Inverse-temperature 4-vector in special relativityZhong Chao Wu
Department of Physics, Zhejiang University of Technology - Hangzhou 310032, China
received 5 October 2009; accepted in final form 21 October 2009; published October 2009
published online 2 November 2009
There exist several prescriptions for identifying the notion of temperature in special relativity. We argue that the inverse-temperature 4-vector is the only viable option from the laws of thermodynamics, and is a future-directed timelike 4-vector. Using a superfluidity thought experiment, one can show that is not necessarily along the time direction of the comoving frame of the system, as is usually thought. It is conjectured that, for an isolated system, the 4-vector is determined from the entropy-maximum principle.
05.70.-a - Thermodynamics.
03.30.+p - Special relativity.
05.90.+m - Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems.
© EPLA 2009