We have developed an analytical model for evaporative cooling [1]. By simulating evaporation as a sequence of discrete steps, we could predict the time dependence of all important parameters such as temperature, density, elastic collision rate. By incorporating trap loss due to background gas collisions into our model we derived the threshold conditions for “run-away” evaporation. This is chara...

The Sérsic model has become the standard for parametrizing the surface brightness distribution of early-type galaxies and bulges of spiral galaxies. A major problem is that the deprojection of the Sérsic surface brightness profile to a luminosity density cannot be executed analytically for general values of the Sérsic index. We use Mellin integral transforms to derive an analytical expressions ...

This paper presents a model for quantitative risk analysis with the application of geographic information systems (GISs) using Bayesian theory. It was used for the thematic integration of maps in a natural state (vegetation, geological-geotechnical, natural drainage and gradient). A landslide susceptibility map was produced based on this integration associated with vulnerability data (time and ...

In support of hyperspectral sensor system design and parameter tradeoff investigations, an analytical end-to-end remote sensing system performance forecasting model is being developed. The model uses statistical descriptions of class reflectances in a scene and propagates them through the effects of the atmosphere, the sensor, and any processing transformations. A resultant system performance m...

The memristor, a resistor with memory, was postulated by Chua in 1971 and the first solid-state memristor was built in 2008. Recently, we found memristors in vivo in plants. Here we propose a simple analytical model of 2 types of memristors that can be found within plants. The electrostimulation of plants by bipolar periodic waves induces electrical responses in the Aloe vera and Mimosa pudica ...

Under RFID sensor network environment, there are many situations to accommodate a number of RFID sensors within a specific area. In this paper, we build an analytical model of RFID sensor network and develop the analysis by using queuing system with ∞ / / 1 / / N M M . In order to study the application in RFID sensor network for the queue model, we give out long-run Time-average number of RFID ...

The model of scientific paradigms spreading throughout the community of agents with memory is analyzed using the master equation. The case of two competing ideas is considered for various networks of interactions, including agents placed at Erd˝ os-Rényi graphs or complete graphs. The pace of adopting a new idea by a community is analyzed, along with the distribution of periods after which a ne...

This paper presents a new exact analytical model for Single electron transistor (SET) applicable for circuit simulation. It was developed based on orthodox theory of single electronics using master equation. A scheme was suggested to determine the most probable occupied electron states. The proposed model is more flexible that is valid for single or multi gate, symmetric or asymmetric devices a...

Abstract. TNC controllers are microprocessor systems, used for data transmission in Packet Radio network that may be considered as an example of a wireless, wide area network. On the basis of Packet Radio infrastructure we may also form telemetric and remote control network using APRS protocol. TNC controllers may cooperate with other similar networks as well. In this paper, an analytical model...