Programme

P.54 -- Posters, VCTP-50

Date: Tuesday, 5 August 2025

Time: 08:30 - 10:00

Investigation of thermodynamic properties of ideal classical and quantum gases in one-, two-, and three-dimensional space.

Phan Quang Son (1), Le Minh Khang (2), Chau Bao Khoa (2), Do Van Tai (2), Ho Nguyen Xuan Bach, Truong Quang Phuoc (2), Tran Duong Anh-Tai (3), Vinh N.T. Pham (2,4)

(1) University of Science, Vietnam National University – Ho Chi Minh City, Vietnam. (2) Department of Physics, Ho Chi Minh City University of Education, Ho Chi Minh City, Vietnam. (3) Quantum Systems Unit, Okinawa Institute of Science and Technology Graduate University (OIST), Onna, Okinawa 904-0495, Japan. (4) Postgraduate Studies Office, Ho Chi Minh City University of Education; Ho Chi Minh City, Vietnam.

The thermodynamic functions of classical and quantum ideal gases have been extensively investigated using analytical and numerical methods, playing a significant role in statistical physics. The examination of these thermodynamic functions is of particular significance to students, as it is a fundamental stage in the comprehension of physical systems at low temperatures and quantum effects. This work involves the explicit temperature dependence of thermodynamic functions, including total energy, heat capacity at constant volume, entropy, and Gibbs free energy, for classical and quantum ideal gases in one-, two-, and three-dimensional spaces. Analytical calculations are conducted. The statistical properties of the Maxwell-Boltzmann, Fermi-Dirac, and Bose-Einstein distribution functions are combined with the grand canonical ensemble to underpin the approach. The validity range of the derived formulas is determined by comparing the analytical expressions with numerical results, which assesses their applicability and accuracy.

Presenter: Phan Quang Sơn