Nonequilibrium random-field Ising model on a diluted triangular lattice

TL;DR

This study investigates critical hysteresis in the nonequilibrium random-field Ising model on a 2D lattice with variable coordination, revealing universal critical behavior for certain coordination ranges.

Contribution

It demonstrates that the RFIM exhibits universal critical exponents on a diluted triangular lattice within a specific coordination range, advancing understanding of nonequilibrium critical phenomena.

Findings

Critical behavior exists for 4 < z_eff ≤ 6

Critical exponents are independent of z_eff

Supports universality in nonequilibrium phase transitions

Abstract

We study critical hysteresis in the random-field Ising model (RFIM) on a two-dimensional periodic lattice with a variable coordination number $z_{eff}$ in the range $3 \le z_{eff} \le 6$. We find that the model supports critical behavior in the range $4 < z_{eff} \le 6$, but the critical exponents are independent of $z_{eff}$. The result is discussed in the context of the universality of nonequilibrium critical phenomena and extant results in the field.