Statistical properties of two-dimensional periodic Lorentz gas with infinite horizon

1992 ◽  
Vol 66 (1-2) ◽  
pp. 315-373 ◽  
Author(s):  
P. M. Bleher
Keyword(s):  
Infinite Horizon ◽  
Lorentz Gas ◽  
Statistical Properties ◽  
Two Dimensional ◽  
Periodic Lorentz Gas

scholarly journals Kinetic transport in the two-dimensional periodic Lorentz gas

Nonlinearity ◽  
2008 ◽  
Vol 21 (7) ◽  
pp. 1413-1422 ◽  
Author(s):  
Jens Marklof ◽  
Andreas Strömbergsson
Keyword(s):  
Lorentz Gas ◽  
Two Dimensional ◽  
Periodic Lorentz Gas

Statistical properties of Rayleigh waves due to scattering by topography

1967 ◽  
Vol 57 (1) ◽  
pp. 83-90
Author(s):  
J. A. Hudson ◽  
L. Knopoff
Keyword(s):  
Surface Waves ◽  
Rayleigh Waves ◽  
Seismic Noise ◽  
Forward Scattering ◽  
Statistical Properties ◽  
Body Waves ◽  
Simplified Model ◽  
Two Dimensional ◽  
Especial Reference ◽  
The Earth

abstract The two-dimensional problems of the scattering of harmonic body waves and Rayleigh waves by topographic irregularities in the surface of a simplified model of the earth are considered with especial reference to the processes of P-R, SV-R and R-R scattering. The topography is assumed to have certain statistical properties; the scattered surface waves also have describable statistical properties. The results obtained show that the maximum scattered seismic noise is in the range of wavelengths of the order of the lateral dimensions of the topography. The process SV-R is maximized over a broader band of wavelengths than the process P-R and thus the former may be more difficult to remove by selective filtering. An investigation of the process R-R shows that backscattering is much more important than forward scattering and hence topography beyond the array must be taken into account.

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