scholarly journals Evaluation of initial decay rate of power-law decays for measuring random incident absorption.

1998 ◽  
Vol 19 (5) ◽  
pp. 315-326 ◽  
Author(s):  
Fukushi Kawakami
Keyword(s):  
Decay Rate ◽  
Power Law

CAN WE DIFFERENTIATE NEUTRINOS FROM ANTI-NEUTRINOS IN EVOLUTION OF MASSLESS DIRAC FIELDS IN SCHWARZSCHILD BLACK-HOLE BACKGROUND?

2006 ◽  
Vol 21 (07) ◽  
pp. 593-601
Author(s):  
JILIANG JING
Keyword(s):  
Black Hole ◽  
Decay Rate ◽  
Power Law ◽  
Quasinormal Modes ◽  
Tail Behavior ◽  
Schwarzschild Black Hole ◽  
Dirac Fields ◽  
Black Hole Background ◽  
Opposite Chirality

We study analytically the evolution of massless Dirac fields in the background of the Schwarzschild black hole. It is shown that although the quasinormal frequencies are the same for opposite chirality with the same |k|, we can differentiate neutrinos from anti-neutrinos in evolution of the massless Dirac fields provided we know both stages for the quasinormal modes and the power-law tail behavior since the decay rate of the neutrinos is described by t-(2|k|+1) while anti-neutrinos is t-(2|k|+3).

scholarly journals Temporal limits of the power law aftershock decay rate

2002 ◽  
Vol 107 (B12) ◽  
pp. ESE 12-1-ESE 12-14 ◽  
Author(s):  
C. Narteau ◽  
P. Shebalin ◽  
M. Holschneider
Keyword(s):  
Decay Rate ◽  
Power Law ◽  
Aftershock Decay Rate

scholarly journals Global solution to Cauchy problem of fractional drift diffusion system with power-law nonlinearity

2021 ◽  
Author(s):  
Caihong Gu ◽  
Yanbin Tang
Keyword(s):  
Cauchy Problem ◽  
Asymptotic Behavior ◽  
Decay Rate ◽  
Power Law ◽  
Mild Solutions ◽  
Diffusion System ◽  
Heat Semigroup ◽  
Drift Diffusion ◽  
Continuous Mappings ◽  
Time Space

In this paper we consider the global existence, regularizing-decay rate and asymptotic behavior of mild solutions to the Cauchy problem of fractional drift diffusion system with power-law nonlinearity. Using the properties of fractional heat semigroup and the classical estimates of fractional heat kernel, we first prove the global-in-time existence and uniqueness of the mild solutions in the frame of mixed time-space Besov space with multi-linear continuous mappings. Then we show the asymptotic behavior and regularizing-decay rate estimates of the solution to equations with power-law nonlinearity by the method of multi-linear operator and the classical Hardy-Littlewood-Sobolev inequality.

scholarly journals Loading rates in California inferred from aftershocks

2008 ◽  
Vol 15 (2) ◽  
pp. 245-263 ◽  
Author(s):  
C. Narteau ◽  
P. Shebalin ◽  
M. Holschneider
Keyword(s):  
Decay Rate ◽  
Power Law ◽  
Slip Rate ◽  
Rate Of Change ◽  
Static Fatigue ◽  
Stick Slip ◽  
Temporal Properties ◽  
Seismological Data ◽  
Slip Event ◽  
Aftershock Decay Rate

Abstract. We estimate the loading rate in southern California and the change in stress induced by a transient slip event across the San Andreas fault (SAF) system in central California, using a model of static fatigue. We analyze temporal properties of aftershocks in order to determine the time delay before the onset of the power law aftershock decay rate. In creep-slip and stick-slip zones, we show that the rate of change of this delay is related to seismic and aseismic deformation across the SAF system. Furthermore, we show that this rate of change is proportional to the deficit of slip rate along the SAF. This new relationship between geodetic and seismological data is in good agreement with predictions from a Limited Power Law model in which the evolution of the duration of a linear aftershock decay rate over short time results from variations in the load of the brittle upper crust.

Analysis of power law assumptions for short-period comets and Kuiper bodies

1999 ◽  
Vol 173 ◽  
pp. 289-293 ◽  
Author(s):  
J.R. Donnison ◽  
L.I. Pettit
Keyword(s):  
Power Law ◽  
Pareto Distribution ◽  
Limited Data ◽  
Short Period ◽  
Probability Plots ◽  
Exponential Probability

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.

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