Entanglement of Quantum States, Thermodynamical Statistical   Distributions and Physical Nature of Temperature
  Thermodynamical equilibrium is considered as an effect of quantum entangling of the vacuum state of a system. An explicit mathematical model of multi- particle entangled pure quantum states is developed and analyzed. In the framework, the process of measurement results in probability distributions that exactly correspond to the heat equilibrium of a system in a thermostat. 
A.Yu. Bogdanov, Yu.I. Bogdanov, K.A. Valiev