  It is highlighted by Prigogine that there are two additional universal
behaviors associated with the entropy production rate besides the four laws of
thermodynamics. One is that the entropy production rate decreases when the
system approaches the steady state, and the other is that the entropy
production rate reaches its minimal value at the steady state. Motivated by the
black hole thermodynamics and AdS/CFT correspondence, we resort to Raychaudhuri
equation to prove that these two universal behaviors are also obeyed by the
black hole entropy. In particular, our result together with the four laws of
black hole thermodynamics further indicates that the holographic gravity should
be universal, not restricted only within the context of AdS/CFT correspondence.
