This is a contributed entry on Thermodynamics principles and/or laws; the latter are defined
as those primary propositions that are fundamental to the logical and mathematical
development of Thermodynamics in accord with all experimental findings in classical molecular
physics. Thus, thermodynamics has its historical roots in studies of heat and Molecular
Physics.
In particular, such thermodynamic laws impose essential constrains on the equations of state and
state functions that are employed to describe all closed thermodynamic systems. However, the
thermodynamic treatment of open systems is not yet a ‘closed book’. One also notes that such
thermodynamic laws that hold for all closed systems may still be further derived from statistical
mechanics.
1 Principles of Thermodynamics
1.1 Basic Concepts
Thermodynamic systems: Closed vs. Open systems.
Thermodynamic Processes: Reversible vs. Irreversible := equilibrium vs. Non-equilibrium
1.2 The Zeroth Principle
1.2.1 Thermal Equilibrium definition. Temperature and Molecular Motions
Temperature is a measure of the degree of molecular motion: the higher the average magnitude of
velocities in a system measured at equilibrium with the system, the higher the temperature is (the
hotter the system is).
absolute temperature scale
[More to come...]
Remark 1.1. Whereas absolute temperatures of molecular systems can only take on positive
values, spin temperature–or spin-lattice temperature– for example, may take on ‘negative’
values as a result of spin population inversion through polarization, or cross-polarization.
Such cross-polarization processes might be thus utilized in designing and operating quantum
‘computers’ or quantum nano-robots.
1.3 The First Principle
Total energy Conservation
1.4 The Second Principle
During any thermodynamic process the entropy of a closed system always increases if the closed
system is not at equilibrium (when the latter becomes constant), [or, equivalently, that perpetual
motion machines are impossible].
1.5 The Third Principle
The entropy of any crystalline system tends to zero in the limit of absolute zero temperature.
1.6 Discussion
Suggested Fourth Principle: the Onsager reciprocity relations for non-equilibrium, open
systems
Remark: Commonly, the four principles of reversible thermodynamics are also known as ”the four
thermodynamic laws”.