Isolated System and Boltzmann Hypothesis S.J.T.U. Phase Transformation and Applications Page 2/42 Microcanonical ensemble An isolated system with N particals in a volume,V,with a fixed energy,E Premise:all microstates are equally probable Boltzmann hypothesis The entropy of a system is linearly related to the logarithm of S=kIn thermodynamic probability the number of different ways that macro-configuration can be achieved. N! Q= Entropy of mixing of two components N!Nu! Distribution of balls SJTU Thermodynamics of Materials Spring2008©X.J.Jimn Lecture 20 surfacePhase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2008 © X. J. Jin Lecture 20 surface Page 2/42 Isolated System and Boltzmann Hypothesis Microcanonical ensemble An isolated system with N particals in a volume, V, with a fixed energy, E Premise: all microstates are equally probable Boltzmann hypothesis The entropy of a system is linearly related to the logarithm of Ω Ω：thermodynamic probability the number of different ways that macro-configuration can be achieved. !! ! ΠΙ =Ω NN N Entropy of mixing of two components = kS lnΩ Distribution of balls