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We investigate the validity of a zeroth thermodynamic law for non-equilibrium systems. In order to describe the thermodynamics of the glassy systems, it has been introduced an extra parameter, the effective temperature which generalizes the…

无序系统与神经网络 · 物理学 2009-11-07 Adan Garriga

The condition of thermal equilibrium simplifies the theoretical treatment of fluctuations as found in the celebrated Einstein's relation between mobility and diffusivity for Brownian motion. Several recent theories relax the hypothesis of…

统计力学 · 物理学 2014-04-10 Andrea Gnoli , Andrea Puglisi , Alessandro Sarracino , Angelo Vulpiani

The emergence of nanoscience has increased the importance of experiments able to probe the very local structure of materials, especially for disordered and heterogeneous systems. This is technologically important; for example, the nanoscale…

软凝聚态物质 · 物理学 2015-05-13 R. Casalini , C. M. Roland

We examine the question of whether the formal expressions of equilibrium statistical mechanics can be applied to time independent non-dissipative systems that are not in true thermodynamic equilibrium and are nonergodic. By assuming the…

统计力学 · 物理学 2007-11-09 Stephen R. Williams , Denis J. Evans

We study the relation between short-time vibrational modes and long-time relaxational dynamics in a kinetically constrained lattice gas with harmonic interactions between neighbouring particles. We find a correlation between the location of…

统计力学 · 物理学 2014-03-14 Douglas J. Ashton , Juan P. Garrahan

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these…

软凝聚态物质 · 物理学 2013-01-24 Nicolas Desreumaux , Jean-Baptiste Caussin , Raphael Jeanneret , Eric Lauga , Denis Bartolo

The autocorrelation function of pattern fluctuation is used to study soft-mode turbulence (SMT), a spatiotemporal chaos observed in homeotropic nematics. We show that relaxation near the electroconvection threshold deviates from the…

软凝聚态物质 · 物理学 2012-03-27 Fahrudin Nugroho , Takayuki Narumi , Yoshiki Hidaka , Junichi Yoshitani , Masaru Suzuki , Shoichi Kai

Using the Langevin approach and the multiscale technique, a kinetic theory of the time and space nonlocal fluctuations in the collisional plasma is constructed. In local equilibrium a generalized version of the Callen-Welton theorem is…

等离子体物理 · 物理学 2007-05-23 V. Belyi

We define a correlation function that quantifies the spatial correlation of single-particle displacements in liquids and amorphous materials. We show for an equilibrium liquid that this function is related to fluctuations in a bulk…

软凝聚态物质 · 物理学 2009-10-31 Claudio Donati , Sharon C. Glotzer , Peter H. Poole

Entropy and the fluctuation-dissipation theorem are at the heart of statistical mechanics near equilibrium. Driving a system beyond the linear response regime leads to (i) the breakdown of the fluctuation-dissipation theorem and (ii) a…

统计力学 · 物理学 2010-09-10 Thomas Speck

We study a large deviation functional of density fluctuation by analyzing stochastic non-linear diffusion equations driven by the difference between the densities fixed at the boundaries. By using a fundamental equality that yields the…

统计力学 · 物理学 2009-11-13 Shin-ichi Sasa

A mass ejection model in a time-dependent random environment with both temporal and spatial correlations is introduced. When the environment has a finite correlation length, individual particle trajectories are found to diffuse at large…

混沌动力学 · 物理学 2012-03-28 Giorgio Krstulovic , Rehab Bitane , Jeremie Bec

We discuss the spatiotemporal behavior of local density and its relation to dynamical heterogeneity in a highly supercooled liquid by using molecular dynamics simulations of a binary mixture with different particle sizes in two dimensions.…

软凝聚态物质 · 物理学 2015-03-20 Hayato Shiba , Takeshi Kawasaki

Elucidating the nature of the glass transition has been the holy grail of condensed matter physics and statistical mechanics for several decades. A phenomenological aspect that makes glass formation a conceptually formidable problem is that…

软凝聚态物质 · 物理学 2016-08-11 Shreyas Gokhale , K. Hima Nagamanasa , A. K. Sood , Rajesh Ganapathy

Theoretical studies of nearly spherical vesicles and microemulsion droplets, that present typical examples for thermally-excited systems that are subject to constraints, are reviewed. We consider the shape fluctuations of such systems…

软凝聚态物质 · 物理学 2021-04-28 Nicholay S. Tonchev

In this article we discuss several aspects of the stochastic dynamics of spin models. The paper has two independent parts. Firstly, we explore a few properties of the multi-point correlations and responses of generic systems evolving in…

统计力学 · 物理学 2009-11-10 Guilhem Semerjian , Leticia F. Cugliandolo , Andrea Montanari

Fluctuation theorems are a generalization of thermodynamics on small scales and provide the tools to characterize the fluctuations of thermodynamic quantities in non-equilibrium nanoscale systems. They are particularly important for…

统计力学 · 物理学 2014-04-03 Jan Gieseler , Romain Quidant , Christoph Dellago , Lukas Novotny

Local stresses and pressures always exist in glasses. In this letter we consider their effects on the structure and structural correlations in simple glasses. We find that extreme values of local pressures are related to well defined local…

凝聚态物理 · 物理学 2016-08-31 Tamar Kustanovich , Zeev Olami

A kinetic model for the elasto-plastic dynamics of a flowing jammed material is proposed, which takes the form of a non-local -- Boltzmann-like -- kinetic equation for the stress distribution function. Coarse-graining this equation yields a…

软凝聚态物质 · 物理学 2015-05-13 Lyderic Bocquet , Annie Colin , Armand Ajdari

We study space-time fluctuations of a hard sphere system at thermal equilibrium, and prove that the covariance converges to the solution of a linearized Boltzmann equation in the low density limit, globally in time. This result has been…

偏微分方程分析 · 数学 2022-12-09 Corentin Le Bihan