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We use a fluctuating hydrodynamic approach to calculate the orientation fluctuations correlation functions of a thermotropic nematic liquid crystal in a nonequilibrium state induced by a stationay heat flux. Since in this nonequilibrium…

Statistical Mechanics · Physics 2016-08-16 R. F. Rodríguez , H. Híjar

Correlations disguised in various forms underlie a host of important phenomena in classical and quantum systems, such as information and energy exchanges. The quantum mutual information and the norm of the correlation matrix are both…

Quantum Physics · Physics 2020-04-15 S. Alipour , S. Tuohino , A. T. Rezakhani , T. Ala-Nissila

Ordering dynamics of self-propelled particles in an inhomogeneous medium in two-dimensions is studied. We write coarse-grained hydrodynamic equations of motion for coarse-grained density and velocity fields in the presence of an external…

Statistical Mechanics · Physics 2018-05-09 Rakesh Das , Shradha Mishra , Sanjay Puri

The mode-coupling theory of the glass transition treats the dynamics of supercooled liquids in terms of two-point density correlation functions. Here we consider a generalized, hierarchical formulation of schematic mode-coupling equations…

Statistical Mechanics · Physics 2014-11-27 Liesbeth M. C. Janssen , Peter Mayer , David R. Reichman

Disordered systems like liquids, gels, glasses, or granular materials are not only ubiquitous in daily life and in industrial applications but they are also crucial for the mechanical stability of cells or the transport of chemical and…

Disordered Systems and Neural Networks · Physics 2020-07-06 Zhen Zhang , Walter Kob

Over times shorter than that required for relaxation of enthalpy, a liquid can exhibit striking heterogeneities. The picture of these heterogeneities is complex with transient patches of rigidity, irregular yet persistent, intersected by…

Soft Condensed Matter · Physics 2010-09-30 Peter Harrowell

Hierarchical dynamics in glass-forming systems span multiple timescales, from fast vibrations to slow structural rearrangements, appearing in both supercooled fluids and glassy states. Understanding how these diverse processes interact…

Soft Condensed Matter · Physics 2025-05-28 Wensi Sun , Yanshuang Chen , Wencheng Ji , Yi Zhou , Hua Tong , Ke Chen , Xiaosong Chen , Hajime Tanaka , Peng Tan

The transition from a flowing to a static state in a granular material is studied using large-scale, 3D particle simulations. Similar to glasses, this transition is manifested in the development of a plateau in the contact normal force…

Statistical Mechanics · Physics 2007-05-23 L. E. Silbert , D. Ertas , G. S. Grest , T. C. Halsey , D. Levine

We have measured the linear dielectric susceptibility of two molecular glass formers close to Tg in order to estimate the size of the dynamically correlated clusters of molecules which are expected to govern the physics of glass formation.…

Statistical Mechanics · Physics 2009-11-13 François Ladieu , Caroline Thibierge , Denis L'Hôte

Rigidity plays an important role on the relaxation properties of glass forming melts, yet it is usually determined from the average co-ordination number through the chemical composition. A discussion is presented on how viscoelasticity can…

Soft Condensed Matter · Physics 2019-06-06 J. Quetzalcoatl Toledo-Marin , Gerardo G. Naumis

We summarize studies of growing lengths in different aging systems. The article is structured as follows. We recall the definition of a number of observables, typically correlations and susceptibilities, that give access to dynamic and…

Statistical Mechanics · Physics 2010-10-04 Federico Corberi , Leticia F. Cugliandolo , Hajime Yoshino

We observe non-monotonic aging and memory effects, two hallmarks of glassy dynamics, in two disordered mechanical systems: crumpled thin sheets and elastic foams. Under fixed compression, both systems exhibit monotonic non-exponential…

Soft Condensed Matter · Physics 2017-04-14 Yoav Lahini , Omer Gottesman , Ariel Amir , Shmuel M. Rubinstein

The standard two-dimensional Ising spin glass does not exhibit an ordered phase at finite temperature. Here, we investigate whether long-range correlated bonds change this behavior. The bonds are drawn from a Gaussian distribution with a…

Disordered Systems and Neural Networks · Physics 2021-04-21 L. Münster , C. Norrenbrock , A. P. Young , A. K. Hartmann

The growth and microstructural properties of ternary monolayers of two-dimensional hexagonal materials are examined, including both individual two-dimensional crystalline grains and in-plane heterostructures, multijunctions, or…

Materials Science · Physics 2022-07-06 Zhi-Feng Huang

We investigate the connection between local structure and dynamical heterogeneity in supercooled liquids. Through the study of four different models we show that the correlation between a particle's mobility and the degree of local order in…

Statistical Mechanics · Physics 2014-10-20 Glen M. Hocky , Daniele Coslovich , Atsushi Ikeda , David R. Reichman

We analytically and numerically characterize the structure of hard-sphere fluids in order to review various geometrical frustration scenarios of the glass transition. We find generalized polytetrahedral order to be correlated with…

Statistical Mechanics · Physics 2013-01-07 Benoit Charbonneau , Patrick Charbonneau , Gilles Tarjus

Recent work has demonstrated the strong qualitative differences between the dynamics near a glass transition driven by short-ranged repulsion and one governed by short-ranged attraction. Here, we study in detail the behavior of non-linear,…

Statistical Mechanics · Physics 2010-04-16 P. Charbonneau , D. R. Reichman

The phenomenon of group motion is common in nature, ranging from the schools of fish, birds and insects, to avalanches, landslides and sand drift. If we treat objects as collectively moving particles, such phenomena can be studied from a…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Jian Sun , Jiasen Niu , Yifan Li , Yang Liu , L. N. Pfeiffer , K. W. West , Pengjie Wang , Xi Lin

We investigate how structural relaxation in mixtures with strong dynamical asymmetry is affected by the microscopic dynamics. Brownian and Newtonian dynamics simulations of dense mixtures of fast and slow hard spheres reveal a striking…

Soft Condensed Matter · Physics 2017-10-02 Suvendu Mandal , Thomas Franosch , Thomas Voigtmann

Glasses behave as solids due to their long relaxation time; however the origin of this slow response remains a puzzle. Growing dynamic length scales due to cooperative motion of particles are believed to be central to the understanding of…

Soft Condensed Matter · Physics 2012-10-17 Sara Jabbari-Farouji , Rojman Zargar , Gerard Wegdam , Daniel Bonn