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We present a mode-coupling theory for the dynamics of a tagged particle in a driven granular fluid close to the glass transition. The mean-squared displacement is shown to exhibit a plateau indicating structural arrest. In contrast to…

统计力学 · 物理学 2012-11-20 Matthias Sperl , Wolf Till Kranz , Annette Zippelius

We quantitatively study the interaction between diffusion and mixing in both the continuous, and discrete time setting. In discrete time, we consider a mixing dynamical system interposed with diffusion. In continuous time, we consider the…

偏微分方程分析 · 数学 2019-05-22 Yuanyuan Feng , Gautam Iyer

Dielectric spectra (10^4-10^11 Hz) of water and ice at 0 {\deg}C are considered in terms of proton conductivity and compared to each other. In this picture, the Debye relaxations, centered at 1/{\tau}_W ~ 20 GHz (in water) and 1/{\tau}_I ~…

软凝聚态物质 · 物理学 2020-05-19 V. G. Artemov , A. A. Volkov

We study a kinetically constrained lattice glass model in which continuous local densities are randomly redistributed on neighbouring sites with a kinetic constraint that inhibits the process at high densities, and a random bias accounting…

无序系统与神经网络 · 物理学 2007-05-23 Eric Bertin , Jean-Philippe Bouchaud , Francois Lequeux

The clearing up of a wave nature of the energy and mass transfer phenomena in classical expressions of the molecular-kinetic theory has allowed to find a quantitative measure of intensity of processes of a thermal conductivity, viscosity…

流体动力学 · 物理学 2007-05-23 S. L. Arsenjev , I. B. Lozovitski , Y. P. Sirik

We consider a tracer particle on a lattice in the presence of immobile obstacles. Starting from equilibrium, a force pulling on the particle is switched on, driving the system to a new stationary state. We solve for the complete transient…

软凝聚态物质 · 物理学 2017-01-04 Sebastian Leitmann , Thomas Franosch

Constrained diffusions in convex polyhedral domains with a general oblique reflection field, and with a diffusion coefficient scaled by a small parameter, are considered. Using an interior Dirichlet heat kernel lower bound estimate for…

概率论 · 数学 2013-08-19 Amarjit Budhiraja , Zhen-Qing Chen

We consider discrete and continuous representations of a thermodynamic process in which a random walker (e.g. a molecular motor on a molecular track) uses a periodically pumped energy (work) to pass $N$ sites and move energetically downhill…

统计力学 · 物理学 2023-08-17 Henning Kirchberg , Abraham Nitzan

The mean kinetic energy of protons in water is determined by Deep Inelastic Neutron Scattering experiments, performed above and below the temperature of maximum density and in the supercooled phase. The temperature dependence of this energy…

软凝聚态物质 · 物理学 2015-05-13 Davide Flammini , Fabio Bruni , Maria Antonietta Ricci

We study diffusion processes of local fluctuations of heat, energy, momentum, and mass in three paradigmatic one-dimensional systems. For each system, diffusion processes of four physical quantities are simulated and the cross correlations…

统计力学 · 物理学 2013-03-28 Shunda Chen , Yong Zhang , Jiao Wang , Hong Zhao

We analyze the collective surface diffusion coefficient, $D_c$, near a first-order phase transition at which two phases coexist and the surface coverage, $\te$, drops from one single-phase value, $\te_+$, to the other one, $\te_-$. Contrary…

统计力学 · 物理学 2015-06-04 Igor Medved' , Anton Trnik

The dynamics of dislocations can be formulated in terms of the evolution of continuous variables representing dislocation densities ('continuum dislocation dynamics'). We show for various variants of this approach that the resulting models…

材料科学 · 物理学 2024-10-23 Yufan Zhang , Ronghai Wu , Michael Zaiser

A stochastic differential equation that describes the dynamics of single-domain magnetic particles at any temperature is derived using a classical formalism. The deterministic terms recover existing theory and the stochastic process takes…

介观与纳米尺度物理 · 物理学 2015-10-28 Michail Tzoufras , Gregory J. Parker , Michael K. Grobis

The heat capacity of supercooled water, measured down to -37 {\deg}C, shows an anomalous increase as temperature decreases. The thermal diffusivity, i. e., the ratio of the thermal conductivity and the heat capacity per unit volume, shows a…

统计力学 · 物理学 2014-08-22 John W. Biddle , Vincent Holten , Jan V. Sengers , Mikhail A. Anisimov

We consider the diffusion and spreading of chainlike molecules on solid surfaces. We first show that the steep spherical cap shape density profiles, observed in some submonolayer experiments on spreading polymer films, imply that the…

软凝聚态物质 · 物理学 2009-10-31 T. Hjelt , S. Herminghaus , T. Ala-Nissila , S. C. Ying

The theories of Brownian motion, the Debye rotational diffusion model, and hydrodynamics together provide us with the Stokes--Einstein--Debye (SED) relation between the rotational relaxation time of the $\ell$-th degree Legendre polynomials…

软凝聚态物质 · 物理学 2019-06-03 Takeshi Kawasaki , Kang Kim

In this work, the short-time dynamics of simple liquid is explored both analytically and numerically with the focus on the interplay between the density fluctuations in a volume surrounding a chosen particle and its random walk motion. The…

统计力学 · 物理学 2019-06-26 Eugene B. Postnikov

We investigate the dynamics of overdamped $D$-dimensional systems of particles repulsively interacting through short-ranged power-law potentials, $V(r)\sim r^{-\lambda}\;(\lambda/D>1)$. We show that such systems obey a non-linear diffusion…

Dipolar fluids are known to exhibit complex self-assembly at low temperatures, yet a compact thermodynamic description of their aggregate statistics has remained elusive. Using molecular dynamics simulations of Stockmayer particles with a…

化学物理 · 物理学 2026-04-23 Zhongqi Liang , Jesús Peréz-Ríos

We study the role of active coupling on the transport properties of homogeneously charged macromolecules in an infinitely dilute solution. An enzyme becomes actively bound to a segment of the macromolecule, exerting an electrostatic force…

软凝聚态物质 · 物理学 2024-05-24 Tapas Singha , Siao-Fong Li , Murugappan Muthukumar
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