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We perform a time-dependent study of the driven dynamics of overdamped particles which are placed in a one-dimensional, piecewise linear random potential. This set-up of spatially quenched disorder then exerts a dichotomous varying random…

统计力学 · 物理学 2016-08-14 S. I. Denisov , M. Kostur , E. S. Denisova , P. Hänggi

Quantum coherences are paramount resources for applications, such as quantum-enhanced light-harvesting or quantum computing, which are fragile against environmental noise. We here derive generalized quantum master equations using…

量子物理 · 物理学 2020-09-03 Chahan M. Kropf

We numerically study the evolution of the vibrational density of states $D(\omega)$ of zero-temperature glasses when their kinetic stability is varied over an extremely broad range, ranging from poorly annealed glasses obtained by…

软凝聚态物质 · 物理学 2019-01-08 Lijin Wang , Andrea Ninarello , Pengfei Guan , Ludovic Berthier , Grzegorz Szamel , Elijah Flenner

We study a one-dimensional system of spatially extended particles, which are fixated to regularly spaced locations by means of elastic springs. The particles are assumed to be driven by a Gaussian noise and to have dissipative,…

统计力学 · 物理学 2014-04-30 Roman Mani , Lucas Böttcher , Hans J. Herrmann , Dirk Helbing

Quenched or frozen-in structural disorder is ubiquitous in real experimental systems. Much of the progress is achieved in understanding the phase separation of such systems using the diffusion-driven coarsening in Ising model with quenched…

软凝聚态物质 · 物理学 2023-08-15 Rounak Bhattacharyya , Bhaskar Sen Gupta

Presented here is a study of well-posedness and asymptotic stability of a "degenerately damped" PDE modeling a vibrating elastic string. The coefficient of the damping may vanish at small amplitudes thus weakening the effect of the…

Normal modes provide a fundamental basis for understanding crucial properties of solids, such as the thermal conductivity, the heat capacity and the sound propagation. While the normal modes are excellently described by plane waves in…

软凝聚态物质 · 物理学 2011-04-04 Peng Tan , Ning Xu , A. B. Schofield , Lei Xu

The boson peak is a characteristic anomaly of amorphous solids broadly defined as a low-energy excess in the density of states and heat capacity compared to the textbook predictions of Debye theory. The origin of this anomaly has long been…

The vibrational anomalies of glasses, in particular the boson peak, are addressed from the standpoint of heterogeneous elasticity, namely the spatial fluctuations of elastic constants caused by the structural disorder of the amorphous…

无序系统与神经网络 · 物理学 2020-09-15 Walter Schirmacher , Giancarlo Ruocco

Evolutions of quantum noise, characterized by quadrature squeezing parameter and Fano factor, and of mixedness, quantified by quantum von Neumann and linear entropies, of a pumped dissipative non-linear oscillator are studied. The model can…

量子物理 · 物理学 2016-09-08 Jiri Bajer , Adam Miranowicz , Mateusz Andrzejewski

We consider a model problem of the scattering of linear acoustic waves in free homogeneous space by an elastic solid. The stress tensor in the solid combines the effect of a linear dependence of strains with the influence of an existing…

数值分析 · 数学 2018-04-23 Thomas S. Brown , Tonatiuh Sánchez-Vizuet , Francisco-Javier Sayas

The effect of quenched (frozen) orientational disorder on the collective motion of active particles is analyzed. We find that, as with annealed disorder (Langevin noise), active polar systems are far more robust against quenched disorder…

统计力学 · 物理学 2018-12-19 John Toner , Nicholas Guttenberg , Yuhai Tu

We examine the state of statistical equilibrium attained by a uniformly forced condensable substance subjected to advection in a periodic domain. In particular, we examine the probability density function (\pdf{}) of the condensable…

斑图形成与孤子 · 物理学 2007-05-23 Jai Sukhatme , Raymond T. Pierrehumbert

The origin of boson peak -- an excess of density of states over Debye's model in glassy solids -- is still under intense debate, among which some theories and experiments suggest that boson peak is related to van-Hove singularity. Here we…

We investigate by means of computer simulations the effect of structural disorder on the statistics of cracking for a thin layer of material under uniform and isotropic drying. The layer is discretized into a triangular lattice of springs.…

统计力学 · 物理学 2011-10-13 Gabriel Villalobos , Ferenc Kun , José D. Muñoz

Mean field approximation treats only coherent aspects of the evolution of a Bose Einstein condensate. However, in many experiments some atoms scatter out of the condensate. We study an analytic model of two counter-propagating atomic…

其他凝聚态物理 · 物理学 2009-11-10 P. Zin , J. Chwedenczuk , A. Perez , K. Rzazewski , M. Trippenbach

We study the effect of quenched spatial disorder on the steady states of driven systems of interacting particles. Two sorts of models are studied: disordered drop-push processes and their generalizations, and the disordered asymmetric…

统计力学 · 物理学 2009-10-30 Goutam Tripathy , Mustansir Barma

We consider the overdamped dynamics of a paradigmatic long-range system of particles residing on the sites of a one-dimensional lattice, in the presence of thermal noise. The internal degree of freedom of each particle is a periodic…

统计力学 · 物理学 2013-12-03 Shamik Gupta , Alessandro Campa , Stefano Ruffo

We determine the asymptotic relaxation rate of a Brownian particle in a harmonic potential perturbed by quenched Gaussian disorder, a simplified model for rugged energy landscapes in complex systems. Depending on the properties of the…

统计力学 · 物理学 2025-02-28 Jan Meibohm , Sabine H. L. Klapp

Sound attenuation in low temperature amorphous solids originates from their disordered structure. However, its detailed mechanism is still being debated. Here we analyze sound attenuation starting directly from the microscopic equations of…

无序系统与神经网络 · 物理学 2022-04-27 Grzegorz Szamel , Elijah Flenner