For a closed system which is not in thermal equilibrium, the most probable consequence is that the entropy of the system is monotonically increasing until a state of thermal equilibrium has been reached [73]. The traditional version of this theorem was given by THOMSON2.9 and PLANCK2.10: A thermo-mechanical circle process which performs only a conversion of heat from a heat capacitor to its equivalent work is impossible [61]. Machines which violate this theorem are called perpetuum mobiles of second order. This can be expressed by
Many thermodynamic problems in microelectronics deal among others with
systems in which chemical reactions are often neglected.
Hence, the number of particles in the system can be assumed to be
constant. So, for a given system
where the number of particles
remains constant (
), the second law of thermodynamics can be
equivalently formulated as the so called thermodynamic identity (2.36) and
its conversions (2.37):
Since every thermodynamic system can be assumed to be a dissipative system, the energy can be split into reversible and irreversible state variable