Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Analytical Calculation of Superconducting Transition Temperatures Including a Complete Consideration of Many-Body Interactions and Non-equilibrium States

Version 1 : Received: 24 February 2022 / Approved: 24 February 2022 / Online: 24 February 2022 (08:31:58 CET)
Version 2 : Received: 17 March 2022 / Approved: 17 March 2022 / Online: 17 March 2022 (12:09:08 CET)

How to cite: Ishiguri, S. Analytical Calculation of Superconducting Transition Temperatures Including a Complete Consideration of Many-Body Interactions and Non-equilibrium States. Preprints 2022, 2022020304 (doi: 10.20944/preprints202202.0304.v1). Ishiguri, S. Analytical Calculation of Superconducting Transition Temperatures Including a Complete Consideration of Many-Body Interactions and Non-equilibrium States. Preprints 2022, 2022020304 (doi: 10.20944/preprints202202.0304.v1).

Abstract

In this work, we analytically describe a superconducting transition in a non-equilibrium state taking into account many-body interactions; the obtained transition temperatures indicate the presence of superconductivity at non-refrigeration temperatures. First, we consider many-body interactions and discuss the case of locally thermal equilibrium with many-body interactions; in this section, we derive statistical equations that describe many-body interactions at locally thermal equilibrium state. Then, the same theory is used to derive a many-body statistical equation that is expanded to include the case of non-equilibrium states; in this case a transition temperature is derived. Moreover, a wave function of an EPR pair (Einstein-Podolsky-Rosen pair) is calculated according to the Lorentz conservation, and a specific condensation is observed and the Meissner effect is found to be present. Furthermore, considering the Lorentz conservations, relativistic energy, and Boltzmann statistics, algorithms are presented to calculate charge density, current density, and internal local energy. We note that these calculations do not require a specific code but instead utilize the software Microsoft Excel. We present plots showing the charge density and current density vs. the applied electric potential, which demonstrate the practical applicability of the theory. Moreover, internal local energy was found to be close to zero for sufficiently large electric potentials at non-refrigeration temperatures.This paper describes non-equilibrium and EPR-pair type superconductivity, with the complete consideration of many-body interactions.

Keywords

non-equilibrium superconductivity; EPR-pair superconductivity; Many-body interaction; transition temperature; Lorentz conservations

Subject

PHYSICAL SCIENCES, Condensed Matter Physics

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