Information and correlation in the Ising system

 

 
• Entropy in the Ising System
• Ising Model - Closed chain
• Probability of states
• Reduced probabilities
• Computing the partition functions
• Simplifying the transfer matrix
• Expression for the partition function
• High order entropies in the Ising system
• The full Ising entropy
• Thermodynamic limit of transfer matrix
• Thermodynamic limit of full Ising entropy
• Thermodynamic limit of high order entropies
• Eigenvalues and Eigenvectors
• Eigenvalues and Eigenvectors in zero external field
• High order entropies in zero external field
• High order reduced distributions of non-contiguous sites
• High order entropies of non-contiguous sites
• Information correlation functions in the Ising system
• Forms of the information correlation function
• Moments, correlations, and cumulants