Thermodynamics of absolute stiff matter

Ernst Trojan; George V. Vlasov

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arXiv · 1107.1782

Thermodynamics of absolute stiff matter

Ernst Trojan·George V. Vlasov

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Abstract

The 'absolute stiff' matter ($P=E$) can be a Fermi or Bose gas of particles with the energy spectrum $ε_p \sim p^q$ in $q$-dimensional space, particularly $ε_p =p^3/m^2$ in 3-dimensional space. We obtain its pressure, particle number density and heat capacity at finite temperature. The behavior of 'absolute stiff' medium is determined by characteristic temperature $T_c=6π^2n/(γm^2)$. At low temperature the heat capacity obeys the linear law $C_V\sim T$ for both fermionic and bosonic matter, the pressure of 'absolute stiff' fermions $P\sim n^2+O(T^2)$, while the 'absolute stiff' Bose gas never reveals Bose-Einstein condensation.

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Ernst Trojan, George V. Vlasov. 2011-10-04. Thermodynamics of absolute stiff matter. https://arxiv.org/abs/1107.1782

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