2014/06/29 by J. Kaupužs, J. Kaupuzs, Kaupuzs, J. +6 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Opinion Dynamics and Social Influence #Quantum Chromodynamics and Particle Interactions #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1406.7491
25 pages, 8 figures, 8 tables. This is a completed version, including a new theorem and new numerical data and analysis
openalex publication_date 2014/06/29 · arxiv created 2015/05/14 · arxiv updated 2015/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Corrections to scaling in the two-dimensional scalar phi4 model are studied based on non-perturbative analytical arguments and Monte Carlo (MC) simulation data for different lattice sizes L (from 4 to 1536) and different values of the phi4 coupling constant lambda, i.~e., lambda = 0.1, 1, 10. According to our analysis, amplitudes of the nontrivial correction terms with the correction-to-scaling exponents omegal < 1 become small when approaching the Ising limit (lambda --> infinity), but such corrections generally exist in the 2D phi4 model. Analytical arguments show the existence of corrections with the exponent 3/4. The numerical analysis suggests that there exist also corrections with the exponent 1/2 and, very likely, also corrections with the exponent about 1/4, which are detectable at lambda = 0.1. The numerical tests clearly show that the structure of corrections to scaling in the 2D phi4 model differs from the usually expected one in the 2D Ising model.