scholarly journals Local Scale Invariance and Strongly Anisotropic Equilibrium Critical Systems

1997 ◽  
Vol 78 (10) ◽  
pp. 1940-1943 ◽  
Author(s):  
Malte Henkel
Keyword(s):  
Scale Invariance ◽  
Local Scale ◽  
Critical Systems

scholarly journals Oscillations in critical shearing, application to fractures in glaciers

2006 ◽  
Vol 13 (6) ◽  
pp. 681-693 ◽  
Author(s):  
A. Pralong
Keyword(s):  
Power Law ◽  
Fracture Zone ◽  
Scale Invariance ◽  
Damage Model ◽  
Periodic Oscillation ◽  
Continuum Damage ◽  
Critical Systems ◽  
Periodic Oscillations ◽  
Invariance Properties ◽  
Discrete Scale

Abstract. Many evidences of oscillations accompanying the acceleration of critical systems have been reported. These oscillations are usually related to discrete scale invariance properties of the systems and exhibit a logarithmic periodicity. In this paper we propose another explanation for these oscillations in the case of shearing fracture. Using a continuum damage model, we show that oscillations emerge from the anisotropic properties of the cracks in the shearing fracture zone. These oscillations no longer exhibit a logarithmic but rather a power-law periodicity. The power-periodic oscillation is a more general formulation. Its reduces to a log-periodic oscillation when the exponent of the power-law equals one. We apply this model to fit the measured displacements of unstable ice masses of hanging glaciers for which data are available. Results show that power-periodic oscillations adequately fit the observations.

Progress in metric-affine gauge theories of gravity with local scale invariance

1989 ◽  
Vol 19 (9) ◽  
pp. 1075-1100 ◽  
Author(s):  
Friedrich W. Hehl ◽  
J. Dermott McCrea ◽  
Eckehard W. Mielke ◽  
Yuval Ne'eman
Keyword(s):  
Scale Invariance ◽  
Gauge Theories ◽  
Local Scale ◽  
Theories Of Gravity
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