Saturated logistic avalanche model
نویسندگان
چکیده
The search for an adequate avalanche RPC working model evidenced that the simple exponential growth can describe the electron multiplication phenomena in the gas with acceptable accuracy until the external electric field is not perturbed by the growing avalanche. We present here a model in which the saturated growth induced by the space charge effects is explained in a natural way by a constant coefficient non-linear differential equation, the Logistic equation, which was originally introduced to describe the evolution of a biological population in a limited resources environment. The RPCs, due to the uniform and intense field, proved to be an ideal device to test experimentally the presented model. r 2003 Elsevier Science B.V. All rights reserved. PACS: 52.80.Dy; 51.50.+v; 29.40.Cs
منابع مشابه
APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS IN STABILITY INDEX AND CRITICAL LENGTH IN AVALANCHE DYNAMICS
In this study, Stability analysis of snow slab which is under detonation has developed in the present model. The model has been studied by using the basic concepts of non-detonation model and concepts of underwater explosions with appropriate modifications to the present studies. The studies have also been extended to account the effect of critical length variations at the time of detonation an...
متن کاملAvalanch Zoning Using Artificial Neural Network (MLP) Models (Case Study: Mountainous Area of North Alborz Province)
Avalanche is one of a variety of mass movements that refers to the rapid movement of masses of snow in the direction of slope gradient. Avalanche drives in addition to snow, rock and soil and plant and damage the communication lines, buildings and power lines on the way to the avalanche. In this research, domains with avalanche potential were zoned using artificial neural network model (MLP). I...
متن کاملپهنهبندی گذرگاههای بهمن خیزاستانکردستان
Risk is an inevitable part of life, every day people are somehow at risk. Different risks in various forms and perspectives have different functions. Kurdistan province, with various heights and relatively good rainfall, It results the country's cold spots. Since most of seasonal rainfall occurs in winter, Snow cover is often the domain and passes it hillsides. One of the concerns of people in ...
متن کاملCompact active quenching circuit for fast photon counting with avalanche photodiodes
A compact and flexible circuit for operating avalanche photodiodes in Geiger mode was designed, fabricated, and tested. A new voltage driver stage, based on fast n-channel double-diffused metal– oxide–semiconductor ~DMOS! transistors in a bootstrap configuration, makes it possible to obtain quenching pulses up to 25 V amplitude and fast active reset of the detector. At 20 V excess bias voltage ...
متن کاملA Novel Method for Designing S-Boxes Based on Chaotic Logistic Maps Using Cipher Key
Advanced Encryption Standard (AES) block cipher system is widely used in cryptographic applications. Substitution boxes (S-boxes) are keystone of modern symmetric cryptosystems. They bring nonlinearity to cryptosystems and strengthen their cryptographic security. The S-box component that used in classic AES is fixed. If we generate this S-box dynamically, the cryptographic strength of AES ciphe...
متن کامل