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DY: Fachverband Dynamik und Statistische Physik

DY 15: Statistical Physics - general

DY 15.6: Vortrag

Dienstag, 17. März 2015, 10:45–11:00, BH-N 334

Corrections to finite–size scaling in the ϕ⁴ model on square lattices — •Jevgenijs Kaupuzs — University of Latvia, LV-1459 Riga, Latvia

Corrections to scaling in the two–dimensional scalar ϕ⁴ model are studied based on non–perturbative analytical arguments and Monte Carlo (MC) simulation data for different lattice sizes L (4 ≤ L ≤ 1536) and different values of the ϕ⁴ coupling constant λ, i. e., λ = 0.1, 1, 10. According to our analysis, amplitudes of the nontrivial correction terms with the correction–to–scaling exponents ω_ℓ < 1 become small when approaching the Ising limit (λ → ∞), but such corrections generally exist in the 2D ϕ⁴ model. Analytical arguments show the existence of corrections with the exponent 3/4. The numerical analysis suggests that there exists also a correction with the exponent 1/2, which is detectable at λ = 0.1. The numerical tests clearly show that the structure of corrections to scaling in the 2D ϕ⁴ model differs from the usually expected one in the 2D Ising model.