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We obtain an implicit equation for the correlation dimension of dynamical systems in terms of an integral over a propagator. We illustrate the utility of this approach by evaluating the correlation dimension for inertial particles suspended…

Fluid Dynamics · Physics 2015-05-14 Michael Wilkinson , Bernhard Mehlig , Kristian Gustavsson

Vorticity in two-dimensional superfluids is subject to intense research efforts due to its role in quantum turbulence, dissipation and the BKT phase transition. Interaction of sound and vortices is of broad importance in Bose-Einstein…

We present a simple exact formula for the three point velocity correlation functions in two dimensional turbulence which is valid on all scales and which interpolates between the direct and inverse cascade regimes. As expected, these…

chao-dyn · Physics 2023-04-10 Denis Bernard

We derive analytically the spatial correlation functions for gap fluctuations in two-band scenario with intra- and interband pair-transfer interactions. These functions demonstrate the changes in spatial functionality due to the presence of…

Superconductivity · Physics 2012-09-21 Artjom Vargunin , Teet Örd

Results are presented for a two-point correlation function of a spin-chain after a quantum quench for an intermediate time regime where inelastic effects are weak. A Callan-Symanzik like equation for the correlation function is explicitly…

Strongly Correlated Electrons · Physics 2015-06-15 Aditi Mitra

We present results from two 1536^3 direct numerical simulations of rotating turbulence where both energy and helicity are injected into the flow by an external forcing. The dual cascade of energy and helicity towards smaller scales observed…

Fluid Dynamics · Physics 2015-05-14 P. D. Mininni , A. Pouquet

The dynamics of two Brownian particles trapped by two neighboring harmonic potentials in a linear shear flow is investigated. The positional correlation functions in this system are calculated analytically and analyzed as a function of the…

Soft Condensed Matter · Physics 2010-09-08 Jochen Bammert , Lukas Holzer , Walter Zimmermann

In coherent control, electromagnetic vacuum fluctuations usually cause coherence loss through irreversible spontaneous emission. However, since the dissipation via emission is essentially due to correlation of the fluctuations, when…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Jing Wang , Ren-Bao Liu , B. -F. Zhu , L. J. Sham , D. G. Steel

In an attempt to determine the outer scale of turbulence driven by localized sources, such as supernova explosions in the interstellar medium, we consider a forcing function given by the gradient of gaussian profiles localized at random…

Astrophysics · Physics 2007-05-23 Antony J. Mee , Axel Brandenburg

We predict the existence of spatial-spectral vortex solitons in one-dimensional periodic waveguide arrays with quadratic nonlinear response. In such vortices the energy flow forms a closed loop through the simultaneous effects of phase…

Optics · Physics 2015-05-13 Zhiyong Xu , Andrey A. Sukhorukov

We show that any generic non-adiabatic slow flow of ideal compressible fluid develops a significant vorticity. As an example, an initially irrotational conductive cooling flow is considered. A perturbation theory for the vorticity…

Fluid Dynamics · Physics 2009-10-30 Ami Glasner , Eli Livne , Baruch Meerson

The non-equilibrium fluctuations of power flux in a fluidized granular media have been recently measured in an experiment [Phys. Rev. Lett. 92, 164301, 2004], which was announced to be a verification of the Fluctuation Relation (FR) by…

Statistical Mechanics · Physics 2007-05-23 A. Puglisi , P. Visco , A. Barrat , E. Trizac , F. van Wijland

We report experiments on gravity-capillary wave turbulence on the surface of a fluid. The wave amplitudes are measured simultaneously in time and space using an optical method. The full space-time power spectrum shows that the wave energy…

Fluid Dynamics · Physics 2010-10-01 Eric Herbert , Nicolas Mordant , Eric Falcon

We investigate the locality of interactions in hydrodynamic turbulence using data from a direct numerical simulation on a grid of 1024^3 points; the flow is forced with the Taylor-Green vortex. An inertial range for the energy is obtained…

Fluid Dynamics · Physics 2009-11-11 A. Alexakis , P. D. Mininni , A. Pouquet

We study the spatio-temporal dynamics of a model of polar active fluid in two dimensions. The system exhibits a transition from an isotropic to a polarized state as a function of density. The uniform polarized state is, however, unstable…

Soft Condensed Matter · Physics 2011-12-08 Luca Giomi , M. Cristina Marchetti

The flow in a cylinder driven by time harmonic oscillations of the rotation rate, called longitudinal librations, is investigated. Using a theoretical approach and axisymmetric numerical simulations, we study two distinct phenomena…

Fluid Dynamics · Physics 2012-02-21 Alban Sauret , David Cébron , Michael Le Bars , Stéphane Le Dizès

In two dimensions a microscopic theory providing a basis for the naive analogy between a quantized vortex in a superfluid and an electron in a uniform magnetic field is presented. Following the variational approach developed by Peierls,…

Condensed Matter · Physics 2007-05-23 Jian-Ming Tang

Generation of the large-scale coherent vortical structurs in homogeneous shear flow couples dynamical processes of energy and enstrophy production. In the large rate of strain limit, the simple estimates of the contributions to the energy…

Chaotic Dynamics · Physics 2009-11-07 Victor Yakhot

Nonreciprocal supercurrent refers to the phenomenon where the maximum dissipationless current in a superconductor depends on its direction of flow. This asymmetry underlies the operation of superconducting diodes and is often associated…

Casimir physics covers a wealth of phenomena where forces between macroscopic objects are induced by long range fluctuations of either classical or quantum origin. Fluctuations of the quantum electrodynamic vacuum epitomize this type of…

Mesoscale and Nanoscale Physics · Physics 2020-04-15 Ariane Soret , Karyn Le Hur , Eric Akkermans
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