LONG-TIME TAILS OF TIME CORRELATION FUNCTIONS FOR AN IONIC MIXTURE IN A MAGNETIC FIELD AND THE VALIDITY OF MAGNETO-HYDRODYNAMICS

Author(s):  
L.G. SUTTORP
2000 ◽  
Vol 12 (07) ◽  
pp. 921-944 ◽  
Author(s):  
JOHAN ANDRIES ◽  
FABIO BENATTI ◽  
MIEKE De COCK ◽  
MARK FANNES

In this paper, we consider the long time asymptotics of multi-time correlation functions for quantum dynamical systems that are sufficiently random to relax to a reference state. In particular, the evolution of such systems must have a continuous spectrum. Special attention is paid to general dynamical clustering conditions and their consequences for the structure of fluctuations of temporal averages. This approach is applied to the so-called Powers–Price shifts.


1972 ◽  
Vol 27 (5) ◽  
pp. 721-732 ◽  
Author(s):  
A. G. St. Pierre ◽  
W. E. Köhler ◽  
S. Hess

Abstract Time correlation functions for gases of linear molecules in a static homogeneous magnetic field are derived from the set of transport relaxation equations obtained from the linearized Waldmann-Snider equation. In particular, the complex auto-and cross correlation functions of the friction pressure tensor and the tensor polarization are considered. They are of importance for the viscosity, the depolarized Rayleigh spectrum, and flow birefringence. For the gases HD and CO2 their real and imaginary parts are plotted as functions of a reduced time and discussed. Lastly, the influence of a constant magnetic field on the flow birefringence property of a gas of linear molecules in a Couette flow arrangement is treated. The principal axes of the dielectric tensor are rotated about the field direction. For two field orientations the respective angles of rotation are determined. The eigenvalues of the dielectric tensor reveal the tendency of the optical and transport properties of the gas to decouple for increasing field strengths


2005 ◽  
Vol 48 (2) ◽  
pp. 233-242 ◽  
Author(s):  
L. Feligioni ◽  
O. Panella ◽  
Y. N. Srivastava ◽  
A. Widom

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