雅可比行列式在平衡稳定性条件中的应用

The Application of Jacobian Determinant in the Equilibrium and Stability Condition

应用雅可比行列式,根据熵判据和内能判据详细推求了孤立的均匀物质系统的平衡稳定性条件CV>0,{P/V}T<0及其它多种表达形式.与常规方法相比,推证中引入雅可比行列式的优点是:思路明确,方法简洁,易于掌握.

With applying Jacobian determinant, the equilibrium and stability conditions CV〉0,{δP/δV}T〈0 and other forms in the isolated homogeneous system have been deduced by entropy criterion and internal energy criterion. Compared with the traditional way of proving, the Jacobian determinant method is clearer, simpler and easier to be understood.