TitlePhoton gas thermodynamics in doubly special relativity
AuthorsZhang, Xinyu
Shao, Lijing
Ma, Bo-Qiang
AffiliationPeking Univ, Sch Phys, Beijing 100871, Peoples R China.
Peking Univ, State Key Lab Nucl Phys & Technol, Beijing 100871, Peoples R China.
Peking Univ, Ctr High Energy Phys, Beijing 100871, Peoples R China.
Peking Univ, Ctr Hist & Philosophy Sci, Beijing 100871, Peoples R China.
KeywordsDoubly special relativity
Photon gas
Thermodynamics
GAMMA-RAY BURSTS
LORENTZ VIOLATION
DISPERSION-RELATIONS
QUANTUM-GRAVITY
Issue Date2011
Publisherastroparticle physics
CitationASTROPARTICLE PHYSICS.2011,34,(11),840-845.
AbstractDoubly special relativity (DSR), with both an invariant velocity and an invariant length scale, elegantly preserves the principle of relativity between moving observers, and appears as a promising candidate of the quantum theory of gravity. We study the modifications of photon gas thermodynamics in the framework of DSR with an invariant length vertical bar lambda vertical bar, after properly taking into account the effects of modified dispersion relation, upper bounded energy-momentum space, and deformed integration measure. We show that with a positive the grand partition function, the energy density, the specific heat, the entropy, and the pressure are smaller than those of special relativity (SR), while the velocity of photons and the ratio of pressure to energy are larger. In contrast, with a negative lambda, the quantum gravity effects show up in the opposite direction. However, these effects only manifest themselves significantly when the temperature is larger than 10(-3)E(P). Thus, DSR can have considerable influence on the early universe in cosmological study. (C) 2011 Elsevier B.V. All rights reserved.
URIhttp://hdl.handle.net/20.500.11897/148564
ISSN0927-6505
DOI10.1016/j.astropartphys.2011.03.001
IndexedSCI(E)
Appears in Collections:物理学院
哲学系(宗教学系)
核物理与核技术国家重点实验室

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