; Zong, Xue-Mei
; Zhang, Hong] Qufu Normal Univ, Coll Phys & Engn, Shandong Prov Key Lab Laser Polarizat & Informat, Qufu 273165, Peoples R China
; [Wang, Chun-Yang] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
; [Yi, Ming] Chinese Acad Sci, Wuhan Inst Phys & Math, Key Lab Magnet Resonance Biol Syst, Wuhan, Peoples R China
We report in this paper a theoretical study on the quantum thermodynamic properties of a fractional damping system. Through the analysis, few nontrivial characteristics are revealed, which include (1) a fractional power-law decay entropy function, which provides an evidence for the validity of the third law of thermodynamics in the quantum dissipative region and (2) the varying of the entropy from a nonlinear divergent function to a semilinear decay function with a fractional exponent as the temperature approaches absolute zero.