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June 1, 20260 citationsOpen Access

GLOBAL EINSTEIN -AND- VAN CONG RELATIONS, AND NEW OPTICAL-ELECRICAL-THERMOELECTRIC LAWS IN N(P)-TYPE DEGENERATE, COMPENSATED AND VISCOUS InAs(1-x)Sb(x)-CRYSTALLINE ALLOY, ENHANCED BY OUR STATIC DIELECTRIC CONSTANT LAW, CONDUCTIVITY MODEL, AND ESPECIALLY ACCURATE FERMI ENERGY EXPRESSION (35)

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PCProf. Dr. Huynh Van Cong*

Key Points

  • This research explores the Global Einstein and Van Cong relations, applicable across various conditions in crystalline alloys.
  • Investigated relations and laws through a consistent physical model and mathematical treatment.
  • Provided numerical results based on experiments detailed in previous works.
  • Carried out analyses using equations related to dielectric constants, conductivity, and Fermi energy.
  • Demonstrated an equivalence between degeneracy, compensation, and viscosity in the crystalline alloy.
  • Established global applicability of the Einstein relation beyond the lowest degeneracy, viscosity, and compensation.
  • Validated new optical-electrical-thermoelectric laws through enhanced models.

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 degeneracy-compensation-viscosity concept, given in this X(x)- crystalline alloy. Here, the well-known “local” Einstein relation, being valid only at the lowest degeneracy, lowest viscosity and lowest compensation, is now globalized by our “Global” Einstein -and- Van Cong relations, valid at any degeneracy, viscosity and compensation, as showed in Equations (24, 31).

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Prof. Dr. Huynh Van Cong* (2026) studied this question.

synapsesocial.com/papers/6a1d236002fbce91306390c5https://doi.org/10.5281/zenodo.20455044
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