Power law attenuation of shear waves in fractal media

2018 ◽  
Vol 143 (3) ◽  
pp. 1802-1802
Author(s):  
Sverre Holm ◽  
Ralph Sinkus
Keyword(s):  
2019 ◽  
Vol 145 (3) ◽  
pp. 1861-1861
Author(s):  
Steven A. Grosz ◽  
Rebeca Pereira ◽  
Matthew W. Urban ◽  
Robert McGough

2016 ◽  
Vol 140 (4) ◽  
pp. 3327-3327
Author(s):  
John M. Cormack ◽  
Mark F. Hamilton

Author(s):  
Steven A. Grosz ◽  
Rebeca Pereira ◽  
Nicholas A. Bannon ◽  
Matthew W. Urban ◽  
Robert J. McGough
Keyword(s):  

2013 ◽  
Vol 27 (09) ◽  
pp. 1330005 ◽  
Author(s):  
VASILY E. TARASOV

Fractional dynamics is a field of study in physics and mechanics investigating the behavior of objects and systems that are characterized by power-law nonlocality, power-law long-term memory or fractal properties by using integrations and differentiation of non-integer orders, i.e., by methods in the fractional calculus. This paper is a review of physical models that look very promising for future development of fractional dynamics. We suggest a short introduction to fractional calculus as a theory of integration and differentiation of noninteger order. Some applications of integro-differentiations of fractional orders in physics are discussed. Models of discrete systems with memory, lattice with long-range inter-particle interaction, dynamics of fractal media are presented. Quantum analogs of fractional derivatives and model of open nano-system systems with memory are also discussed.


2017 ◽  
Vol 20 (12) ◽  
pp. 1071-1086 ◽  
Author(s):  
Ming-Qing Kui ◽  
Xiao-Hua Tan ◽  
Xiao-Ping Li ◽  
Jianchao Cai

1999 ◽  
Vol 173 ◽  
pp. 289-293 ◽  
Author(s):  
J.R. Donnison ◽  
L.I. Pettit

AbstractA Pareto distribution was used to model the magnitude data for short-period comets up to 1988. It was found using exponential probability plots that the brightness did not vary with period and that the cut-off point previously adopted can be supported statistically. Examination of the diameters of Trans-Neptunian bodies showed that a power law does not adequately fit the limited data available.


1968 ◽  
Vol 11 (1) ◽  
pp. 169-178 ◽  
Author(s):  
Alan Gill ◽  
Charles I. Berlin

The unconditioned GSR’s elicited by tones of 60, 70, 80, and 90 dB SPL were largest in the mouse in the ranges around 10,000 Hz. The growth of response magnitude with intensity followed a power law (10 .17 to 10 .22 , depending upon frequency) and suggested that the unconditioned GSR magnitude assessed overall subjective magnitude of tones to the mouse in an orderly fashion. It is suggested that hearing sensitivity as assessed by these means may be closely related to the spectral content of the mouse’s vocalization as well as to the number of critically sensitive single units in the mouse’s VIIIth nerve.


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