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Advances in High Energy Physics
Volume 2009 (2009), Article ID 905705, 9 pages
Research Article

Thermodynamics in Loop Quantum Cosmology

Department of Physics, Beijing Normal University, Beijing 100875, China

Received 2 December 2008; Accepted 5 January 2009

Academic Editor: George Siopsis

Copyright © 2009 Li-Fang Li and Jian-Yang Zhu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Loop quantum cosmology (LQC) is very powerful to deal with the behavior of early universe. Moreover, the effective loop quantum cosmology gives a successful description of the universe in the semiclassical region. We consider the apparent horizon of the Friedmann-Robertson-Walker universe as a thermodynamical system and investigate the thermodynamics of LQC in the semiclassical region. The effective density and effective pressure in the modified Friedmann equation from LQC not only determine the evolution of the universe in LQC scenario but also are actually found to be the thermodynamic quantities. This result comes from the energy definition in cosmology (the Misner-Sharp gravitational energy) and is consistent with thermodynamic laws. We prove that within the framework of loop quantum cosmology, the elementary equation of equilibrium thermodynamics is still valid.