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Thermodynamics of exotic matter with constant $w=P/E$ | | Ernst Trojan
; George V. Vlasov
; | | Date: |
3 Aug 2011 | | Abstract: | We consider a substance with equation of state $P=wE$ at constant $w$ and
find that it is an ideal gas of quasi-particles with the energy spectrum
$epsilon_psim p^{wq}$ that can constitute either regular matter (when $%
w>0$) or exotic matter (when $w<0$) in a $q$-dimensional space. Particularly,
an ideal gas of fermions or bosons with the energy spectrum
$epsilon_p=m^4/p^3$ in 3-dimensional space will have the pressure $P=-E$.
Exotic material, associated with the dark energy at $E+P<0$, is also included
in analysis. We determine the properties of regular and exotic ideal Fermi gas
at zero temperature and derive a low-temperature expansion of its
thermodynamical functions at finite temperature. The Fermi level of exotic
matter is shifted below the Fermi energy at zero temperature, while the Fermi
level of regular matter is always above it. The heat capacity of any fermionic
substance is always linear dependent on temperature, but exotic matter has
negative entropy and negative heat capacity. | | Source: | arXiv, 1108.0824 | | Services: | Forum | Review | PDF | Favorites | |
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