Entropy and Its Quantum Thermodynamical Implication for Anomalous   Spectral Systems
  The state function entropy and its quantum thermodynamical implication for two typical dissipative systems with anomalous spectral densities are studied by investigating on their low-temperature quantum behavior. In all cases it is found that the entropy decays quickly and vanishes as the temperature approaches zero. This reveals a good conformity with the third law of thermodynamics and provides another evidence for the validity of fundamental thermodynamical laws in the quantum dissipative region. 
Chun-Yang Wang, An-Qi Zhao, Xiang-Mu Kong, Jing-Dong Bao
cond-mat.stat-mech