DIFFUSIONAL MODEL FOR NOISY ON–OFF INTERMITTENCY

1999 ◽  
Vol 09 (02) ◽  
pp. 355-359 ◽  
Author(s):  
A. ČENYS ◽  
J. ULBIKAS ◽  
A. N. ANAGNOSTOPOULOS ◽  
G. L. BLERIS
Keyword(s):  
Critical Point ◽  
Power Law ◽  
Statistical Properties ◽  
Exponential Law ◽  
Universal Distribution ◽  
Diffusional Model

Statistical properties of the laminar lengths for the noisy on–off intermittency are studied analytically. The universal distribution of the laminar phases is obtained at the critical point. It can be approximated by the power law with the exponent -3/2 and the exponential law describing fast falloff.

scholarly journals Statistical properties of magnetar bursts and FRB 121102

2019 ◽  
Vol 491 (1) ◽  
pp. 1498-1505 ◽  
Author(s):  
Yingjie Cheng ◽  
G Q Zhang ◽  
F Y Wang
Keyword(s):  
Power Law ◽  
Time Distribution ◽  
Statistical Properties ◽  
Occurrence Rate ◽  
Waiting Time Distribution ◽  
X Ray ◽  
Central Engine ◽  
Fast Radio Burst ◽  
Soft Gamma Repeater ◽  
Critical Process

ABSTRACT In this paper, we present statistics of soft gamma repeater (SGR) bursts from SGR J1550−5418, SGR 1806−20, and SGR 1900+14 by adding new bursts from Kırmızıbayrak et al. detected with the Rossi X-ray Timing Explorer. We find that the fluence distributions of magnetar bursts are well described by power-law functions with indices 1.84, 1.68, and 1.65 for SGR J1550−5418, SGR 1806−20, and SGR 1900+14, respectively. The duration distributions of magnetar bursts also show power-law forms. Meanwhile, the waiting time distribution can be described by a non-stationary Poisson process with an exponentially growing occurrence rate. These distributive features indicate that magnetar bursts can be regarded as a self-organizing critical process. We also compare these distributions with the repeating fast radio burst (FRB) 121102. The statistical properties of repeating FRB 121102 are similar with magnetar bursts, combining with the large required magnetic field (B ≥ 1014 G) of neutron star for FRB 121102, which indicates that the central engine of FRB 121102 may be a magnetar.

scholarly journals Derivation of Conservation Laws for the Magma Equation Using the Multiplier Method: Power Law and Exponential Law for Permeability and Viscosity

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
N. Mindu ◽  
D. P. Mason
Keyword(s):  
Conservation Laws ◽  
Power Law ◽  
Travelling Waves ◽  
Travelling Wave ◽  
Multiplier Method ◽  
Reduction Theorem ◽  
Double Reduction ◽  
Exponential Law ◽  
Spatial Derivatives ◽  
Derivatives Of

The derivation of conservation laws for the magma equation using the multiplier method for both the power law and exponential law relating the permeability and matrix viscosity to the voidage is considered. It is found that all known conserved vectors for the magma equation and the new conserved vectors for the exponential laws can be derived using multipliers which depend on the voidage and spatial derivatives of the voidage. It is also found that the conserved vectors are associated with the Lie point symmetry of the magma equation which generates travelling wave solutions which may explain by the double reduction theorem for associated Lie point symmetries why many of the known analytical solutions are travelling waves.

Photoluminescence and Electroluminescence in Partially Oxidized Porous Silicon

1994 ◽  
Vol 358 ◽  
Author(s):  
L. Tsybeskov ◽  
S. P. Duttagupta ◽  
P. M. Fauchet
Keyword(s):  
Activation Energy ◽  
Porous Silicon ◽  
Power Law ◽  
Current Density ◽  
Crystalline Silicon ◽  
Exponential Law ◽  
Current Voltage ◽  
Device Applications ◽  
Current Voltage Characteristics ◽  
Oxidized Porous Silicon

