GLOBAL EINSTEIN -AND- VAN CONG RELATIONS, AND NEW OPTICAL-ELECRICAL-THERMOELECTRIC LAWS IN N(P)-TYPE DEGENERATE, COMPENSATED AND VISCOUS InP(1-x)As(x)-CRYSTALLINE ALLOY, ENHANCED BY OUR STATIC DIELECTRIC CONSTANT LAW, CONDUCTIVITY MODEL, AND ESPECIAL

In degenerate, compensated and viscous - crystalline alloy, , the Global Einstein -and- Van Cong relations, as those given in Equations (24, 31), and various optical-electrical-thermoelectric laws, enhanced by: the optico-electrical phenomenon (O-EP) and the electro-optical phenomenon (E-OP), as those defined in Eq. (15), our static dielectric constant law given in Equations (1a, 1b), our conductivity model in Eq. (18), and especially our accurate Fermi energy expression in Eq. (11), are now investigated, by basing on the same physical model and the mathematical treatment method, as those used in our recent works.[1-5] Their numerical results are obtained and given in Tables (3-13), suggesting an equivalence between the degeneracy-and-viscosity concept and another one between the compensation-and-viscosity concept, given in this X(x)- crystalline alloy. Here, the well-known “local” Einstein relation, being valid only at the lowest degeneracy (or lowest viscosity), is now globalized by our “Global” Einstein -and-Van Cong relations, valid at any degeneracy, viscosity and compensation, as showed in Equations (24, 31).

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-01
DOI
https://doi.org/10.5281/zenodo.19906180
Primary Topic
Advanced Physical and Chemical Molecular Interactions
Type
article
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article

GLOBAL EINSTEIN -AND- VAN CONG RELATIONS, AND NEW OPTICAL-ELECRICAL-THERMOELECTRIC LAWS IN N(P)-TYPE DEGENERATE, COMPENSATED AND VISCOUS InP(1-x)As(x)-CRYSTALLINE ALLOY, ENHANCED BY OUR STATIC DIELECTRIC CONSTANT LAW, CONDUCTIVITY MODEL, AND ESPECIAL

Prof. Dr. Huynh Van Cong*
Zenodo (CERN European Organization for Nuclear Research)
Advanced Physical and Chemical Molecular Interactions
article

GLOBAL EINSTEIN -AND- VAN CONG RELATIONS, AND NEW OPTICAL-ELECRICAL-THERMOELECTRIC LAWS IN N(P)-TYPE DEGENERATE, COMPENSATED AND VISCOUS InP(1-x)As(x)-CRYSTALLINE ALLOY, ENHANCED BY OUR STATIC DIELECTRIC CONSTANT LAW, CONDUCTIVITY MODEL, AND ESPECIAL

Prof. Dr. Huynh Van Cong*
article en

Abstract

In degenerate, compensated and viscous - crystalline alloy, , the Global Einstein -and- Van Cong relations, as those given in Equations (24, 31), and various optical-electrical-thermoelectric laws, enhanced by: the optico-electrical phenomenon (O-EP) and the electro-optical phenomenon (E-OP), as those defined in Eq. (15), our static dielectric constant law given in Equations (1a, 1b), our conductivity model in Eq. (18), and especially our accurate Fermi energy expression in Eq. (11), are now investigated, by basing on the same physical model and the mathematical treatment method, as those used in our recent works.[1-5] Their numerical results are obtained and given in Tables (3-13), suggesting an equivalence between the degeneracy-and-viscosity concept and another one between the compensation-and-viscosity concept, given in this X(x)- crystalline alloy. Here, the well-known “local” Einstein relation, being valid only at the lowest degeneracy (or lowest viscosity), is now globalized by our “Global” Einstein -and-Van Cong relations, valid at any degeneracy, viscosity and compensation, as showed in Equations (24, 31).

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 5%
Advanced Physical and Chemical Molecular Interactions
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