Extended uncertainty principle and thermodynamics

Abstract

In this paper, we discuss the EUP and thermodynamics. Using three-dimensional extension of the EUP, we find the EUP-corrected Poisson bracket and use it to compute the number of microstates. We use it to discuss some physical models such as monatomic gas in a spherical container, monatomic gas in a cylindrical container, and interacting gas in a spherical container.