Unitary Proof of the Second Law of Thermodynamics

摘要: In this chapter, we review how to derive the second law of thermodynamics for systems that obey quantum mechanics at microscopic level. Starting with statement law, it based on statistical [1, 2, 3, 4, 5]. We formulate theory such total system thermodynamic and heat baths unitary evolution, assume initial states are in canonical distribution. Mathematically, our derivation is Klein inequality (or equivalently, positivity relative entropy). The reason why can be derived from reversible evolution due fact select distributions as states.