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We show that a scaling approach successfully characterizes clustering and intermittency in space and time, in systems of noninteracting particles driven by fluctuating surfaces. We study both the steady state and the approach to it, for…

软凝聚态物质 · 物理学 2019-01-15 Tapas Singha , Mustansir Barma

We study two kinetically constrained models in a quenched random environment. The first model is a mixed threshold Fredrickson-Andersen model on $\mathbb{Z}^{2}$, where the update threshold is either $1$ or $2$. The second is a mixture of…

概率论 · 数学 2020-06-17 Assaf Shapira

By means of molecular dynamics, we study a model system for colloidal suspensions where the interaction is based on a competition between attraction and repulsion. At low temperatures the relaxation time $\tau$ first increases as a power…

软凝聚态物质 · 物理学 2009-11-10 A. de Candia , E. Del Gado , A. Fierro , N. Sator , A. Coniglio

There is a certain consensus that the very fast growth of the relaxation time $\tau$ occurring in glass-forming liquids on lowering the temperature must be due to the thermally activated rearrangement of correlated regions of growing size.…

无序系统与神经网络 · 物理学 2009-11-19 Chiara Cammarota , Andrea Cavagna , Giacomo Gradenigo , Tomas S. Grigera , Paolo Verrocchio

The eigenvalues and eigenvectors of the matrix of coefficients of the linearized kinetic equations applied to aggregation in surfactant solution determine the full spectrum of characteristic times and specific modes of micellar relaxation.…

软凝聚态物质 · 物理学 2015-06-19 Ilya A. Babintsev , Loran Ts. Adzhemyan , Alexander K. Shchekin

The Fredrickson-Andersen one spin facilitated model belongs to the class of Kinetically Constrained Spin Models. It is a non attractive process with positive spectral gap. In this paper we give a precise result on the relaxation for this…

概率论 · 数学 2021-11-23 Anatole Ertul

Stretched exponential relaxation ($\exp{-(t/\tau)}^{\beta_K}$) is observed in a large variety of systems but has not been explained so far. Studying random walks on percolation clusters in curved spaces whose dimensions range from 2 to 7,…

无序系统与神经网络 · 物理学 2009-10-31 Philippe Jund , Remi Jullien , Ian Campbell

The physics of active systems of self-propelled particles, in the regime of a dense liquid state, is an open puzzle of great current interest, both for statistical physics and because such systems appear in many biological contexts. We…

软凝聚态物质 · 物理学 2017-10-26 Saroj Kumar Nandi , Nir S. Gov

We establish sufficient conditions for the quick relaxation to kinetic equilibrium in the classic Vicsek-Cucker-Smale model of bird flocking. The convergence time is polynomial in the number of birds as long as the number of flocks remains…

多智能体系统 · 计算机科学 2022-07-04 Bernard Chazelle , Kritkorn Karntikoon

The relaxation dynamics of zero range process (ZRP) has always been an interesting problem. In this study, we set up the relationship between ZRP and traps model, and investigate the slow dynamics of ZRP in the framework of traps model.…

统计力学 · 物理学 2015-06-04 Kai Qi , Ming Tang , Aixiang Cui , Yan Fu

A knowledge of the particle escape time from the acceleration regions of many space and astrophysical sources is of critical importance in the analysis of emission signatures produced by these particles and in the determination of the…

高能天体物理现象 · 物理学 2018-11-28 Frederic Effenberger , Vahé Petrosian

When relaxation towards an equilibrium or steady state is exponential at large times, one usually considers that the associated relaxation time $\tau$, i.e., the inverse of that decay rate, is the longest characteristic time in the system.…

分子网络 · 定量生物学 2015-08-17 Adrien Henry , Olivier Martin

We study a schematic mode-coupling model in which the ideal glass transition is cut off by a decay of the quadratic coupling constant in the memory function. (Such a decay, on a time scale tau_I, has been suggested as the likely consequence…

统计力学 · 物理学 2007-05-23 M. J. Greenall , M. E. Cates

We use molecular dynamics computer simulations to study the relaxation dynamics of a viscous melt of silica. The coherent and incoherent intermediate scattering functions, F_d(q,t) and F_s(q,t), show a crossover from a nearly exponential…

统计力学 · 物理学 2009-11-07 Jurgen Horbach , Walter Kob

We address a recent conjecture according to which the relaxation time $\tau$ of a viscous liquid obeys density scaling ($\tau=F(\rho^\gamma/T)$ where $\rho$ is density) if the liquid is ``strongly correlating,'' i.e., has almost 100%…

软凝聚态物质 · 物理学 2012-03-27 Thomas B. Schrøder , Ulf R. Pedersen , Jeppe C. Dyre

We have exactly solved the relaxational dynamics of a model protein which possesses a kinetically perfect funnel-like energy landscape. We find that the dependence of the relaxation time, $\tau$, on the density of states (DOS) and the…

统计力学 · 物理学 2009-10-31 Maxim Skorobogatyy , Hong Guo , Martin Zuckermann

We investigate via Monte Carlo simulations the kinetically constrained Kob-Andersen lattice glass model showing that, contrary to current expectations, the relaxation process and the dynamical heterogeneities seems to be characterized by…

软凝聚态物质 · 物理学 2014-05-26 Raffaele Pastore , Massimo Pica Ciamarra , Antonio Coniglio

We investigate correlation time numerically in extremal self-organized critical models, namely, the Bak-Sneppen evolution and the Robin Hood dynamics. The (fitness) correlation time is the duration required for the extinction or mutation of…

统计力学 · 物理学 2025-01-08 Rahul Chhimpa , Abha Singh , Avinash Chand Yadav

The steady state reached by a system of particles sliding down a fluctuating surface has interesting properties. Particle clusters form and break rapidly, leading to a broad distribution of sizes and large fluctuations. The density-density…

统计力学 · 物理学 2015-05-13 Apoorva Nagar , Mustansir Barma

With molecular dynamics simulations of a fluid mixture of classical particles interacting with pair-wise additive Weeks-Chandler-Andersen potentials, we consider the time series of particle displacements and thereby determine distributions…

统计力学 · 物理学 2011-11-10 Lester O. Hedges , Lutz Maibaum , David Chandler , Juan P. Garrahan