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Local diffusion coefficients in disordered systems such as spin glass systems and living cells are highly heterogeneous and may change over time. Such a time-dependent and spatially heterogeneous environment results in irreproducibility of…

统计力学 · 物理学 2016-12-21 Takuma Akimoto , Eiji Yamamoto

We calculate the self diffusion coefficients $D_S$ for the species $s=1,2$ of a mixture, and show that a general scaling relation $D_2{\sim}D_1^a$ with a non universal exponent $a$ holds. The generalized diffusion coefficients, dependent on…

软凝聚态物质 · 物理学 2018-09-26 Neeta Bidhoodi , Shankar P. Das

We study the Brownian motion of a classical particle in one-dimensional inhomogeneous environments where the transition probabilities follow quasiperiodic or aperiodic distributions. Exploiting an exact correspondence with the…

统计力学 · 物理学 2009-10-31 F. Igloi , L. Turban , H. Rieger

We study fluctuations of an ensemble of $N$ independent particles undergoing anomalous diffusion with random renewal resetting. The anomalous diffusion is modeled by the scaled Brownian motion (sBm): a Gaussian process, characterized by a…

统计力学 · 物理学 2026-03-17 Ohad Vilk , Baruch Meerson

We present first measurements of the pseudorapidity and azimuth $(\eta,\phi)$ bin-size dependence of event-wise mean transverse momentum $<p_{t} >$ fluctuations for Au-Au collisions at $\sqrt{s_{NN}} = 200$ GeV. We invert that dependence to…

核实验 · 物理学 2009-06-25 STAR Collaboration , J. Adams

Although time-dependent random media with short range correlations lead to (possibly biased) normal tracer diffusion, anomalous fluctuations occur away from the most probable direction. This was pointed out recently in 1D lattice random…

无序系统与神经网络 · 物理学 2017-07-19 Pierre Le Doussal , Thimothée Thiery

We consider a scalar field governed by an advection-diffusion equation (or a more general evolution equation) with rapidly fluctuating, Gaussian distributed random coefficients. In the white noise limit, we derive the closed evolution…

偏微分方程分析 · 数学 2022-02-24 Jared C. Bronski , Lingyun Ding , Richard M. McLaughlin

The stochastic motion of a particle with long-range correlated increments (the moving phase) which is intermittently interrupted by immobilizations (the traping phase) in a disordered medium is considered in the presence of an external…

统计力学 · 物理学 2023-08-31 Yingjie Liang , Wei Wang , Ralf Metzler

We study entanglement growth in a harmonic oscillator chain subjected to the weak measurement of observables which have been smeared-out over a length scale $R$. We find that entanglement grows diffusively ($S \sim t^{1/2}$) for a large…

量子物理 · 物理学 2024-03-08 Thomas Young , Dimitri M. Gangardt , Curt von Keyserlingk

Single particle tracking has become a standard tool to investigate diffusive properties, especially in small systems such as biological cells. Usually the resulting time series are analyzed in terms of time averages over individual…

统计力学 · 物理学 2015-06-04 Jae-Hyung Jeon , Ralf Metzler

We study the dynamical aspects of the top rank statistics of particles, performing Brownian motions on a half-line, which are ranked by their distance from the origin. For this purpose, we introduce an observable that we call the overlap…

统计力学 · 物理学 2026-03-24 Zdzislaw Burda , Mario Kieburg

Subdiffusive transport in tilted washboard potentials is studied within the fractional Fokker-Planck equation approach, using the associated continuous time random walk (CTRW) framework. The scaled subvelocity is shown to obey a universal…

统计力学 · 物理学 2009-07-01 I. M. Sokolov , E. Heinsalu , P. Hanggi , I. Goychuk

We study the long-time tails of the survival probability $P(t)$ of an $A$ particle diffusing in $d$-dimensional media in the presence of a concentration $\rho$ of traps $B$ that move sub-diffusively, such that the mean square displacement…

统计力学 · 物理学 2009-11-13 S. B. Yuste , G. Oshanin , K. Lindenberg , O. Benichou , J. Klafter

We investigate the centrality dependence of the pT-correlations in the event-by-event analysis of relativistic heavy-ion collisions at RHIC made recently by the PHENIX and STAR Collaborations. We notice that sigma^2 dynamical scales to a…

核理论 · 物理学 2008-11-26 Wojciech Broniowski , Piotr Bozek , Wojciech Florkowski , Brigitte Hiller

We study the spatial fluctuations of transient creep deformation of materials as a function of time, both by Digital Image Correlation (DIC) measurements of paper samples and by numerical simulations of a crystal plasticity or discrete…

材料科学 · 物理学 2015-05-28 Lasse Laurson , Jari Rosti , Juha Koivisto , Amandine Miksic , Mikko J. Alava

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

This paper studies large deviations of a ``fully coupled" finite state mean-field interacting particle system in a fast varying environment. The empirical measure of the particles evolves in the slow time scale and the random environment…

概率论 · 数学 2021-06-24 Sarath Yasodharan , Rajesh Sundaresan

The one-dimensional random trap model with a power-law distribution of mean sojourn times exhibits a phenomenon of dynamical localization in the case where diffusion is anomalous: The probability to find two independent walkers at the same…

数据分析、统计与概率 · 物理学 2015-03-03 Franziska Flegel , Igor M. Sokolov

The L\'evy walk model is a stochastic framework of enhanced diffusion with many applications in physics and biology. Here we investigate the time averaged mean squared displacement $\bar{\delta^2}$ often used to analyze single particle…

统计力学 · 物理学 2014-06-03 Daniela Froemberg , Eli Barkai

The problem of a diffusing particle moving among diffusing traps is analyzed in general space dimension d. We consider the case where the traps are initially randomly distributed in space, with uniform density rho, and derive upper and…

统计力学 · 物理学 2009-11-07 R. A. Blythe , A. J. Bray