Fractional Entropy Decaying and the Third Law of Thermodynamics

Abstract

The quantum thermodynamic property of the fractional damping system is investigated extensively. A fractional power-law decaying entropy function is revealed which presents another evidence for the validity of the third law of thermodynamics in the quantum dissipative region. Several non-trivial characters are excavated such as that the entropy varies from a non-linear diverging function to a semi-linear decaying function of the fractional exponent as the temperature tends to absolute zero.

10 pages, 2 figures, 1 table

References in corpus (3)

• Asymptotic behavior of self-affine processes in semi-infinite domains
• Fractional Brownian motion approach to polymer translocation: the governing equation of motion
• The Third Law of Quantum Thermodynamics in the Presence of Anomalous Couplings