Abstract
Abstract
Analytic predictions have been derived recently by Dohm and Wessel (2021 Phys. Rev. Lett.
126 060601) from anisotropic φ
4 theory and conformal field theory for the amplitude
F
c
of the critical free energy of finite anisotropic systems in the two-dimensional Ising universality class. These predictions employ the hypothesis of multiparameter universality. We test these predictions by means of high-precision Monte Carlo (MC) simulations for
F
c
of the Ising model on a square lattice with isotropic ferromagnetic couplings between nearest neighbors and with an anisotropic coupling between next-nearest neighbors along one diagonal. We find remarkable agreement between the MC data and the analytical prediction. This agreement supports the validity of multiparameter universality and invalidates two-scale-factor universality as
F
c
is found to exhibit a nonuniversal dependence on the microscopic couplings of the scalar φ
4 model and the Ising model. Our results are compared with the exact result for
F
c
in the three-dimensional φ
4 model with a planar anisotropy in the spherical limit. The critical Casimir amplitude is briefly discussed.
Subject
General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics
Cited by
4 articles.
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