2011/09/05 by Ernst Trojan, Trojan, Ernst
Physics and Astronomy · #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Statistical Mechanics (cond-mat.stat-mech) #astro-ph.CO #cond-mat.stat-mech #hep-ph
paper · pdf · doi:10.48550/arxiv.1109.1026
16 pages, 2 figures
arxiv created 2011/10/03 · arxiv updated 2011/10/04
We analyze several approaches to the thermodynamics of tachyon matter. The energy spectrum of tachyons εk=√(k2-m2) is defined at k≥ m and it is not evident how to determine the tachyonic distribution function and calculate its thermodynamical parameters. Integrations within the range k∈ (m,∞) yields no imaginary quantities and tachyonic thermodynamical functions at zero temperature satisfy the third law of thermodynamics. It is due to an anomalous term added to the pressure. This approach seems to be correct, however, exact analysis shows that the entropy may become negative at finite temperature. The only right choice is to perform integration within the range k∈ (0,∞) , taking extended distribution function fε=1 and the energy spectrum εk=0 when k<m. No imaginary quantity appears and the entropy reveals good behavior. The anomalous pressure of tachyons vanishes but this concept may play very important role in the thermodynamics of other forms of exotic matter.