IoHT :: 10+ Variations of the Zeroth Law of Thermodynamics

Pick the best 0th Law:
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[1] Maxwell, J. (1872). Source: Perrot, P. (1998). A to Z of Thermodynamics (dictionary). New York: Oxford University Press.

[2] Fowler, R. (1931). Source: [www.jcphysics.com] [URL] + Cengel, Y. & Boles, M. (2002). Thermodynamics – an Engineering Approach, 4th Ed. (textbook). New York: McGraw Hill.

[3] Bent, H. (1965). The Second Law – an Introduction to Classical and Statistical Thermodynamics. (textbook). New York: Oxford University Press.

[4] Adkins, C. (1983). Equilibrium Thermodynamics, 3rd Ed. (textbook). Cambridge: Cambridge University Press.

[5] Black, W. & Hartley, J. (1996). Thermodynamics, 3rd Ed. (textbook). New York: Harper Collins.

[6] Kondepudi, D. & Prigogine, I. (1998). Modern Thermodynamics – From Heat Engines to Dissipative Structures (textbook). New York: John Wiley & Sons.

[7] Wark, R. & Richards, D. (1999). Thermodynamics, 6th Ed. (textbook). New York: McGraw-Hill.

[8] Schroeder, D. (2000). An Introduction to Thermal Physics. (textbook). New York: Addison Wesley Longman.

[9] Exell, R.H.B. (2001). "The Zeroth Law of Thermodynamics" [URL]. King Mongkut's University of Technology Thonburi.

[10-11] Cengel, Y. & Boles, M. (2002). Thermodynamics – an Engineering Approach, 4th Ed. (textbook). New York: McGraw Hill.

[12] Schneider, E. & Sagan, D. (2005). Into The Cool - Energy Flow, Thermodynamics, and Life. Chicago: University of Chicago Press.

Two systems A and B in thermal equilibrium with a third system C are in thermal equilibrium with one another.

Maxwell
[1872]

The (heat transfer) principle of Fowler.

Fowler
[1931]

If bodies A and B are found to be in thermal equilibrium with each other:
(ΔE/ΔS)_A = (ΔE/ΔS)_B
and bodies A and C are found to be in thermal equilibrium with each other:
(ΔE/ΔS)_A = (ΔE/ΔS)_C
it follows that:
(ΔE/ΔS)_B = (ΔE/ΔS)_C
implying that bodies B and C when tested against each other would be found to be in thermal equilibrium.

Bent
[1965]

If two systems are separately in thermal equilibrium with a third, then they must also be in thermal equilibrium with each other.

Adkins
[1983]

When two bodies have equality of temperature with a third body, they have equality of temperature with each other.

Black & Hartley
[1996]

The “transitivity” of the state of equilibrium, where two or more systems that interact and exchange energy and / or matter will eventually reach the state of thermal equilibrium in which the temperatures of all systems are equal.

Kondepudi & Prigogine
[1998]

When each of two systems is in thermal equilibrium with a third system, they also will be in thermal equilibrium with each other.

Wark & Richards
[1999]

If system A is in thermal equilibrium with system B, and system B is in thermal equilibrium with system C, then system A is in thermal equilibrium with system C.

Schroeder
[2000]

Two thermodynamic systems in thermal equilibrium with the same environment are in thermal equilibrium with each other.

Exell
[2001]

10.

If two bodies are in thermal equilibrium with a third body, they are also in thermal equilibrium with each other.

Cengel & Boles
[2002]

11.

Two bodies are in thermal equilibrium if both have the same temperature reading even if they are not in contact.

Cengel & Boles
[2002]

12.

When a closed thermodynamic system within rigid heat-proof walls reaches the point of no more change, the system has reached a state of thermal equilibrium.

Schneider & Sagan
[2005]