Transformations of Relativistic Temperature: Planck-Einstein, Ott, Landsberg, and Doppler Formulas

w

1

0.4

w

2

-0.4

relative speed

-0.25

This Demonstration illustrates spacetime velocity vectors representing internal energy currents and their equilibration for a system of two relativistic thermodynamic bodies in 1+1 dimensions. The velocities of the two bodies are

a

u

1

=

1

0



and

a

u

2

=

1

1-

2

v



1

v



in units with

c=1

. The corresponding spacelike internal energy current vectors are

a

w

1

=

w

1



0

1



and

a

w

2

=

w

2

1-

2

v



v

1



. The equilibration vectors are the sums

g

i

=

u

i

+

w

i

for

i=1,2

. In thermal equilibrium their directions become parallel.