For the Ising model in the thermodynamic limit, its natural log is equal to the number of particles times the natural log of the largest eigenvalue of the transfer matrix. For
For the Ising model in the thermodynamic limit, its natural log is equal to the number of particles times the natural log of the largest eigenvalue of the transfer matrix. For N harmonic oscillators, it is equal to beta times h-bar times the frequency, all raised to the negative N power, and its natural log times the Boltzmann constant times the temperature gives the Helmholtz free energy. Its basic form can be derived from considering a system in equilibrium with a heat bath, and in the case of degenerate energy levels, each term in it must be multiplied by a weight factor. FTP, what is this basic quantity of statistical mechanics, the sum of the Boltzmann factors over all the energy states of the system?
For the Ising model in the thermodynamic limit, its natural log is equal to the number of particles times the natural log of the largest eigenvalue of the transfer matrix.
partition function