Abstract

Bell’s non-locality theorem can be understood in terms of classical thermodynamics, which is already considered to be a complete field. However, inconsistencies in classical thermodynamics have been discovered in the area of solid-oxide fuel cells (SOFCs). The use of samarium-doped ceria electrolytes in SOFCs lowers the open-circuit voltage (OCV) to less than the Nernst voltage. This low OCV has been explained by Wagner’s equation, which is based on chemical equilibrium theory. However, Wagner’s equation is insufficient to explain the low OCV, which should be explained by fluctuation and dissipation theorems. Considering the separation of the Boltzmann distribution and Maxwell’s demon, only carrier species with sufficient energy to overcome the activation energy can contribute to current conduction, as determined by incorporating different constants into the definitions of the chemical and electrical potentials. Then, an energy loss equal to the activation energy will occur because of the interactions between ions and electrons. This energy loss means that an additional thermodynamic law based on an advanced model of Maxwell’s demon is needed. In this report, the zero-point energy can be explained by this additional ther-modynamic law, as can Bell’s non-locality theorem.

Highlights

  • Solid-oxide fuel cells (SOFCs) directly convert the chemical energy of fuel gases, such as hydrogen and methane, into electrical energy

  • The use of samarium-doped ceria electrolytes in SOFCs lowers the opencircuit voltage (OCV) to less than the Nernst voltage. This low OCV has been explained by Wagner’s equation, which is based on chemical equilibrium theory

  • The low OCV has been calculated using Wagner’s equation, which is based on chemical equilibrium theory [1] [2]

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Summary

Introduction

Solid-oxide fuel cells (SOFCs) directly convert the chemical energy of fuel gases, such as hydrogen and methane, into electrical energy. The opencircuit voltage (OCV) of an SDC cell is approximately 0.8 V, which is lower than the Nernst voltage (Vth) of 1.15 V at 1073 K. This low OCV is attributed to the low value of the ionic transference number (tion). Equation (1) can be explained using an advanced model of Maxwell’s demon. Bell’s non-locality theorem can be local with this additional thermodynamic law

Problems in Chemical Equilibrium Theory
Prototypical Model of Maxwell’s Demon in Relation to Hopping Conduction
Advanced Model of Maxwell’s Demon in Relation to Hopping Conduction
Additional Thermodynamic Law Based on the Advanced Model of Maxwell’s Demon
Determination Experiment for an Advanced Model of Maxwell’s Demon
Explanation of the Zero-Point Energy in Terms of Classical Thermodynamics
Bell’s Non-Locality Theorem
Confounding Factor of the Inevitable Energy Dissipation
Summary

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