scholarly journals On the Steady State Correlation Functions of Open Interacting Systems

2014 ◽  
Vol 331 (1) ◽  
pp. 261-295 ◽  
Author(s):  
H. D. Cornean ◽  
V. Moldoveanu ◽  
C.-A. Pillet
Keyword(s):  
Steady State ◽  
Correlation Functions ◽  
State Correlation ◽  
Interacting Systems

scholarly journals Diffusion in generalized hydrodynamics and quasiparticle scattering

2019 ◽  
Vol 6 (4) ◽  
Author(s):  
Jacopo De Nardis ◽  
Denis Bernard ◽  
Benjamin Doyon
Keyword(s):  
Steady State ◽  
Correlation Functions ◽  
Spin Diffusion ◽  
Diffusion Constant ◽  
Hydrodynamic Theory ◽  
State Diffusion ◽  
Diffusive Dynamics ◽  
Interacting Systems ◽  
Quasiparticle Scattering ◽  
Definition Of

We extend beyond the Euler scales the hydrodynamic theory for quantum and classical integrable models developed in recent years, accounting for diffusive dynamics and local entropy production. We review how the diffusive scale can be reached via a gradient expansion of the expectation values of the conserved fields and how the coefficients of the expansion can be computed via integrated steady-state two-point correlation functions, emphasising that {\mathcal PT}𝒫T-symmetry can fully fix the inherent ambiguity in the definition of conserved fields at the diffusive scale. We develop a form factor expansion to compute such correlation functions and we show that, while the dynamics at the Euler scale is completely determined by the density of single quasiparticle excitations on top of the local steady state, diffusion is due to scattering processes among quasiparticles, which are only present in truly interacting systems. We then show that only two-quasiparticle scattering processes contribute to the diffusive dynamics. Finally we employ the theory to compute the exact spin diffusion constant of a gapped XXZ spin-1/2−1/2 chain at finite temperature and half-filling, where we show that spin transport is purely diffusive.

scholarly journals Hydrodynamic correlation functions of a driven granular fluid in steady state

2011 ◽  
Vol 83 (1) ◽  
Author(s):  
Katharina Vollmayr-Lee ◽  
Timo Aspelmeier ◽  
Annette Zippelius
Keyword(s):  
Steady State ◽  
Correlation Functions ◽  
Hydrodynamic Correlation ◽  
Granular Fluid

A Transient Buoyancy-Driven Convection Experiment for Surfaces in Air

1997 ◽  
Vol 25 (2) ◽  
pp. 92-102
Author(s):  
R. S. Mullisen
Keyword(s):  
Heat Transfer ◽  
Steady State ◽  
Copper Plate ◽  
Scale Analysis ◽  
Heat Transfer Correlation ◽  
Number Range ◽  
State Correlation ◽  
Buoyancy Driven Convection ◽  
Partial Vacuum ◽  
Recorded Temperature

A novel, transient experiment for buoyancy-driven convection from surfaces in air is described in this paper. The experiment is applied to a heated, vertical (37 mm high), copper plate which is allowed to cool in still air and in a partial vacuum. The recorded temperature histories are reduced using numerical methods. The result is an average emissivity of 0.42 and a heat transfer correlation of NuH = 1.59 RaH0.175 in the Rayleigh number range 31 300 to 242 500. A scale analysis shows that the transient heat transfer result may be compared with a steady-state correlation.

scholarly journals Applying Non-Steady-State Photo-Emf Technique to Detection of Higher Order Auto Correlation Functions of Ultrashort Optical Pulses

2012 ◽  
Vol 10 (2) ◽  
Author(s):  
P. Moreno Zarate ◽  
Alexandre S. Shcherbakov ◽  
Svetlana Mansurova
Keyword(s):  
Steady State ◽  
Correlation Functions ◽  
Higher Order ◽  
Optical Pulses ◽  
Detection Scheme ◽  
Advantages And Disadvantages ◽  
Ultrashort Optical Pulses ◽  
Auto Correlation ◽  
Emf Technique ◽  
Electro Motive Force

Here we examine a new application of the adaptive detectors based on non-steady-state photo-electro-motive force effect for the detection of higher order  correlation functions, aiming the estimation of the parameters of ultra short optical pulses arranged in high-repetition trains. For this purpose three beam interferometer scheme with two signal beams modulated at different frequencies is proposed. Theoretical analysis of non-steady-state photo-EMF current generated by light distribution formed by superposition of three waves is performed and the possibility to detect simultaneously second and higher order correlation  function is demonstrated.  Potential advantages and disadvantages of such detection scheme for measuring the higher order auto-correlations functions are discussed.

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