Thermodynamics of absolute stiff matter

Abstract

The 'absolute stiff' matter ($P=E$) can be a Fermi or Bose gas of particles with the energy spectrum ${\epsilon }_p\sim p^q$ in $q$-dimensional space, particularly ${\epsilon }_p=p^3/m^2$ 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 $T_c=6{\pi }^{2}n/(\gamma m^2)$. 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.

14 pages

References in corpus (3)

• Tolman-Oppenheimer-Volkoff equations in presence of the Chaplygin gas: stars and wormhole-like solutions
• Acoustics of tachyon Fermi gas
• Tachyonic thermal excitations and causality

Cited by in corpus (1)

• Thermodynamics of exotic matter with constant w=P/E