski

A relation between equilibrium, steady-state, and waiting-time dependent dynamical two-time correlation functions in dense glass-forming liquids subject to homogeneous steady shear flow is discussed. The systems under study show pronounced…

Soft Condensed Matter · Physics 2015-05-18 Matthias Krüger , Fabian Weysser , Thomas Voigtmann

We consider patterns formed in a two-dimensional thin film on a planar substrate with a Derjaguin disjoining pressure and periodic wettability stripes. We rigorously clarify some of the results obtained numerically by Honisch et al. and…

Pattern Formation and Solitons · Physics 2022-09-07 A. S. Alshaikhi , M. Grinfeld , S. K. Wilson

Dynamic heterogeneity is expected to be a key concept for understanding the origin of slow dynamics near the glass transition. In previous studies, quantitative evaluations of dynamic heterogeneity have been attempted using two different…

Disordered Systems and Neural Networks · Physics 2022-04-11 Kohsei Kanayama , Taiki Hoshino , Ryoichi Yamamoto

In off-equilibrium dynamics we define a dynamical correlation length which is proportional to the size of the region in which the atoms move in a correlated way. General arguments indicate that this dynamical correlation length diverges at…

Condensed Matter · Physics 2007-05-23 Giorgio Parisi

Advances in high-precision dielectric spectroscopy has enabled access to non-linear susceptibilities of polar molecular liquids. The observed non-monotonic behavior has been claimed to provide strong support for theories of dynamic arrest…

Soft Condensed Matter · Physics 2021-07-07 Thomas Speck

The slow flow of amorphous solids exhibits striking heterogeneities: swift localised particle rearrangements take place in the midst of a more or less homogeneously deforming medium. Recently, experimental as well as numerical work has…

Soft Condensed Matter · Physics 2014-03-04 Alexandre Nicolas , Joerg Rottler , Jean-Louis Barrat

We present new method for studying the equilibrium properties of interacting fluids in an arbitrary external filed. The method is valid in any dimension and it yields an exact results in one dimension. Using this approach, we derive a…

Soft Condensed Matter · Physics 2017-02-17 Benaoumeur Bakhti

We obtain analytic expressions for the time correlation functions of a liquid of spherical particles, exact in the limit of high dimensions $d$. The derivation is long but straightforward: a dynamic virial expansion for which only the first…

Statistical Mechanics · Physics 2016-01-08 Thibaud Maimbourg , Jorge Kurchan , Francesco Zamponi

Double-diffusive convection refers to mixing where the effects of thermal and composition gradients compete to determine the stability of a fluid. In addition to the familiar fast convective instability, such fluids exhibit the slow, direct…

Astrophysics · Physics 2015-06-24 Scott A. Grossman , Ronald E. Taam

We comment on a recent Letter in Phys. Rev. Lett. (M. Kafesaki, R. S. Penciu, and E. N. Economou, Phys. Rev. Lett. {\bf 84}, 6050 (2000))

Fluid Dynamics · Physics 2007-05-23 Z. Ye , Y. Y. Chen , A. Alvarez

This series of papers is devoted to identifying and explaining the properties of strongly correlating liquids, i.e., liquids with more than 90% correlation between their virial W and potential energy U fluctuations in the NVT ensemble.…

Soft Condensed Matter · Physics 2012-03-27 Thomas B. Schrøder , Nicoletta Gnan , Ulf R. Pedersen , Nicholas P. Bailey , Jeppe C. Dyre

The formulation of the mean-field, infinite-dimensional solution of hard sphere glasses is a significant milestone for theoretical physics. How relevant this description might be for understanding low-dimensional glass-forming liquids,…

Statistical Mechanics · Physics 2022-05-03 Patrick Charbonneau , Yi Hu , Joyjit Kundu , Peter K. Morse

A key question in the interaction of droplets with lubricated and liquid-infused surfaces is what determines the apparent contact angle of droplets. Previous work has determined this using measured values of the geometry of the `skirt' --…

Soft Condensed Matter · Physics 2022-06-03 Zhaohe Dai , Dominic Vella

Previously, it has been shown that the direct correlation function for a Lennard-Jones fluid could be modeled by a sum of that for hard-spheres, a mean-field tail and a simple linear correction in the core region constructed so as to…

Statistical Mechanics · Physics 2008-08-20 James F. Lutsko

There exists a variety of theories of the glass transition and many more numerical models. But because the models need built-in complexity to prevent crystallization, comparisons with theory can be difficult. We study the dynamics of a…

Statistical Mechanics · Physics 2010-04-16 P. Charbonneau , A. Ikeda , J. A. van Meel , K. Miyazaki

We investigate the growth of dynamic heterogeneity in a glassy hard-sphere mixture for volume fractions up to and including the mode-coupling transition. We use an 80 000 particle system to test a new procedure to evaluate a dynamic…

Soft Condensed Matter · Physics 2015-05-19 Elijah Flenner , Grzegorz Szamel

We have developed x-ray diffraction measurements with high energy-resolution and accuracy to study water structure at three different temperatures (7, 25 and 66 C) under normal pressure. Using a spherically curved Ge crystal an energy…

Soft Condensed Matter · Physics 2017-09-13 Congcong Huang , K. T. Wikfeldt , D. Nordlund , U. Bergmann , T. McQueen , J. Sellberg , L. G. M. Pettersson , A. Nilsson