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The four-time correlation function of a general dynamical variable obeying Gaussian statistics is calculated for the trap model with a Gaussian density of states. It is argued that for energy-independent variables this function is…

Statistical Mechanics · Physics 2015-06-11 Gregor Diezemann

We investigate the impact of noise on a two-dimensional simple paradigmatic piecewise-smooth dynamical system. For that purpose we consider the motion of a particle subjected to dry friction and coloured noise. The finite correlation time…

Statistical Mechanics · Physics 2017-06-14 Paul M. Geffert , Wolfram Just

We investigate the effects of the interaction between time-inhomogeneous damping, non-local diffusion, and noise on classical solutions to the Camassa--Holm equations that incorporate these additional factors. Initially, a local-in-time…

Analysis of PDEs · Mathematics 2024-10-11 Diego Alonso-Orán , Peter H. C. Pang , Hao Tang

We report experimental measurements of the second-order coherence function $g^{(2)}(\tau)$ of the light emitted by a laser-driven dense ensemble of $^{87}$Rb atoms. We observe a clear departure from the Siegert relation valid for Gaussian…

We study the effects of time and space correlations of an external additive colored noise on the steady-state behavior of a Time-Dependent Ginzburg-Landau model. Simulations show the existence of nonequilibrium phase transitions controlled…

Condensed Matter · Physics 2009-10-22 Jordi Garcia-Ojalvo , Jose M. Sancho

Mollow physics in the two-photon regime shows interesting features such as path-controlled time-reordering of photon pairs without the need to delay them. Here, we calculate analytically the two-photon correlations $ g^{(2)}(\tau)$,…

Quantum Physics · Physics 2019-02-13 Alexander Carmele , Samir Bounouar , Max Strauß , Stephan Reitzenstein , Andreas Knorr

The separability of bipartite non-Gaussian states is studied by applying the realignment criterion with the technique of functional analysis. The realignment criterion is given as one inequality in contrast to the infinitive number of…

Quantum Physics · Physics 2014-02-05 Xiao-yu Chen , Li-zhen Jiang , Ping Yu , Mingzhen Tian

Cooperative effects of periodic force and noise in globally Cooperative effects of periodic force and noise in globally coupled systems are studied using a nonlinear diffusion equation for the number density. The amplitude of the order…

Chaotic Dynamics · Physics 2009-11-07 Hidetsugu Sakaguchi

We comprehensively study non-equilibrium relaxation and aging processes in the two-dimensional random-site Ising model through numerical simulations. We discuss the dynamical correlation length as well as scaling functions of various…

Statistical Mechanics · Physics 2010-10-11 Hyunhang Park , Michel Pleimling

It has been recently found that a number of systems displaying crackling noise also show a remarkable behavior regarding the temporal occurrence of successive events versus their size: a scaling law for the probability distributions of…

Statistical Mechanics · Physics 2009-11-13 Alvaro Corral

We propose here a stochastic binary element whose transition rate depends on its state at a fixed interval in the past. With this delayed stochastic transition this is one of the simplest dynamical models under the influence of ``noise''…

Statistical Mechanics · Physics 2009-10-31 Toru Ohira , Yuzuru Sato

Preliminary femtoscopic results on identical pions from high statistics data set of Au+Au collisions at sqrt{s_NN}=200 GeV taken during the fourth RHIC run are presented. The measured three-dimensional correlation function is studied at low…

Nuclear Experiment · Physics 2009-11-11 M. Bystersky

We study the large deviations of the distribution P(W_\tau) of the work associated with the propulsion of individual active brownian particles in a time interval \tau, in the region of the phase diagram where macroscopic phase separation…

Statistical Mechanics · Physics 2020-05-19 P. Chiarantoni , F. Cagnetta , F. Corberi , G. Gonnella , A. Suma

We use fluctuating hydrodynamics to analyze the dynamical properties in the non-equilibrium steady state of a diffusive system coupled with reservoirs. We derive the two-time correlations of the density and of the current in the…

Statistical Mechanics · Physics 2016-11-23 Tridib Sadhu , Bernard Derrida

We consider two different proposals to generate a time series with the same non-Poisson distribution of waiting times, to which we refer to as renewal and modulation. We show that, in spite of the apparent statistical equivalence, the two…

Statistical Mechanics · Physics 2009-11-11 Paolo Allegrini , Francesco Barbi , Paolo Grigolini , Paolo Paradisi

Non-identical two particle correlation functions probe asymmetries between the average space-time emission points of different particle species. The system collective expansion would produce such asymmetry because massive particles, such as…

Nuclear Experiment · Physics 2019-08-14 F. Retiere

Expressions for correlation functions of classical non-isothermal two-component plasma are derived. In the limiting case of $\Theta_e\gg\Theta_i$ strong correlations arise due to the existence of weakly damping waves (ionic sound), whose…

Plasma Physics · Physics 2022-03-18 Emile S. Medvedev

The crossover among two or more types of diffusive processes represents a vibrant theme in nonequilibrium statistical physics. In this work we propose two models to generate crossovers among different L\'evy processes: in the first model we…

Statistical Mechanics · Physics 2020-09-15 Maike A. F. dos Santos , Fernando D. Nobre , Evaldo M. F. Curado

Asymptotic energy-distortion performance of zero-delay communication scenarios under additive white Gaussian noise is investigated. Using high-resolution analysis for quantizer design, the higher-order term in the logarithm of the…

Information Theory · Computer Science 2018-01-01 Ceren Sevinç , Ertem Tuncel

Impact of noise in coupled oscillators with pairwise interactions has been extensively explored. Here, we study stochastic second-order coupled Kuramoto oscillators with higher-order interactions, and show that as noise strength increases…

Adaptation and Self-Organizing Systems · Physics 2024-07-23 Priyanka Rajwani , Sarika Jalan
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