dc.contributor.author Kaupuzs J. dc.contributor.author Melnik R. dc.contributor.author Rimsans J. dc.date info:eu-repo/date/embargoEnd/2017-02-01 dc.date.accessioned 2016-06-13T13:32:22Z dc.date.available 2016-06-13T13:32:22Z dc.date.issued 2016-01-01 dc.identifier.issn 0129-1831 dc.identifier.uri http://hdl.handle.net/20.500.11824/163 dc.description.abstract Corrections to scaling in the two-dimensional (2D) scalar (Formula presented.) model are studied based on nonperturbative analytical arguments and Monte Carlo (MC) simulation data for different lattice sizes L ((Formula presented.)) and different values of the (Formula presented.) coupling constant (Formula presented.), i.e. (Formula presented.), 1, 10. According to our analysis, amplitudes of the nontrivial correction terms with the correctionâ€“toâ€“scaling exponents (Formula presented.) become small when approaching the Ising limit ((Formula presented.)), but such corrections generally exist in the 2D (Formula presented.) model. Analytical arguments show the existence of corrections with the exponent (Formula presented.). The numerical analysis suggests that there exist also corrections with the exponent (Formula presented.) and, perhaps, also with the exponent about (Formula presented.), which are detectable at (Formula presented.). The numerical tests provide an evidence that the structure of corrections to scaling in the 2D (Formula presented.) model differs from the usually expected one in the 2D Ising model. dc.format application/pdf dc.language eng dc.publisher International Journal of Modern Physics C dc.rights info:eu-repo/semantics/embargoedAccess dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ dc.subject (Formula presented.) model dc.subject corrections to scaling dc.subject Monte Carlo simulation dc.title Corrections to finite-size scaling in the $\varphi^4$ model on square lattices dc.type info:eu-repo/semantics/article dc.type info:eu-repo/semantics/acceptedVersion dc.identifier.doi 10.1142/S0129183116501084 dc.relation.publisherversion http://www.worldscientific.com/doi/10.1142/S0129183116501084
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