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We calculate time correlation functions in the Bak-Sneppen model (Phys. Rev. Lett. {\bf 71} 4083 (1993)), a model showing self-organised criticality. For a random neighbour version of the model, analytical results are presented, while on a…

凝聚态物理 · 物理学 2009-10-28 F. Daerden , C. Vanderzande

Starting from the developed generalized point process model of $1/f$ noise (B. Kaulakys et al, Phys. Rev. E 71 (2005) 051105; cond-mat/0504025) we derive the nonlinear stochastic differential equations for the signal exhibiting 1/f^{\beta}$…

统计力学 · 物理学 2009-11-11 Bronislovas Kaulakys , Julius Ruseckas , Vygintas Gontis , Miglius Alaburda

The origin of the low-frequency noise with power spectrum $1/f^\beta$ (also known as $1/f$ fluctuations or flicker noise) remains a challenge. Recently, the nonlinear stochastic differential equations for modeling $1/f^\beta$ noise have…

数据分析、统计与概率 · 物理学 2016-01-20 B. Kaulakys , M. Alaburda , J. Ruseckas

We consider a class of nonlinear stochastic differential equations, giving the power-law behavior of the power spectral density in any desirably wide range of frequency. Such equations were obtained starting from the point process models of…

适应与自组织系统 · 物理学 2015-05-18 J. Ruseckas , B. Kaulakys

A nonuniform system is considered consisting of two phases with different densities of particles. At each given time the distribution of the phases in space is chaotic: each phase filling a set of regions with random shapes and locations. A…

统计力学 · 物理学 2015-06-25 V. I. Yukalov , E. P. Yukalova

Noise correlations are studied for systems of hard-core bosons in one-dimensional lattices. We use an exact numerical approach based on the Bose-Fermi mapping and properties of Slater determinants. We focus on the scaling of the noise…

量子气体 · 物理学 2011-02-22 Kai He , Marcos Rigol

A system composed of two-level systems interacting with a single excitation of a one-dimensional boson field with continuous spectrum, described by a Friedrichs (or Friedrichs-Lee) model, can exhibit bound states and resonances; the latter…

数学物理 · 物理学 2022-04-25 Davide Lonigro

Scattering mechanisms in graphene are critical to understanding the limits of signal-to-noise-ratios of unsuspended graphene devices. Here we present the four-probe low frequency noise (1/f) characteristics in back-gated single layer…

介观与纳米尺度物理 · 物理学 2010-08-05 Guangyu Xu , Carlos M. Torres , Yuegang Zhang , Fei Liu , Emil B. Song , Minsheng Wang , Yi Zhou , Caifu Zeng , Kang L. Wang

Many superconducting materials are composed of weakly coupled conducting layers. Such a layered structure has a very strong influence on the properties of vortex matter in a magnetic field. This review focuses on the properties of the…

超导电性 · 物理学 2013-09-04 Alexei E. Koshelev , Matthew J. W. Dodgson

Recently we have shown that slow relaxations in the electron glass system can be understood in terms of the spectrum of a matrix describing the relaxation of the system close to a metastable state. The model focused on the electron glass…

无序系统与神经网络 · 物理学 2015-05-14 Ariel Amir , Yuval Oreg , Yoseph Imry

Using the well-known Olami-Feder-Christensen model as our paradigm, we show how to modify uniform driven self-organized critical models to generate $1/f^\alpha$ noise. Our model can reproduce all the main features of $1/f^\alpha$ noise: (1)…

统计力学 · 物理学 2009-10-31 Jörn Davidsen , Heinz Georg Schuster

This is a pedagogical review of the ubiquitous 1/f^\alpha noises. The sections include the representation of 1/f^\alpha noise as a superposition of many relaxation processes; a discussion of the infinitely large fluctuations in the low…

经典物理 · 物理学 2007-05-23 Edoardo Milotti

$1/f^\alpha$ noises are ubiquitous and affect many measurements. These noises are both a nuisance and a peculiarity of several physical systems; in dielectrics, glasses and networked liquids it is very common to study this noise to gather…

数据分析、统计与概率 · 物理学 2007-05-23 Edoardo Milotti

Low-frequency noise with the spectral density S(f)~1/f^g (f is the frequency and g~1) is a ubiquitous phenomenon, which hampers operation of many devices and circuits. A long-standing question of particular importance for electronics is…

介观与纳米尺度物理 · 物理学 2015-06-12 Guanxiong Liu , Sergey Rumyantsev , Michael S. Shur , Alexander A. Balandin

The object of the present article is a 1d lattice-gas system comprised of soft-particles, wherein particles interact only if they occupy the same or a neighboring site, as a simple representation of penetrable particles of soft condensed…

软凝聚态物质 · 物理学 2018-12-21 Derek Frydel , Yan Levin

The magnetic flux noise induced by vortices in thin superconducting films is studied. Rigid vortices in thin films as well as pancake vortices in the pancake gas regime are addressed. The vortex dynamics is described by a Feynman path…

超导电性 · 物理学 2007-05-23 K. Langfeld , D. Doenitz , R. Kleiner , D. Koelle

We present a simple point process model of $1/f^{\beta}$ noise, covering different values of the exponent $\beta$. The signal of the model consists of pulses or events. The interpulse, interevent, interarrival, recurrence or waiting times…

统计力学 · 物理学 2016-08-31 B. Kaulakys , V. Gontis , M. Alaburda

Interest in understanding the interplay between noise and the response of a non-linear device cuts across disciplinary boundaries. It is as relevant for unmasking the dynamics of neurons in noisy environments as it is for designing reliable…

生物物理 · 物理学 2011-05-16 Cameron Sobie , Arif Babul , Rogerio de Sousa

We consider one component lattice gases with a local dynamics and a stationary product Bernoulli measure. We give upper and lower bounds on the diffusivity at an equilibrium point depending on the dimension and the local behavior of the…

概率论 · 数学 2015-06-12 Jeremy Quastel , Benedek Valkó

The collective behavior of a two-dimensional wet granular cluster under horizontal swirling motions is investigated experimentally. Depending on the balance between the energy injection and dissipation, the cluster evolves into various…

软凝聚态物质 · 物理学 2015-09-30 Kai Huang
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