scholarly journals On the Influence of the Interaction Laws of a Dynamical Particle System for Sample Optimization

2017 ◽  
Vol 17 (1) ◽  
pp. 137-146
Author(s):  
Jan Mašek ◽  
Miroslav Vořechovský
Keyword(s):  
Particle System ◽  
Optimization Criterion ◽  
Energy Potential ◽  
Statistical Point ◽  
Point Sampling ◽  
Refined Formulation ◽  
Low Dimensional ◽  
Physical Analogy

Abstract The presented paper investigates the effect of the formulation of the energy potential of a dynamical particle system used for the optimization of statistical point sampling. The dynamical particle system, originally developed as a physical analogy to the Audze-Eglajs (AE) optimization criterion and its periodical modification (PAE), effectively demonstrated that the originally proposed energy potential performs well only in poorly applicable scenarios featuring low-dimensional design domains filled with a rather high number of design points. A remedy is presented which involves a refined formulation of the energy potential, as well as its derivation. The reasoning behind this approach is also dealt with in detail.

scholarly journals Design of Experiment Using Simulation of a Discrete Dynamical System

2016 ◽  
Vol 16 (2) ◽  
pp. 125-134
Author(s):  
Jan Mašek ◽  
Petr Frantík ◽  
Miroslav Vořechovský
Keyword(s):  
Dynamical System ◽  
Design Of Experiment ◽  
Discrete Dynamical System ◽  
Optimization Criterion ◽  
Interacting Particles ◽  
Parallel Solution ◽  
Nvidia Cuda ◽  
Java Language ◽  
Language Environment ◽  
Physical Analogy

Abstract The topic of the presented paper is a promising approach to achieve optimal Design of Experiment (DoE), i.e. spreading of points within a design domain, using a simulation of a discrete dynamical system of interacting particles within an n-dimensional design space. The system of mutually repelling particles represents a physical analogy of the Audze-Eglājs (AE) optimization criterion and its periodical modification (PAE), respectively. The paper compares the performance of two approaches to implementation: a single-thread process using the JAVA language environment and a massively parallel solution employing the nVidia CUDA platform.

Thermoelectric Properties of PbSr(Se,Te)-Based Low Dimensional Structures

2000 ◽  
Vol 626 ◽  
Author(s):  
Harald Beyer ◽  
Joachim Nurnus ◽  
Harald Böttner ◽  
Armin Lambrecht ◽  
Lothar Schmitt ◽  
...  
Keyword(s):  
Thermal Conductivity ◽  
Thermoelectric Properties ◽  
Power Factor ◽  
Evaluation Method ◽  
Interband Transition ◽  
Multiple Quantum Well ◽  
Calculated Data ◽  
Multiple Quantum ◽  
Ir Transmission ◽  
Low Dimensional

ABSTRACTThermoelectric properties of low dimensional structures based on PbTe/PbSrTe-multiple quantum-well (MQW)-structures with regard to the structural dimensions, doping profiles and levels are presented. Interband transition energies and barrier band-gap are determined from IR-transmission spectra and compared with Kronig-Penney calculations. The influence of the data evaluation method to obtain the 2D power factor will be discussed. The thermoelectrical data of our layers show a more modest enhancement in the power factor σS2 compared with former publications and are in good agreement with calculated data from Broido et al. [5]. The maximum allowed doping level for modulation doped MQW structures is determined. Thermal conductivity measurements show that a ZT enhancement can be achieved by reducing the thermal conductivity due to interface scattering. Additionally promising lead chalcogenide based superlattices for an increased 3D figure of merit are presented.

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