ABSTRACTThe results of photoluminescence (PL) and electroluminescence (EL) studies from partially oxidized porous silicon (POPS) layers are presented. The PL from POPS is stable, peaks at 600-570 nm and its temperature dependence can be fitted by an exponential law with an activation energy Ea « 10 meV. The current-voltage characteristics of Au-(POPS)-crystalline silicon (c-Si) structures follow a power law I = Vn. When the index n becomes higher than 3, electroluminescence (EL) is found. The EL peaks at 760 nm and is stable for more than 100 hours of operation. The intensity of the EL is a linear function of current for all measured structures up to current density J ≈ 1 A/cm2. Our results suggest that partially oxidized porous silicon is more useful for device applications than freshly anodized porous silicon which has unstable properties or than fully oxidized porous silicon in which transport is poor.

scholarly journals Use of mathematical laws for optimizing the dose of swollen and dry bentonite during the fining of white wines. Part II : influence on the volume of lies and economics

OENO One ◽  
2003 ◽  
Vol 37 (2) ◽  
pp. 123
Author(s):  
Richard Marchal ◽  
S. Weingartner ◽  
Philippe Jeandet ◽  
Franck Chatelain
Keyword(s):  
Power Law ◽  
White Wine ◽  
White Wines ◽  
Good Relationship ◽  
Exponential Law ◽  
Low Efficiency ◽  
The Cost ◽  
Higher Doses

<p style="text-align: justify;">A Sauvignon white wine was fined with a dry bentonite (BS), e.g directly incorporated in the wine without swelling treatment, or with the same bentonite swelled in water 24 hours before utilization (BG). The volumes of lees generated by the fining were situated between 0,27 and 1,51 % (v/v) for BS, and between 1,07 and 4,59 % (v/v) for BG. The relation between the quantity of bentonite introduced in the wine (g/hl) and the volume of lees (v/v) follows a power law. The volume of lees only increased by 70 % when the dose of swelled bentonite was doubled; for higher doses of bentonite (rarely used), one can observe a packing of the lees. For BS, lees were approximately twice more volumetric when the dose was doubled. We also observe very good relationship between the clarifying efficiency and the volume of lees. When the clarifying efficiency of BG increased by 10 % the volume of lees increased by 74 %. For BS, when the clarifying efficiency increased by 10 % the volume of lees increased by 86 % because of its low efficiency during clarification. The decrease of the natural proteic haze risk and the volume of lees generated by bentonite fining were also closely correlated by an exponential law. For BG, the mathematical law showed that when the volume of lees increased by 0,1 % (v/v), colloidal haze risk decreased only by 22 %. On the contrary, for BS, when the volume of lees increased by 0,1 %, proteic haze risk decreased by 44 %. Finally, the estimation of the cost of fining showed that the use of a non swelled bentonite was economically more interesting than the utilization of a swelled bentonite. This was true when this Sauvignon wine is sold both in bottle or in bulk. For the studied wine, the estimated winning was 115 euros for 10 hl sold in bulk.</p>

scholarly journals STATISTICAL PROPERTIES OF ONLINE AUCTIONS

2006 ◽  
Vol 17 (10) ◽  
pp. 1485-1493 ◽  
Author(s):  
ALIREZA NAMAZI ◽  
ANDREAS SCHADSCHNEIDER
Keyword(s):  
Power Law ◽  
Dynamic Properties ◽  
Online Auctions ◽  
Statistical Properties ◽  
Simple Method ◽  
Bidding Strategies ◽  
Shill Bidding ◽  
Observed Behavior

We characterize the statistical properties of a large number of online auctions run on eBay. Both stationary and dynamic properties, like distributions of prices, number of bids etc., as well as relations between these quantities are studied. The analysis of the data reveals surprisingly simple distributions and relations, typically of power-law form. Based on these findings we introduce a simple method to identify suspicious auctions that could be influenced by a form of fraud known as shill bidding. Furthermore the influence of bidding strategies is discussed. The results indicate that the observed behavior is related to a mixture of agents using a variety of strategies.

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