For flat loop quantum cosmology with logarithmic entropy corrections, the standard generalized second law fails just after the bounce for most correction values, and a sign-flipped law with negative temperatures is valid there instead.
Thermodynamics in new model of loop quantum cosmology
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abstract
The thermodynamic properties of loop quantum cosmology (LQC) without considering the Lorentz term were established in \cite{Zhu09}. In this paper, we extend this result to the recent proposed new model of LQC with the Lorentz term. We investigate the thermodynamics of LQC on the apparent horizon of the Friedmann-Lematre-Robertson-Walker universe. The result shows that the effective density and effective pressure in the modified Friedmann equation of LQC not only determines the evolution of the universe but can also serve as the thermodynamic quantities. Moreover, with the help of the Misner-Sharp energy, the first law of thermodynamics of the LQC is still valid as expected. This in turn endows precise physical meaning to the effective matter density $\rho_{eff}$ and the effective pressure $P_{eff}$.
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gr-qc 1years
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Entropy in Loop Quantum Cosmology
For flat loop quantum cosmology with logarithmic entropy corrections, the standard generalized second law fails just after the bounce for most correction values, and a sign-flipped law with negative temperatures is valid there instead.