Relativistic quantum heat engine with the presence of minimal length

Abstract

The presence of a minimal length has a significant effect on relativistic physical systems. This paper discusses how minimal length affects the efficiency of a relativistic quantum heat engine. The working substance chosen is a Dirac particle trapped in a one-dimensional infinite potential well. In this paper, we calculate the efficiency of a quantum heat engine in three thermodynamic cycles, namely the Carnot, Otto, and Brayton cycles. The engine efficiency is calculated analytically and numerically. In this research, the minimal length is a correction factor for the relativistic energy. The result is that the minimal length could increase or decrease the efficiency of the relativistic quantum heat engine on the small potential width according to the particle mass, the expansion parameter, and the thermodynamic cycle.