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The relation between the autocorrelation $C(t,t_w)$ and the integrated linear response function $\chi(t,t_w)$ is studied in the context of the large-N model for phase-ordering systems subjected to a shear flow. In the high temperature phase…

Statistical Mechanics · Physics 2009-11-07 F. Corberi , G. Gonnella , E. Lippiello , M. Zannetti

The local, uncorrelated multiplicative noises driving a second-order, purely noise-induced, ordering phase transition (NIPT) were assumed to be Gaussian and white in the model of [Phys. Rev. Lett. \textbf{73}, 3395 (1994)]. The potential…

Statistical Mechanics · Physics 2016-08-14 Roberto R. Deza , Horacio S. Wio , Miguel A. Fuentes

Working within the Nonequilibrium Green's Function (NEGF) formalism, a formula for the two-time current correlation function is derived for the case of transport through a nanojunction in response to an arbitrary time-dependent bias. The…

Mesoscale and Nanoscale Physics · Physics 2017-05-03 Michael Ridley , Angus MacKinnon , Lev Kantorovich

We consider an overdamped Brownian particle moving in a confining asymptotically logarithmic potential, which supports a normalized Boltzmann equilibrium density. We derive analytical expressions for the two-time correlation function and…

Statistical Mechanics · Physics 2012-05-21 A. Dechant , E. Lutz , D. A. Kessler , E. Barkai

A two dimensional self-gravitating Hamiltonian model made by $N$ fully-coupled classical particles exhibits a transition from a collapsing phase (CP) at low energy to a homogeneous phase (HP) at high energy. From a dynamical point of view,…

Statistical Mechanics · Physics 2016-08-31 Mickael Antoni , Alessandro Torcini

In this paper, we consider the problem of estimating the covariation of two diffusion processes when observations are subject to non-synchronicity. Building on recent papers \cite{Hay-Yos03, Hay-Yos04}, we derive second-order asymptotic…

Statistics Theory · Mathematics 2012-02-15 Arnak Dalalyan , Nakahiro Yoshida

Filtered Poisson processes are often used as reference models for intermittent fluc- tuations in physical systems. Such a process is here extended by adding a noise term, either as a purely additive term to the process or as a dynamical…

Data Analysis, Statistics and Probability · Physics 2018-05-04 Audun Theodorsen , Odd Erik Garcia , Martin Rypdal

A pressure-driven two-layer channel flow of a Newtonian fluid with constant viscosity (top layer) and a fluid with a time-dependent viscosity (bottom layer) is numerically investigated. The bottom layer goes through an aging process in…

Fluid Dynamics · Physics 2021-06-22 Kirti Chandra Sahu

Behavior of two-time autocorrelation during the phase separation in solid binary mixtures are studied via numerical solutions of the Cahn-Hilliard equation as well as Monte Carlo simulations of the Ising model. Results are analyzed via…

Statistical Mechanics · Physics 2015-09-02 Jiarul Midya , Suman Majumder , Subir K. Das

A systematic analysis of the structure of single-baryon correlation functions calculated with lattice QCD is performed, with a particular focus on characterizing the structure of the noise associated with quantum fluctuations. The…

High Energy Physics - Lattice · Physics 2017-12-27 Michael L. Wagman , Martin J. Savage

Local scale-invariance for ageing systems without detailed balance is tested through studying the dynamical symmetries of the critical bosonic contact process and the critical bosonic pair-contact process.Their field-theoretical actions can…

Statistical Mechanics · Physics 2009-11-11 Florian Baumann , Stoimen Stoimenov , Malte Henkel

A generalized version of the nonequilibrium linear Glauber model with $q$ states in $d$ dimensions is introduced and analyzed. The model is fully symmetric, its dynamics being invariant under all permutations of the $q$ states. Exact…

Statistical Mechanics · Physics 2010-07-27 M. O. Hase , T. Tomé , M. J. de Oliveira

We study the motion of a one-dimensional particle which reverses its direction of acceleration stochastically. We focus on two contrasting scenarios, where the waiting-times between two consecutive acceleration reversals are drawn from (i)…

Statistical Mechanics · Physics 2023-08-22 Ion Santra , Durgesh Ajgaonkar , Urna Basu

The distortion of the regular motion in a quantum system by its coupling to the continuum of decay channels is investigated. The regular motion is described by means of a Poissonian ensemble. We focus on the case of only few channels K<10.…

chao-dyn · Physics 2009-10-30 T. Gorin , F. --M. Dittes , M. Müller , I. Rotter , T. H. Seligman

We study the statistical properties of overdamped particles driven by two cross-correlated multiplicative Gaussian white noises in a time-dependent environment. Using the Langevin and Fokker-Planck approaches, we derive the exact…

Statistical Mechanics · Physics 2016-08-16 S. I. Denisov , A. N. Vitrenko , W. Horsthemke , P. Hänggi

We show that in driven systems the Gaussian nature of the fluctuating force and time-reversibility are equivalent properties. This result together with the potential condition of the external force drastically restricts the form of the…

Statistical Mechanics · Physics 2007-06-11 M. H. Vainstein , J. M. Rubi

This letter adresses the challenging problems posed to the Kubo-Anderson (KA) theory by the discovery of intermittent resonant fluorescence with a non-exponential distribution of waiting times. We show how to extend the KA theory from aged…

Other Condensed Matter · Physics 2016-08-31 Gerardo Aquino , Luigi Palatella , Paolo Grigolini

We study the dynamics of the spin and cavity field of the Tavis-Cummings model using quasi-probability distribution functions and second order coherence function, respectively. The effects of (non)-Markovian noise are considered. The…

Quantum Physics · Physics 2023-06-29 Devvrat Tiwari , Subhashish Banerjee

The Wiener-Khinchin theorem shows how the power spectrum of a stationary random signal $I(t)$ is related to its correlation function $\left\langle I(t)I(t+\tau)\right\rangle$. We consider non-stationary processes with the widely observed…

Statistical Mechanics · Physics 2015-09-02 N. Leibovich , E. Barkai

An extension and generalization of a recently presented approach for the analysis of Langevin-type stochastic processes in the presence of strong measurement noise is presented. For a stochastic process in N dimensions which is superimposed…

Data Analysis, Statistics and Probability · Physics 2012-10-23 B. Lehle
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