Effect of Bernoulli on the properties of the Ising model in fractal geometry based on the boundary conditions

Abstract

The thermodynamics and magnetic properties of a one-dimensional Ising model defined by a Cantor set are examined in this article. Under various boundary conditions and with finite system sizes, we examine these properties. In our study, we analyze the free and internal energy, heat capacity, and entropy of the model using both deterministic and random metrics. We discover that the Bernoulli trial for forward and backward spins, the boundary conditions, and the system’s finite size affect the model’s properties.