An exactly solvable model of a highly efficient thermoelectric engine

TL;DR

This paper introduces a simple classical model of a thermoelectric engine that can operate at Carnot efficiency through specific parameter choices, providing an exact analytical solution.

Contribution

It presents an exactly solvable classical dynamical model demonstrating conditions for maximum thermodynamic efficiency.

Findings

Engine can operate at Carnot efficiency with proper parameters

Analytical solution of the model is provided

Model offers insights into thermoelectric engine optimization

Abstract

We propose a simple classical dynamical model of a thermoelectric (or thermochemical) heat engine based on a pair of ideal gas containers connected by two unequal scattering channels. The model is solved analytically and it is shown that a suitable combination of parameters can be chosen such that the engine operates at Carnot's efficiency.