Finite-size scaling characterization of the ±J diluted Ising lattice

Monte Carlo simulation results for the magnetization of subsystems of finite lattices are used to determine the critical temperature and a critical exponent of the simple-cubic Ising model with quenched site dilution, at a concentration of p=40%. Particular attention is paid to the effect of the finite size of the systems from which the subsystem results are obtained. This finiteness of the lattices involved is shown to be a source of large deviations of critical temperatures and exponents estimated from subsystem data from their values in the thermodynamic limit. By the use of different lattice sizes, the results ${\mathit{T}}_{\mathit{c}}$ (40%)=1.209\ifmmode\pm\else\textpm\fi{}0.002 and \ensuremath{\nu}(40%)=0.78\ifmmode\pm\else\textpm\fi{}0.01 could be extrapolated.Monte Carlo simulation results for the magnetization of subsystems of finite lattices are used to determine the critical temperature and a critical exponent of the simple-cubic Ising model with quenched site dilution, at a concentration of p=40%. Particular attention is paid to the effect of the finite size of the systems from which the subsystem results are obtained. This finiteness of the lattices involved is shown to be a source of large deviations of critical temperatures and exponents estimated from subsystem data from their values in the thermodynamic limit. By the use of different lattice sizes, the results ${\mathit{T}}_{\mathit{c}}$(40%)=1.209\ifmmode\pm\else\textpm\fi{}0.002 and \ensuremath{\nu}(40%)=0.78\ifmmode\pm\else\textpm\fi{}0.01 could be extrapolated.

Physical review. B, Condensed matterSep 1, 199320 citations

Study of diluted kinetic Ising model under sinusoidal external field

Sourav Chattopadhyay, S. B. Santra

Abstract The ferromagnet to paramagnet phase transition temperature depends on the dilution concentration in the site diluted Ising ferromagnet. Though this model is a bistable system, few studies reported dynamic phase transition (DPT) in diluted Ising ferromagnet. We study dilution-dependent DPT in diluted Ising ferromagnet via Monte Carlo simulation under a time-varying external field tuning the system’s temperature on several system sizes. The nature of the transition is characterized by employing the finite-size scaling study.Abstract The ferromagnet to paramagnet phase transition temperature depends on the dilution concentration in the site diluted Ising ferromagnet. Though this model is a bistable system, few studies reported dynamic phase transition (DPT) in diluted Ising ferromagnet. We study dilution-dependent DPT in diluted Ising ferromagnet via Monte Carlo simulation under a time-varying external field tuning the system’s temperature on several system sizes. The nature of the transition is characterized by employing the finite-size scaling study.

Journal of Physics Conference SeriesMar 1, 20220 citations

{\mathit{T}}_{\mathit{c}}

(40%)=1.209\ifmmode\pm\else\textpm\fi{}0.002 and \ensuremath{\nu}(40%)=0.78\ifmmode\pm\else\textpm\fi{}0.01 could be extrapolated.