Calculations of the dynamical critical exponent using the asymptotic series summation method

TL;DR

This paper explores advanced summation techniques like Padé-Borel and conformal mapping to accurately compute the dynamical critical exponent in both homogeneous and disordered Ising-like systems.

Contribution

It introduces the application of specific asymptotic series summation methods to determine the dynamical critical exponent in complex systems.

Findings

Effective summation methods yield precise critical exponent estimates.

Methods applicable to both homogeneous and disordered systems.

Improved convergence over traditional approaches.

Abstract

We consider how the Pad'e-Borel, Pad'e-Borel-Leroy, and conformal mapping summation methods for asymptotic series can be used to calculate the dynamical critical exponent for homogeneous and disordered Ising-like systems.