scholarly journals Optimization of Thick Film Resistors for Low Drift

1980 ◽  
Vol 7 (1-3) ◽  
pp. 87-91 ◽  
Author(s):  
Gunnar Björklund ◽  
Lars Linde
Keyword(s):  
Theoretical Model ◽  
Thick Film ◽  
Transition Zone ◽  
Experimental Results ◽  
Film Resistor ◽  
Theoretical Predictions ◽  
Thick Film Resistor ◽  
Theoretical Results ◽  
Low Drift ◽  
Good Agreement

In order to minimize drift in a thick film resistor both printing and trimming parameters have to be optimized carefully.With the aid of a linear theoretical model it is shown how the resistance drift in the bulk transition zone and terminals of the resistor can be calculated for both trimmed and untrimmed resistors.The theoretical results are used for optimization of laser trimmed high ohmic resistors. The experimental results are in good agreement with the theoretical predictions and confirm that thick film resistors can be optimized for low drift.

scholarly journals The κ-statistics approach to epidemiology

2020 ◽  
Author(s):  
Giorgio Kaniadakis ◽  
Mauro M. Baldi ◽  
Thomas S. Deisboeck ◽  
Giulia Grisolia ◽  
Dionissios T. Hristopulos ◽  
...  
Keyword(s):  
Theoretical Model ◽  
Statistical Approach ◽  
Weibull Model ◽  
Distribution Functions ◽  
Statistical Distributions ◽  
Systematic Analysis ◽  
Epidemiological Analysis ◽  
Theoretical Predictions ◽  
Theoretical Results ◽  
Good Agreement

Abstract A great variety of complex physical, natural and artificial systems are governed by statistical distributions, which often follow a standard exponential function in the bulk, while their tail obeys the Pareto power law. The recently introduced κ-statistics framework predicts distribution functions with this feature. A growing number of applications in different fields of investigation are beginning to prove the relevance and effectiveness of κ-statistics in fitting empirical data. In this paper, we use κ-statistics to formulate a statistical approach for epidemiological analysis. We validate the theoretical results by fitting the derived κ-Weibull distributions with data from the plague pandemic of 1417 in Florence as well as data from the COVID-19 pandemic in China over the entire cycle that concludes in April 16, 2020. As further validation of the proposed approach we present a more systematic analysis of COVID-19 data from countries such as Germany, Italy, Spain and United Kingdom, obtaining very good agreement between theoretical predictions and empirical observations. For these countries we also study the entire first cycle of the pandemic which extends until the end of July 2020. The fact that both the data of the Florence plague and those of the Covid-19 pandemic are successfully described by the same theoretical model, even though the two events are caused by different diseases and they are separated by more than 600 years, is evidence that the κ-Weibull model has universal features.

scholarly journals Theory of efficient shell implosions

1989 ◽  
Vol 7 (2) ◽  
pp. 189-205 ◽  
Author(s):  
Masakatsu Murakami ◽  
Katsunobu Nishihara ◽  
Hideaki Takabe
Keyword(s):  
Theoretical Model ◽  
Neutron Yield ◽  
Mass Density ◽  
Coupling Efficiency ◽  
Experimental Results ◽  
Moderate Intensity ◽  
Ion Temperature ◽  
Hollow Shell ◽  
Theoretical Predictions ◽  
Good Agreement

A theoretical model of spherical ablative implosion is presented. The implosion performances such as the target coupling efficiency are estimated from the aspect ratio and initial mass density of a target shell, provided the laser is fixed at moderate intensity for a given wavelength. The model is applied to the experimental results obtained for both plastic hollow shell targets and DT gas-filled GMB targets by use of the twelve-beam green GEKKO XII laser. In addition to the target coupling efficiency, it is shown for the gas-filled targets that the theoretical predictions of neutron yield, ion temperature, and fuel ρ and ρR are in good agreement with the experimental results. Reduction of neutron yields due to irradiation nonuniformity is also discussed, and 5% of absorption nonuniformity is found to be required for explaining the discrepancies in neutron yield between the experiments and the theory.

scholarly journals The κ-statistics approach to epidemiology

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Giorgio Kaniadakis ◽  
Mauro M. Baldi ◽  
Thomas S. Deisboeck ◽  
Giulia Grisolia ◽  
Dionissios T. Hristopulos ◽  
...  
Keyword(s):  
Theoretical Model ◽  
Statistical Approach ◽  
Weibull Model ◽  
Distribution Functions ◽  
Statistical Distributions ◽  
Systematic Analysis ◽  
Epidemiological Analysis ◽  
Theoretical Predictions ◽  
Theoretical Results ◽  
Good Agreement

AbstractA great variety of complex physical, natural and artificial systems are governed by statistical distributions, which often follow a standard exponential function in the bulk, while their tail obeys the Pareto power law. The recently introduced $$\kappa $$ κ -statistics framework predicts distribution functions with this feature. A growing number of applications in different fields of investigation are beginning to prove the relevance and effectiveness of $$\kappa $$ κ -statistics in fitting empirical data. In this paper, we use $$\kappa $$ κ -statistics to formulate a statistical approach for epidemiological analysis. We validate the theoretical results by fitting the derived $$\kappa $$ κ -Weibull distributions with data from the plague pandemic of 1417 in Florence as well as data from the COVID-19 pandemic in China over the entire cycle that concludes in April 16, 2020. As further validation of the proposed approach we present a more systematic analysis of COVID-19 data from countries such as Germany, Italy, Spain and United Kingdom, obtaining very good agreement between theoretical predictions and empirical observations. For these countries we also study the entire first cycle of the pandemic which extends until the end of July 2020. The fact that both the data of the Florence plague and those of the Covid-19 pandemic are successfully described by the same theoretical model, even though the two events are caused by different diseases and they are separated by more than 600 years, is evidence that the $$\kappa $$ κ -Weibull model has universal features.

Thermal Expansion and Laser Trim Stability of Ruthenium Based Thick Film Resistors on Alumina and on Multilayer Dielectric

1982 ◽  
Vol 1 (1) ◽  
pp. 24-27 ◽  
Author(s):  
I. Taitl
Keyword(s):  
Thermal Expansion ◽  
Thick Film ◽  
Chemical Structure ◽  
Coefficient Of Thermal Expansion ◽  
Ruthenium Dioxide ◽  
Theoretical Conclusion ◽  
Film Resistor ◽  
Thick Film Resistor ◽  
The Relationship ◽  
Multilayer Dielectric

Fired resistors exhibit variations which are minimised by abrasive and laser trimming. The latter may cause unstable behaviour which is further aggravated by thermal shock. The chemical structure of a thick film resistor is analysed with respect to mechanical stress, and the theoretical conclusion that the coefficient of thermal expansion of the resistor should be equal to or smaller than that of the substrate is verified experimentally. The thermal behaviour of ruthenium dioxide is examined and a range of CTE values are determined for materials of varying chemical composition. The relationship between CTE and post laser trimming stability is demonstrated on four thick film resistors which differ in thermal expansion. It is pointed out that formulations with high metallic content can absorb tensile stress by elastic deformation, thus minimising the formation or propagation of laser induced cracks.

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