Critical exponents of small one-dimensional ising magnetic

TL;DR

This paper investigates the critical exponents of a finite one-dimensional Ising magnetic system, considering next-nearest neighbor interactions and external fields, to understand its phase transition behavior.

Contribution

It introduces a generalized Ising model for finite 1D systems and calculates critical exponents including the correlation length and dynamic critical exponent z.

Findings

Calculated correlation length exponent considering next-nearest neighbor interactions.

Determined the dynamic critical exponent z under external field influence.

Analyzed effects of finite size and boundary conditions on critical behavior.

Abstract

Within the framework of a generalized Ising model, a one-dimensional magnetic of a finite length with free ends is considered. The correlation length exponent, dynamic critical exponent z of the magnet is calculated taking into account the next nearest neighbor interactions and the external field.