Abstract: Thermodynamic stability conditions of equilibrium play an important role in the classical thermodynamics. This paper starts with the principle of entropy increase and introduces the thermodynamic equilibrium condi- tions of isolated homogeneous system. Based on the second derivative of entropy less than zero and combining with the first law of thermodynamics and Maxwell relations, we educe the stability conditions of equilibrium for isolated homogeneous system.

Key words: isolated homogeneous system, principle of entropy increase, thermodynamic system, stability condi- tions of equilibrium