scholarly journals Gibbs Grand Thermodynamic Potential in the Theory of Kinetic Crystal Properties

2017 ◽  
Vol 18 (1) ◽  
pp. 7-14
Author(s):  
J.S. Budjak
Keyword(s):  
Thermal Conductivity ◽  
Thermodynamic Potential ◽  
Kinetic Properties ◽  
Generalized Equations ◽  
Equilibrium Thermodynamics ◽  
Huge Number ◽  
Semiconductor Crystals ◽  
Crystal Properties ◽  
Scientific Papers ◽  
Calculation Algorithms

In this paper, using Gibbs grand thermodynamic potential, kinetic tensors of electrical and thermal conductivity generalized equations known in non-equilibrium thermodynamics have been proven. These tensors determine calculation algorithms of the material tensors of conductor crystals and various galvanomagnetic and thermomagnetic effects coefficients. These algorithms are pragmatic formulas in calculation problems of crystals kinetic properties and in the problems for prediction of semiconductor crystals with preset properties. Their pragmatism is proven by the huge number of scientific papers dedicated to kinetic properties of semiconductor crystals study.

scholarly journals A set of important kinetic properties of crystals and their general statistical calculations

2019 ◽  
Vol 19 (3) ◽  
pp. 217-221
Author(s):  
Y. S. Budzhak
Keyword(s):  
Magnetic Field ◽  
Statistical Physics ◽  
Kinetic Properties ◽  
Generalized Equations ◽  
Equilibrium Thermodynamics ◽  
Conductive Medium ◽  
Crystal Properties ◽  
Spatial Quantization ◽  
General Statistical ◽  
The Magnetic Field

In non-equilibrium thermodynamics, the generalized equations of electric conductivity and heat conductivity are well known. They describe the response of the conductive medium to the effect of the drift fields in it and the magnetic field. These equations include phenomenological tensors and coefficients that determine the whole set of important kinetic properties of conducting crystals. Therefore, in order to find out the nature of crystal properties, it is necessary to clarify the nature of the set of kinetic tensors and the coefficients included in the general equilibrium of electrical conductivity and thermal conductivity. In this article, we will calculate the whole complex of these important quantities for isotropic crystals by statistical physics methods for general conditions of observation. And show the effect of spatial quantization on kinetic properties in 2D and 1D crystals.

scholarly journals A Set of the Important Kinetic Properties of Crystals and Their Dependence on the Charge Carriers’ Scattering Mechanisms

2018 ◽  
Vol 19 (4) ◽  
pp. 303-306
Author(s):  
Ya.S. Budzhak ◽  
T. Wacławski
Keyword(s):  
Magnetic Field ◽  
Heat Conduction ◽  
Statistical Physics ◽  
Charge Carriers ◽  
Conducting Medium ◽  
Kinetic Properties ◽  
Generalized Equations ◽  
Equilibrium Thermodynamics ◽  
General Observation ◽  
Crystal Properties

In non-equilibrium thermodynamics, there are known the generalized equations of electrical and heat conduction. They describe the response of conducting medium to the action of drift fields in the medium as well as a magnetic field. The phenomenological tensors and coefficients in these equations describe all set of the important kinetic properties of conducting crystals. Therefore, to provide an explanation for the nature of the crystal properties, the nature of a set of the kinetic tensors and coefficients must be explained. In this paper, under general observation conditions, the whole set of these quantities that are important for isotropic crystals, is calculated with the use of statistical physics methods.

Equilibrium and Kinetic Properties of Minerals

1998 ◽  
Vol 62 (5) ◽  
pp. 581-583
Author(s):  
Simon A. T. Redfern
Keyword(s):  
Solid State ◽  
Statistical Mechanics ◽  
Structural Features ◽  
Atomic Scale ◽  
Kinetic Properties ◽  
Computational Power ◽  
Equilibrium Thermodynamics ◽  
Bulk Properties ◽  
Scale Characteristics ◽  
Number Of Publications

How can the equilibrium and non-equilibrium thermodynamics of minerals be understood from their atomic-scale structural features? How can they be predicted, simply from models for the forces between atoms? Advances in analytical theory, statistical mechanics, experimental solid-state science, computational power, and the sophistication of a mineralogical approach that brings all of these together, means that these questions, once imponderable, are now realistically tractable. These questions have been exercising the minds of mineralogists over the last decade or so, and have motivated many developments in the science. Acting as way-markers along the path, there are a number of publications which have followed from meetings where these questions have been addressed. It is now twelve years since the publication of Microscopic to Macroscopic, an edition of Reviews in Mineralogy (Kieffer and Navrotsky, 1985) that sought to identify the fundamental controls on the bulk properties of minerals in terms of their atomic-scale characteristics.

scholarly journals On the Question of the Problems of Statistical Calculations of the Conducting Crystals Thermodynamic and Kinetic Properties

2019 ◽  
Vol 20 (4) ◽  
pp. 345-353
Author(s):  
Ya.S. Budzhak ◽  
T. Wacławski
Keyword(s):  
Equilibrium State ◽  
Thermodynamic Equilibrium ◽  
Thermodynamic Potential ◽  
Chemical Potential ◽  
Thermodynamic Characteristics ◽  
Kinetic Properties ◽  
Elementary Model ◽  
Dispersion Law ◽  
Thermodynamic Equilibrium State

This paper presents an elementary model of a crystal and its thermodynamic equilibrium state. It was shown that the thermodynamic characteristics of the crystal at this state are described by the Gibbs grand thermodynamic potential. If the crystal is removed away from the equilibrium state, then in this state it will be described by the set of kinetic properties, and these properties are statistically calculated with the use of the non-equilibrium Gibbs grand thermodynamic potential. Crystals’ thermodynamic and kinetic properties have analytical dependence on the current carriers dispersion law and chemical potential of these carriers. In this work, it was shown that the determination of the dispersion law and chemical potential – these are complicated problems of statistical and kinetic theories of crystals’ properties.

Effect of annealing on the kinetic properties and band parameters of Hg1−x−y Cd x Eu y Se semiconductor crystals

2014 ◽  
Vol 48 (12) ◽  
pp. 1680-1684
Author(s):  
T. T. Kovalyuk ◽  
E. V. Maistruk ◽  
P. D. Maryanchuk
Keyword(s):  
Kinetic Properties ◽  
Semiconductor Crystals

Non-Equilibrium Dislocation Dynamics in Semiconductor Crystals and Superlattices

2018 ◽  
Vol 43 (2) ◽  
pp. 163-170 ◽  
Author(s):  
David Jou ◽  
Liliana Restuccia
Keyword(s):  
Mechanical Properties ◽  
Heat Flux ◽  
Relative Orientation ◽  
Dislocation Dynamics ◽  
Rate Equations ◽  
Internal Variables ◽  
Equilibrium Thermodynamics ◽  
Semiconductor Crystals ◽  
Standard Procedures ◽  
Non Equilibrium

AbstractA model for semiconductor crystals and superlattices with dislocations proposed in a previous paper is used here to study the thermal, electrical and mechanical properties of these defective materials. The standard procedures of non-equilibrium thermodynamics with internal variables are applied to derive in the linear approximation constitutive equations as well as rate equations for the dislocation, charges and heat flux fields, containing coupled effects among the different fields. A new dislocation tensor is used to describe the geometry of the dislocation lines, because their relative orientation with respect to the superlattice interfaces is very relevant.

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