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The Shintani-Tanaka model is a glass-forming system whose constituents interact via anisotropic potential depending on the angle of a unit vector carried by each particle. The decay of time-correlation functions of the unit vectors exhibits…

统计力学 · 物理学 2009-11-13 Edan Lerner , Itamar Procaccia , Ido Regev

Time-dependent response and correlation functions are studied in random quantum systems composed of infinitely many parts without mutual interaction and defined with statistically independent random matrices. The latter are taken within the…

统计力学 · 物理学 2025-12-17 Sudhir Ranjan Jain , Pierre Gaspard

We construct the equations for the growth kinetics of an aging structural glass within mode-coupling theory through a non-stationary variant of the 3-density correlator defined in Phys. Rev. Lett. {\bf 97}, 195701 (2006). We solve a…

软凝聚态物质 · 物理学 2021-08-24 Saroj Kumar Nandi , Sriram Ramaswamy

We study a highly supercooled two-dimensional fluid mixture via molecular dynamics simulation. We follow bond breakage events among particle pairs, which occur on the scale of the $\alpha$ relaxation time $\tau_{\alpha}$. Large scale…

软凝聚态物质 · 物理学 2015-06-25 Ryoichi Yamamoto , Akira Onuki

Supercooled liquids exhibit complicated dynamical behaviors: At the microscopic level, the dynamics is heterogeneous spatially, known as dynamic heterogeneity. At the macroscopic level, the shear viscosity $\eta$ decreases as shear rate…

软凝聚态物质 · 物理学 2025-09-01 Ke-Qi Zeng , Dong-Xu Yu , Zhe Wang

We consider the correlations and the hydrodynamic description of random walkers with a general finite memory moving on a $d$ dimensional hypercubic lattice. We derive a drift-diffusion equation and identify a memory-dependent critical…

统计力学 · 物理学 2020-01-29 Eial Teomy , Ralf Metzler

We present first elements of kinetic theory appropriate to the inhomogeneous phase of the HMF model. In particular, we investigate the case of strongly inhomogeneous distributions for $T\to 0$ and exhibit curious behaviour of the force…

统计力学 · 物理学 2009-11-11 P. H. Chavanis

Existence and growth of amorphous order in supercooled liquids approaching glass transition is a subject of intense research. Even after decades of work, there is still no clear consensus on the molecular mechanisms that lead to a rapid…

统计力学 · 物理学 2023-03-14 Rajsekhar Das , Saurish Chakrabarty , Smarajit Karmakar

By the concurrent use of two different resummation methods, the composite operator formalism and the Dyson-Schwinger equation, we re-examinate the behavior at finite temperature of the O(N)-symmetric $\lambda\phi^{4}$ model in a generic…

高能物理 - 理论 · 物理学 2009-10-31 G. N. J. Añaños , A. P. C. Malbouisson , N. F. Svaiter

Recent experiments and computer simulations show that supercooled liquids around the glass transition temperature are "dynamically heterogeneous" [1]. Such heterogeneity is expected from the random first order transition theory of the glass…

无序系统与神经网络 · 物理学 2009-10-31 Xiaoyu Xia , Peter G. Wolynes

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…

软凝聚态物质 · 物理学 2014-03-04 Alexandre Nicolas , Joerg Rottler , Jean-Louis Barrat

Self-consistent theory for concentrated electrolytes is developed. Oscillatory decay of the charge-charge correlation function with the decay length that shows perfect agreement with the experimentally discovered and so far unexplained…

软凝聚态物质 · 物理学 2021-08-11 A. Ciach , O. Patsahan

We derive the explicit expression for the four-point correlation function of stress-energy tensors in four-dimensional N=4 superconformal theory. We show that it has a remarkably simple and suggestive form allowing us to predict a large…

高能物理 - 理论 · 物理学 2016-01-27 G. P. Korchemsky , E. Sokatchev

The dynamic susceptibility $\chi_{Q}^{zz}(\omega)$ of the isotropic XY-model (s=1/2) on the alternating superlattice (closed chain) in a transverse field $h$ is obtained exactly at arbitrary temperatures. It is determined from the results…

统计力学 · 物理学 2007-05-23 J. P. de Lima , L. L. Goncalves

We present a derivation of a recently proposed theory for the time dependence of density fluctuations in stationary states of strongly interacting, athermal, self-propelled particles. The derivation consists of two steps. First, we start…

软凝聚态物质 · 物理学 2016-01-13 Grzegorz Szamel

We calculate the temperature dependence of the weak localization correction in a two dimensional system at arbitrary relation between temperature, $T$ and the elastic mean free time. We describe the crossover in the dephasing time…

无序系统与神经网络 · 物理学 2016-01-11 B. N. Narozhny , Gábor Zala , I. L. Aleiner

Advection of a passive scalar $\theta$ in $d=2$ by a large-scale velocity field rapidly changing in time is considered. The Gaussian feature of the passive scalar statistics in the convective interval was discovered in \cite{95CFKLa}. Here…

chao-dyn · 物理学 2008-02-03 E. Balkovsky , M. Chertkov , I. Kolokolov , V. Lebedev

We present an experimental study of density and order fluctuations in the vicinity of the solid-liquid-like transition that occurs in a vibrated quasi-two-dimensional granular system. The two-dimensional projected static and dynamic…

统计力学 · 物理学 2015-06-04 Gustavo Castillo , Nicolás Mujica , Rodrigo Soto

The far-from-equilibrium dynamics of glassy systems share important phenomenological traits. A transition is generally observed from a time-homogeneous dynamical regime to an aging regime where physical changes occur intermittently and, on…

软凝聚态物质 · 物理学 2015-03-13 S. Boettcher , P. Sibani

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…

统计力学 · 物理学 2014-10-20 Glen M. Hocky , Daniele Coslovich , Atsushi Ikeda , David R. Reichman