title: Fractional entropy decay and the third law of thermodynamics.
abstract: 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.
authors.affiliation: Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, College of Physics and Engineering, Qufu Normal University, Qufu 273165, China and State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China.
authors.forename: Chun-Yang
authors.initials: CY
authors.lastname: Wang
authors.affiliation: Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, College of Physics and Engineering, Qufu Normal University, Qufu 273165, China.
authors.forename: Xue-Mei
authors.initials: XM
authors.lastname: Zong
authors.affiliation: Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, College of Physics and Engineering, Qufu Normal University, Qufu 273165, China.
authors.forename: Hong
authors.initials: H
authors.lastname: Zhang
authors.affiliation: Key Laboratory of Magnetic Resonance in Biological Systems, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, China.
authors.forename: Ming
authors.initials: M
authors.lastname: Yi
mesh_terms: D008962:Models, Theoretical; D009038:Motion; D011789:Quantum Theory; D013816:Thermodynamics