2014/10/10 by Xiuming Zhang, Xiu-Ming Zhang, Chi Tian
Physics and Astronomy · #Bose gas #Condensation #Dust and Plasma Wave Phenomena #Helmholtz free energy #Ideal (ethics) #Ideal gas #Metastability #Noncommutative and Quantum Gravity Theories #Quantum #Quantum Electrodynamics and Casimir Effect #gr-qc #hep-th
paper · pdf · doi:10.1088/0256-307x/32/1/010303
published as 2015 Chinese Phys. Lett. 32 010303
arxiv created 2014/10/10 · openalex publication_date 2015/01/01 · arxiv updated 2015/01/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Based on the generalized uncertainty principle (GUP), the critical temperature and the Helmholtz free energy of Bose—Einstein condensation (BEC) in the relativistic ideal Bose gas are investigated. At the non-relativistic limit and the ultra-relativistic limit, we calculate the analytical form of the shifts of the critical temperature and the Helmholtz free energy caused by weak quantum gravitational effects. The exact numerical results of these shifts are obtained. Quantum gravity effects lift the critical temperature of BEC. By measuring the shift of the critical temperature, we can constrain the deformation parameter β 0 . Furthermore, at lower densities, omitting quantum gravitational effects may lead to a metastable state while at sufficiently high densities, quantum gravitational effects tend to make BEC unstable. Using the numerical methods, the stable-unstable transition temperature is found.