Corrections to finite--size scaling in the phi^4 model on square lattices
| Druh dokumentu: | Working Paper |
|---|---|
| Přístupová URL adresa: | http://arxiv.org/abs/1406.7491 |
| Přírůstkové číslo: | edsarx.1406.7491 |
| Autor: | Kaupuzs, J., Melnik, R. V. N., Rimsans, J. |
| Rok vydání: | 2014 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Corrections to scaling in the two-dimensional scalar phi^4 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 phi^4 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 omega_l < 1 become small when approaching the Ising limit (lambda --> infinity), but such corrections generally exist in the 2D phi^4 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 phi^4 model differs from the usually expected one in the 2D Ising model. Comment: 25 pages, 8 figures, 8 tables. This is a completed version, including a new theorem and new numerical data and analysis |
| Databáze: | arXiv |
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