Source Of Complexity

Second law of thermodynamics

Let :

  • be the entropy of the body V

  • the flux of entropy through the surface of V

  • the supply of entropy to the body V

  • the production of entropy within the body V

These quantities obey the balance law:

\begin{equation*} \frac{dH}{dt} = \Phi_{\partial V} + \Omega_{V} + \Pi_V \end{equation*}

and it is the expression of the irreversibility of the physical processes that the entropy production

\begin{equation*} \Pi_V \geqslant 0 \end{equation*}

is non-negative for all processes obeying the conservation laws of mass, momentum, moment of momentum and energy as well as the material equations.

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