Thermodynamics of absolute stiff matter

Abstract

The pressure, particle number density and heat capacity of 'absolute stiff' matter (P = E) at finite temperature are obtained for fermions and bosons. The behavior of 'absolute stiff' medium depends on the characteristic temperature T c = 6π 2 n/ γm 2 , and low temperature expansion (T ≪ T c ) is considered. We also find that the equation of state P = wE at arbitrary constant w can be modeled by an ideal gas of quasi-particles with the energy spectrum ε p = ap wq in q-dimensional space.