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- W1714248346 abstract "We analyze the critical properties of the three-dimensional Ising model with linear parallel extended defects. Such a form of disorder produces two distinct correlation lengths, a parallel correlation length ξ(∥) in the direction along defects and a perpendicular correlation length ξ(⊥) in the direction perpendicular to the lines. Both ξ(∥) and ξ(⊥) diverge algebraically in the vicinity of the critical point, but the corresponding critical exponents ν(∥) and ν(⊥) take different values. This property is specific for anisotropic scaling and the ratio ν(∥)/ν(⊥) defines the anisotropy exponent θ. Until now, estimates of quantitative characteristics of the critical behavior for such systems have been obtained only within the renormalization group approach. We report a study of the anisotropic scaling in this system via Monte Carlo simulation of the three-dimensional system with Ising spins and nonmagnetic impurities arranged into randomly distributed parallel lines. Several independent estimates for the anisotropy exponent θ of the system are obtained, as well as an estimate of the susceptibility exponent γ. Our results corroborate the renormalization group predictions obtained earlier." @default.
- W1714248346 created "2016-06-24" @default.
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- W1714248346 date "2015-10-07" @default.
- W1714248346 modified "2023-10-18" @default.
- W1714248346 title "Monte Carlo study of anisotropic scaling generated by disorder" @default.
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- W1714248346 doi "https://doi.org/10.1103/physreve.92.042118" @default.
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