Keywords
the density of states
spontaneous magnetization
magnetization distribution
How to Cite
Abstract
we studied a one-dimensional spin model, one of the most detailed and thoroughly investigated exactly solvable models. Expressions for the density of states D(E), representing the number of states with a given energy E, are well known. In this work, we derived expressions for the generalized density of states D(E,m), which represent the number of states with a given energy E and magnetization m. Knowing D(E,m) allows us not only to calculate the system’s thermodynamic properties but also to analyze the time evolution of spontaneous magnetization m. The expressions were derived for chains with both free and periodic boundary conditions.
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