A note on the relativistic temperature

Abstract

We show that the largely debated Planck-Einstein and Ott-Arzelies relativistic transformations of temperature do not satisfy the closure group property that two successive temperature transformations must be equivalent to a single temperature transformation of the same form with the involved reference frame velocities satisfying the velocity addition law of special relativity. We then suggest relativistic transformations of temperature that do satisfy this closure requirement and argue that they may be interpreted as particular cases of the so-called directional temperature.

References in corpus (15)

• Thermal equilibrium and statistical thermometers in special relativity
• Laying the ghost of the relativistic temperature transformation
• Three Views of a Secret in Relativistic Thermodynamics
• About the temperature of moving bodies
• The zeroth law of thermodynamics in special relativity
• Inverse Temperature 4-vector in Special Relativity
• On the Question of Temperature Transformations under Lorentz and Galilei Boosts
• Relativistic transformation of temperature and Mosengeil-Ott's antinomy
• Lorentz Transform of Black Body Radiation Temperature
• Covariant Thermodynamics of an Object with Finite Volume
• Notes on thermodynamics in special relativity
• Lorentz Transformation of Blackbody Radiation
• Proving the Lorentz invariance of the entropy and the covariance of thermodynamics
• Note on the Relativistic Thermodynamics of Moving Bodies
• Statistical Thermodynamics of Moving Bodies

Cited by in corpus (5)

• Appearance of Odd-Frequency Superconductivity in a Relativistic Scenario
• Relativistic transformation of temperature revisited
• A Collision Operator for Field-Mediated Interactions in General Relativistic Kinetic Theory
• Revealing Noncanonical Hamiltonian Structures in Relativistic Fluid Dynamics
• Study on relativistic transformations for thermodynamic quantities: Boltzmann-Gibbs and Tsallis blast-wave models